GCD of 972, 952, 800, 709 Calculator

Given Input numbers are 972, 952, 800, 709

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 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

GCD of numbers is the greatest common divisor

So, the GCD (972, 952, 800, 709) = 1.

Given numbers are 972, 952, 800, 709

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 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 709 are 709

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

Given numbers are 972, 952, 800, 709

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

Apply this formula for all numbers.

Step1:

LCM(972, 952) = 231336

GCD(972, 952) = ( 972 x 952 ) / 231336

= 972 / 952

= 972

Step2:

LCM(4, 800) = 800

GCD(4, 800) = ( 4 x 800 ) / 800

= 4 / 800

= 4

Step3:

LCM(4, 709) = 2836

GCD(4, 709) = ( 4 x 709 ) / 2836

= 4 / 709

= 4

So, Greatest Common Divisor of 972, 952, 800, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 185, 399, 148, 163
• GCD of 118, 437, 160, 897
• GCD of 811, 784, 675, 597
• GCD of 420, 320, 210, 437
• GCD of 247, 707, 913, 852

Given numbers are 972, 952, 800, 709
The greatest common divisor of numbers 972, 952, 800, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 952, 800, 709 is 1.

1. What is the GCD of 972, 952, 800, 709?

GCD of given numbers 972, 952, 800, 709 is 1

2. How to calculate the greatest common divisor of 972, 952, 800, 709?

We can find the highest common divisor of 972, 952, 800, 709 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, 952, 800, 709 i.e 1.

3. How can I use the GCD of 972, 952, 800, 709Calculator?

Out the numbers 972, 952, 800, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.