GCD of 972, 880, 360, 459 Calculator

Given Input numbers are 972, 880, 360, 459

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 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

GCD of numbers is the greatest common divisor

So, the GCD (972, 880, 360, 459) = 1.

Given numbers are 972, 880, 360, 459

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 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 459 are 3 x 3 x 3 x 17

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

Given numbers are 972, 880, 360, 459

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

Apply this formula for all numbers.

Step1:

LCM(972, 880) = 213840

GCD(972, 880) = ( 972 x 880 ) / 213840

= 972 / 880

= 972

Step2:

LCM(4, 360) = 360

GCD(4, 360) = ( 4 x 360 ) / 360

= 4 / 360

= 4

Step3:

LCM(4, 459) = 1836

GCD(4, 459) = ( 4 x 459 ) / 1836

= 4 / 459

= 4

So, Greatest Common Divisor of 972, 880, 360, 459 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 229, 729, 940, 928
• GCD of 919, 775, 617, 123
• GCD of 276, 479, 502, 673
• GCD of 941, 927, 937, 701
• GCD of 416, 459, 689, 140

Given numbers are 972, 880, 360, 459
The greatest common divisor of numbers 972, 880, 360, 459 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 880, 360, 459 is 1.

1. What is the GCD of 972, 880, 360, 459?

GCD of given numbers 972, 880, 360, 459 is 1

2. How to calculate the greatest common divisor of 972, 880, 360, 459?

We can find the highest common divisor of 972, 880, 360, 459 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, 880, 360, 459 i.e 1.

3. How can I use the GCD of 972, 880, 360, 459Calculator?

Out the numbers 972, 880, 360, 459 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.