GCD of 972, 152, 378, 142 Calculator

Given Input numbers are 972, 152, 378, 142

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 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (972, 152, 378, 142) = 2.

Given numbers are 972, 152, 378, 142

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 152 are 2 x 2 x 2 x 19

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 972, 152, 378, 142 is 2.

Given numbers are 972, 152, 378, 142

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

Apply this formula for all numbers.

Step1:

LCM(972, 152) = 36936

GCD(972, 152) = ( 972 x 152 ) / 36936

= 972 / 152

= 972

Step2:

LCM(4, 378) = 756

GCD(4, 378) = ( 4 x 378 ) / 756

= 4 / 378

= 4

Step3:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

So, Greatest Common Divisor of 972, 152, 378, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 794, 821, 104, 338
• GCD of 471, 869, 441, 103
• GCD of 151, 150, 233, 581
• GCD of 925, 498, 441, 100
• GCD of 944, 341, 948, 359

Given numbers are 972, 152, 378, 142
The greatest common divisor of numbers 972, 152, 378, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 152, 378, 142 is 2.

1. What is the GCD of 972, 152, 378, 142?

GCD of given numbers 972, 152, 378, 142 is 2

2. How to calculate the greatest common divisor of 972, 152, 378, 142?

We can find the highest common divisor of 972, 152, 378, 142 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, 152, 378, 142 i.e 2.

3. How can I use the GCD of 972, 152, 378, 142Calculator?

Out the numbers 972, 152, 378, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.