GCD of 972, 440, 180, 525 Calculator

Given Input numbers are 972, 440, 180, 525

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 440 :

The positive integer divisors of 440 that completely divides 440 are.

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

GCD of numbers is the greatest common divisor

So, the GCD (972, 440, 180, 525) = 1.

Given numbers are 972, 440, 180, 525

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 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 525 are 3 x 5 x 5 x 7

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

Given numbers are 972, 440, 180, 525

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

Apply this formula for all numbers.

Step1:

LCM(972, 440) = 106920

GCD(972, 440) = ( 972 x 440 ) / 106920

= 972 / 440

= 972

Step2:

LCM(4, 180) = 180

GCD(4, 180) = ( 4 x 180 ) / 180

= 4 / 180

= 4

Step3:

LCM(4, 525) = 2100

GCD(4, 525) = ( 4 x 525 ) / 2100

= 4 / 525

= 4

So, Greatest Common Divisor of 972, 440, 180, 525 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 118, 518, 841, 629
• GCD of 603, 854, 755, 914
• GCD of 142, 935, 844, 480
• GCD of 661, 489, 876, 636
• GCD of 143, 777, 884, 300

Given numbers are 972, 440, 180, 525
The greatest common divisor of numbers 972, 440, 180, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 440, 180, 525 is 1.

1. What is the GCD of 972, 440, 180, 525?

GCD of given numbers 972, 440, 180, 525 is 1

2. How to calculate the greatest common divisor of 972, 440, 180, 525?

We can find the highest common divisor of 972, 440, 180, 525 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, 440, 180, 525 i.e 1.

3. How can I use the GCD of 972, 440, 180, 525Calculator?

Out the numbers 972, 440, 180, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.