GCD of 972, 795, 968, 561 Calculator

Given Input numbers are 972, 795, 968, 561

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 795 :

The positive integer divisors of 795 that completely divides 795 are.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

GCD of numbers is the greatest common divisor

So, the GCD (972, 795, 968, 561) = 1.

Given numbers are 972, 795, 968, 561

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 795 are 3 x 5 x 53

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 561 are 3 x 11 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 972, 795, 968, 561

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(972, 795) = 257580

GCD(972, 795) = ( 972 x 795 ) / 257580

= 972 / 795

= 972

Step2:

LCM(3, 968) = 2904

GCD(3, 968) = ( 3 x 968 ) / 2904

= 3 / 968

= 3

Step3:

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

= 1 / 561

= 1

So, Greatest Common Divisor of 972, 795, 968, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 114, 570, 207
• GCD of 355, 307, 805, 581
• GCD of 746, 964, 223, 339
• GCD of 115, 608, 809, 732
• GCD of 767, 649, 799, 420

Given numbers are 972, 795, 968, 561
The greatest common divisor of numbers 972, 795, 968, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 795, 968, 561 is 1.

1. What is the GCD of 972, 795, 968, 561?

GCD of given numbers 972, 795, 968, 561 is 1

2. How to calculate the greatest common divisor of 972, 795, 968, 561?

We can find the highest common divisor of 972, 795, 968, 561 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, 795, 968, 561 i.e 1.

3. How can I use the GCD of 972, 795, 968, 561Calculator?

Out the numbers 972, 795, 968, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.