Online GCD Calculator is useful to find the GCD of 972, 755, 831, 657 quickly. Get the easiest ways to solve the greatest common divisor of 972, 755, 831, 657 i.e 1 in different methods as follows.
Given Input numbers are 972, 755, 831, 657
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 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
Divisors of 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
GCD of numbers is the greatest common divisor
So, the GCD (972, 755, 831, 657) = 1.
Given numbers are 972, 755, 831, 657
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 755 are 5 x 151
Prime factors of 831 are 3 x 277
Prime factors of 657 are 3 x 3 x 73
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 755, 831, 657
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 755) = 733860
GCD(972, 755) = ( 972 x 755 ) / 733860
= 972 / 755
= 972
Step2:
LCM(1, 831) = 831
GCD(1, 831) = ( 1 x 831 ) / 831
= 1 / 831
= 1
Step3:
LCM(1, 657) = 657
GCD(1, 657) = ( 1 x 657 ) / 657
= 1 / 657
= 1
So, Greatest Common Divisor of 972, 755, 831, 657 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 755, 831, 657
The greatest common divisor of numbers 972, 755, 831, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 755, 831, 657 is 1.
1. What is the GCD of 972, 755, 831, 657?
GCD of given numbers 972, 755, 831, 657 is 1
2. How to calculate the greatest common divisor of 972, 755, 831, 657?
We can find the highest common divisor of 972, 755, 831, 657 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, 755, 831, 657 i.e 1.
3. How can I use the GCD of 972, 755, 831, 657Calculator?
Out the numbers 972, 755, 831, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.