GCD of 935, 748, 902 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 935, 748, 902 quickly. Get the easiest ways to solve the greatest common divisor of 935, 748, 902 i.e 11 in different methods as follows.
Given Input numbers are 935, 748, 902
In the factoring method, we have to find the divisors of all numbers
Divisors of 935 :
The positive integer divisors of 935 that completely divides 935 are.
1, 5, 11, 17, 55, 85, 187, 935
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
GCD of numbers is the greatest common divisor
So, the GCD (935, 748, 902) = 11.
Given numbers are 935, 748, 902
The list of prime factors of all numbers are
Prime factors of 935 are 5 x 11 x 17
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 902 are 2 x 11 x 41
The highest common occurrence is 111
Therefore, GCD of 935, 748, 902 is 11.
Steps to Calculate GCD of 935, 748, 902 using LCM Formula
Given numbers are 935, 748, 902
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(935, 748) = 3740
GCD(935, 748) = ( 935 x 748 ) / 3740
= 935 / 748
= 935
Step2:
LCM(187, 902) = 15334
GCD(187, 902) = ( 187 x 902 ) / 15334
= 187 / 902
= 187
So, Greatest Common Divisor of 935, 748, 902 is 11
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 935, 748, 902
Given numbers are 935, 748, 902
The greatest common divisor of numbers 935, 748, 902 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 935, 748, 902 is 11.
FAQs on GCD of 935, 748, 902 Calculator
1. What is the GCD of 935, 748, 902?
GCD of given numbers 935, 748, 902 is 11
2. How to calculate the greatest common divisor of 935, 748, 902?
We can find the highest common divisor of 935, 748, 902 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 935, 748, 902 i.e 11.
3. How can I use the GCD of 935, 748, 902Calculator?
Out the numbers 935, 748, 902 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.