Take Class 10 Tuition from the Best Tutors
Affordable fees 1-1 or Group class Flexible Timings Verified Tutors Search in
Asked by Jacob Last Modified
Answer To find the Highest Common Factor (HCF) of 52 and 117 and express it in the form 52x + 117y, we can use the Euclidean algorithm.
Step 1: Find the Remainder
Divide the larger number by the smaller number and find the remainder.
117=2×52+13117=2×52+13
So, the remainder is 13.
Step 2: Replace Numbers
Now, replace the divisor with the previous remainder, and the dividend with the divisor.
52=4×13+052=4×13+0
Here, the remainder is 0, so we stop. The divisor at this step, which is 13, is the HCF.
Expressing in the given form
Now, we backtrack to express the HCF, which is 13, in the form 52x + 117y.
Using the reverse steps of the Euclidean algorithm, we can express the HCF as a linear combination of 52 and 117:
13=117−2×5213=117−2×52
Hence, the HCF of 52 and 117 expressed in the form 52x + 117y is 13=117−2×5213=117−2×52.
Related Questions
Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com
Ask a QuestionRelated Lessons
Recommended Articles
Meet Swati, a Hindi Tutor from Bangalore
Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...
Read full article >
Meet Raghunandan.G.H, a B. Tech Tutor from...
Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...
Read full article >
Quest Academy - Institute of the month
Quest Academy is a professional Bangalore based NEET and JEE (Main + Advanced) training institute. The academy was incorporated in 2015 to cater to the needs of students, who aim to crack competitive exams by connecting with the best brains around. The institute helps students enhance their skills and capabilities through...
Read full article >
Meet Sandhya R, a B.Sc tutor from Bangalore
Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...
Read full article >
Looking for Class 10 Tuition ?
Learn from the Best Tutors on UrbanPro
Are you a Tutor or Training Institute?
Join UrbanPro Today to find students near youThe best tutors for Class 10 Tuition Classes are on UrbanPro
The best Tutors for Class 10 Tuition Classes are on UrbanPro
9
