GCD of 972, 282, 674, 996 Calculator

Given Input numbers are 972, 282, 674, 996

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 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (972, 282, 674, 996) = 2.

Given numbers are 972, 282, 674, 996

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 282 are 2 x 3 x 47

Prime factors of 674 are 2 x 337

Prime factors of 996 are 2 x 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 972, 282, 674, 996 is 2.

Given numbers are 972, 282, 674, 996

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

Apply this formula for all numbers.

Step1:

LCM(972, 282) = 45684

GCD(972, 282) = ( 972 x 282 ) / 45684

= 972 / 282

= 972

Step2:

LCM(6, 674) = 2022

GCD(6, 674) = ( 6 x 674 ) / 2022

= 6 / 674

= 6

Step3:

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

= 2 / 996

= 2

So, Greatest Common Divisor of 972, 282, 674, 996 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 260, 649, 492
• GCD of 993, 222, 466, 214
• GCD of 799, 971, 756, 697
• GCD of 556, 938, 511, 714
• GCD of 505, 246, 650, 361

Given numbers are 972, 282, 674, 996
The greatest common divisor of numbers 972, 282, 674, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 282, 674, 996 is 2.

1. What is the GCD of 972, 282, 674, 996?

GCD of given numbers 972, 282, 674, 996 is 2

2. How to calculate the greatest common divisor of 972, 282, 674, 996?

We can find the highest common divisor of 972, 282, 674, 996 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, 282, 674, 996 i.e 2.

3. How can I use the GCD of 972, 282, 674, 996Calculator?

Out the numbers 972, 282, 674, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.