Online GCD Calculator is useful to find the GCD of 871, 676, 637 quickly. Get the easiest ways to solve the greatest common divisor of 871, 676, 637 i.e 13 in different methods as follows.
Given Input numbers are 871, 676, 637
In the factoring method, we have to find the divisors of all numbers
Divisors of 871 :
The positive integer divisors of 871 that completely divides 871 are.
1, 13, 67, 871
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 637 :
The positive integer divisors of 637 that completely divides 637 are.
1, 7, 13, 49, 91, 637
GCD of numbers is the greatest common divisor
So, the GCD (871, 676, 637) = 13.
Given numbers are 871, 676, 637
The list of prime factors of all numbers are
Prime factors of 871 are 13 x 67
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 637 are 7 x 7 x 13
The highest common occurrence is 131
Therefore, GCD of 871, 676, 637 is 13.
Given numbers are 871, 676, 637
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(871, 676) = 45292
GCD(871, 676) = ( 871 x 676 ) / 45292
= 871 / 676
= 871
Step2:
LCM(13, 637) = 637
GCD(13, 637) = ( 13 x 637 ) / 637
= 13 / 637
= 13
So, Greatest Common Divisor of 871, 676, 637 is 13
Here are some samples of GCD of Numbers calculations.
Given numbers are 871, 676, 637
The greatest common divisor of numbers 871, 676, 637 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 676, 637 is 13.
1. What is the GCD of 871, 676, 637?
GCD of given numbers 871, 676, 637 is 13
2. How to calculate the greatest common divisor of 871, 676, 637?
We can find the highest common divisor of 871, 676, 637 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 871, 676, 637 i.e 13.
3. How can I use the GCD of 871, 676, 637Calculator?
Out the numbers 871, 676, 637 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.