GCD of 972, 357, 150, 867 Calculator

Given Input numbers are 972, 357, 150, 867

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 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

GCD of numbers is the greatest common divisor

So, the GCD (972, 357, 150, 867) = 3.

Given numbers are 972, 357, 150, 867

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 357 are 3 x 7 x 17

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 867 are 3 x 17 x 17

The highest common occurrence is 3¹

Therefore, GCD of 972, 357, 150, 867 is 3.

Given numbers are 972, 357, 150, 867

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

Apply this formula for all numbers.

Step1:

LCM(972, 357) = 115668

GCD(972, 357) = ( 972 x 357 ) / 115668

= 972 / 357

= 972

Step2:

LCM(3, 150) = 150

GCD(3, 150) = ( 3 x 150 ) / 150

= 3 / 150

= 3

Step3:

LCM(3, 867) = 867

GCD(3, 867) = ( 3 x 867 ) / 867

= 3 / 867

= 3

So, Greatest Common Divisor of 972, 357, 150, 867 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 572, 309, 156, 756
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• GCD of 188, 190, 426, 479
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• GCD of 849, 610, 453, 299

Given numbers are 972, 357, 150, 867
The greatest common divisor of numbers 972, 357, 150, 867 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 357, 150, 867 is 3.

1. What is the GCD of 972, 357, 150, 867?

GCD of given numbers 972, 357, 150, 867 is 3

2. How to calculate the greatest common divisor of 972, 357, 150, 867?

We can find the highest common divisor of 972, 357, 150, 867 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, 357, 150, 867 i.e 3.

3. How can I use the GCD of 972, 357, 150, 867Calculator?

Out the numbers 972, 357, 150, 867 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.