GCD of 972, 144, 361, 910 Calculator

Given Input numbers are 972, 144, 361, 910

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 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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 910 :

The positive integer divisors of 910 that completely divides 910 are.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

GCD of numbers is the greatest common divisor

So, the GCD (972, 144, 361, 910) = 1.

Given numbers are 972, 144, 361, 910

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 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 361 are 19 x 19

Prime factors of 910 are 2 x 5 x 7 x 13

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

Given numbers are 972, 144, 361, 910

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

Apply this formula for all numbers.

Step1:

LCM(972, 144) = 3888

GCD(972, 144) = ( 972 x 144 ) / 3888

= 972 / 144

= 972

Step2:

LCM(36, 361) = 12996

GCD(36, 361) = ( 36 x 361 ) / 12996

= 36 / 361

= 36

Step3:

LCM(1, 910) = 910

GCD(1, 910) = ( 1 x 910 ) / 910

= 1 / 910

= 1

So, Greatest Common Divisor of 972, 144, 361, 910 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 490, 773, 439, 846
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Given numbers are 972, 144, 361, 910
The greatest common divisor of numbers 972, 144, 361, 910 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 144, 361, 910 is 1.

1. What is the GCD of 972, 144, 361, 910?

GCD of given numbers 972, 144, 361, 910 is 1

2. How to calculate the greatest common divisor of 972, 144, 361, 910?

We can find the highest common divisor of 972, 144, 361, 910 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, 144, 361, 910 i.e 1.

3. How can I use the GCD of 972, 144, 361, 910Calculator?

Out the numbers 972, 144, 361, 910 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.