GCD of 902, 847, 682 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 902, 847, 682 quickly. Get the easiest ways to solve the greatest common divisor of 902, 847, 682 i.e 11 in different methods as follows.
Given Input numbers are 902, 847, 682
In the factoring method, we have to find the divisors of all numbers
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 847 :
The positive integer divisors of 847 that completely divides 847 are.
1, 7, 11, 77, 121, 847
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
GCD of numbers is the greatest common divisor
So, the GCD (902, 847, 682) = 11.
Given numbers are 902, 847, 682
The list of prime factors of all numbers are
Prime factors of 902 are 2 x 11 x 41
Prime factors of 847 are 7 x 11 x 11
Prime factors of 682 are 2 x 11 x 31
The highest common occurrence is 111
Therefore, GCD of 902, 847, 682 is 11.
Steps to Calculate GCD of 902, 847, 682 using LCM Formula
Given numbers are 902, 847, 682
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(902, 847) = 69454
GCD(902, 847) = ( 902 x 847 ) / 69454
= 902 / 847
= 902
Step2:
LCM(11, 682) = 682
GCD(11, 682) = ( 11 x 682 ) / 682
= 11 / 682
= 11
So, Greatest Common Divisor of 902, 847, 682 is 11
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 902, 847, 682
Given numbers are 902, 847, 682
The greatest common divisor of numbers 902, 847, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 847, 682 is 11.
FAQs on GCD of 902, 847, 682 Calculator
1. What is the GCD of 902, 847, 682?
GCD of given numbers 902, 847, 682 is 11
2. How to calculate the greatest common divisor of 902, 847, 682?
We can find the highest common divisor of 902, 847, 682 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 902, 847, 682 i.e 11.
3. How can I use the GCD of 902, 847, 682Calculator?
Out the numbers 902, 847, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.