GCD of 972, 508, 102, 742 Calculator

Given Input numbers are 972, 508, 102, 742

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 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (972, 508, 102, 742) = 2.

Given numbers are 972, 508, 102, 742

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 508 are 2 x 2 x 127

Prime factors of 102 are 2 x 3 x 17

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 972, 508, 102, 742 is 2.

Given numbers are 972, 508, 102, 742

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

Apply this formula for all numbers.

Step1:

LCM(972, 508) = 123444

GCD(972, 508) = ( 972 x 508 ) / 123444

= 972 / 508

= 972

Step2:

LCM(4, 102) = 204

GCD(4, 102) = ( 4 x 102 ) / 204

= 4 / 102

= 4

Step3:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

So, Greatest Common Divisor of 972, 508, 102, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 810, 495, 465
• GCD of 227, 509, 645, 890
• GCD of 803, 531, 490, 930
• GCD of 715, 247, 916, 738
• GCD of 462, 222, 733, 795

Given numbers are 972, 508, 102, 742
The greatest common divisor of numbers 972, 508, 102, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 508, 102, 742 is 2.

1. What is the GCD of 972, 508, 102, 742?

GCD of given numbers 972, 508, 102, 742 is 2

2. How to calculate the greatest common divisor of 972, 508, 102, 742?

We can find the highest common divisor of 972, 508, 102, 742 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, 508, 102, 742 i.e 2.

3. How can I use the GCD of 972, 508, 102, 742Calculator?

Out the numbers 972, 508, 102, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.