GCD of 972, 898, 956, 824 Calculator

Given Input numbers are 972, 898, 956, 824

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 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (972, 898, 956, 824) = 2.

Given numbers are 972, 898, 956, 824

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 898 are 2 x 449

Prime factors of 956 are 2 x 2 x 239

Prime factors of 824 are 2 x 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 972, 898, 956, 824 is 2.

Given numbers are 972, 898, 956, 824

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

Apply this formula for all numbers.

Step1:

LCM(972, 898) = 436428

GCD(972, 898) = ( 972 x 898 ) / 436428

= 972 / 898

= 972

Step2:

LCM(2, 956) = 956

GCD(2, 956) = ( 2 x 956 ) / 956

= 2 / 956

= 2

Step3:

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

= 2 / 824

= 2

So, Greatest Common Divisor of 972, 898, 956, 824 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 685, 894, 325
• GCD of 409, 543, 349, 575
• GCD of 520, 960, 409, 640
• GCD of 196, 571, 408, 235
• GCD of 294, 998, 416, 468

Given numbers are 972, 898, 956, 824
The greatest common divisor of numbers 972, 898, 956, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 898, 956, 824 is 2.

1. What is the GCD of 972, 898, 956, 824?

GCD of given numbers 972, 898, 956, 824 is 2

2. How to calculate the greatest common divisor of 972, 898, 956, 824?

We can find the highest common divisor of 972, 898, 956, 824 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, 898, 956, 824 i.e 2.

3. How can I use the GCD of 972, 898, 956, 824Calculator?

Out the numbers 972, 898, 956, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.