Online GCD Calculator is useful to find the GCD of 756, 271, 202, 972 quickly. Get the easiest ways to solve the greatest common divisor of 756, 271, 202, 972 i.e 1 in different methods as follows.
Given Input numbers are 756, 271, 202, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 271 :
The positive integer divisors of 271 that completely divides 271 are.
1, 271
Divisors of 202 :
The positive integer divisors of 202 that completely divides 202 are.
1, 2, 101, 202
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
GCD of numbers is the greatest common divisor
So, the GCD (756, 271, 202, 972) = 1.
Given numbers are 756, 271, 202, 972
The list of prime factors of all numbers are
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 271 are 271
Prime factors of 202 are 2 x 101
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 756, 271, 202, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 271) = 204876
GCD(756, 271) = ( 756 x 271 ) / 204876
= 756 / 271
= 756
Step2:
LCM(1, 202) = 202
GCD(1, 202) = ( 1 x 202 ) / 202
= 1 / 202
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 756, 271, 202, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 271, 202, 972
The greatest common divisor of numbers 756, 271, 202, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 271, 202, 972 is 1.
1. What is the GCD of 756, 271, 202, 972?
GCD of given numbers 756, 271, 202, 972 is 1
2. How to calculate the greatest common divisor of 756, 271, 202, 972?
We can find the highest common divisor of 756, 271, 202, 972 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 756, 271, 202, 972 i.e 1.
3. How can I use the GCD of 756, 271, 202, 972Calculator?
Out the numbers 756, 271, 202, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.