GCD of 972, 137, 152, 144 Calculator

Given Input numbers are 972, 137, 152, 144

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 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 152 :

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

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (972, 137, 152, 144) = 1.

Given numbers are 972, 137, 152, 144

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 137 are 137

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 972, 137, 152, 144

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

Apply this formula for all numbers.

Step1:

LCM(972, 137) = 133164

GCD(972, 137) = ( 972 x 137 ) / 133164

= 972 / 137

= 972

Step2:

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

= 1 / 152

= 1

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 972, 137, 152, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 309, 324, 643
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• GCD of 489, 780, 297, 603
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• GCD of 374, 790, 142, 795

Given numbers are 972, 137, 152, 144
The greatest common divisor of numbers 972, 137, 152, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 137, 152, 144 is 1.

1. What is the GCD of 972, 137, 152, 144?

GCD of given numbers 972, 137, 152, 144 is 1

2. How to calculate the greatest common divisor of 972, 137, 152, 144?

We can find the highest common divisor of 972, 137, 152, 144 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, 137, 152, 144 i.e 1.

3. How can I use the GCD of 972, 137, 152, 144Calculator?

Out the numbers 972, 137, 152, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.