Online GCD Calculator is useful to find the GCD of 972, 756, 80, 897 quickly. Get the easiest ways to solve the greatest common divisor of 972, 756, 80, 897 i.e 1 in different methods as follows.
Given Input numbers are 972, 756, 80, 897
In the factoring method, we have to find the divisors of all numbers
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
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 80 :
The positive integer divisors of 80 that completely divides 80 are.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
GCD of numbers is the greatest common divisor
So, the GCD (972, 756, 80, 897) = 1.
Given numbers are 972, 756, 80, 897
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 80 are 2 x 2 x 2 x 2 x 5
Prime factors of 897 are 3 x 13 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 756, 80, 897
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 756) = 6804
GCD(972, 756) = ( 972 x 756 ) / 6804
= 972 / 756
= 972
Step2:
LCM(108, 80) = 2160
GCD(108, 80) = ( 108 x 80 ) / 2160
= 108 / 80
= 108
Step3:
LCM(4, 897) = 3588
GCD(4, 897) = ( 4 x 897 ) / 3588
= 4 / 897
= 4
So, Greatest Common Divisor of 972, 756, 80, 897 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 756, 80, 897
The greatest common divisor of numbers 972, 756, 80, 897 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 756, 80, 897 is 1.
1. What is the GCD of 972, 756, 80, 897?
GCD of given numbers 972, 756, 80, 897 is 1
2. How to calculate the greatest common divisor of 972, 756, 80, 897?
We can find the highest common divisor of 972, 756, 80, 897 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 972, 756, 80, 897 i.e 1.
3. How can I use the GCD of 972, 756, 80, 897Calculator?
Out the numbers 972, 756, 80, 897 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.