GCD of 972, 963, 525, 561 Calculator

Given Input numbers are 972, 963, 525, 561

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 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

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

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

GCD of numbers is the greatest common divisor

So, the GCD (972, 963, 525, 561) = 3.

Given numbers are 972, 963, 525, 561

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 963 are 3 x 3 x 107

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

Prime factors of 561 are 3 x 11 x 17

The highest common occurrence is 3¹

Therefore, GCD of 972, 963, 525, 561 is 3.

Given numbers are 972, 963, 525, 561

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

Apply this formula for all numbers.

Step1:

LCM(972, 963) = 104004

GCD(972, 963) = ( 972 x 963 ) / 104004

= 972 / 963

= 972

Step2:

LCM(9, 525) = 1575

GCD(9, 525) = ( 9 x 525 ) / 1575

= 9 / 525

= 9

Step3:

LCM(3, 561) = 561

GCD(3, 561) = ( 3 x 561 ) / 561

= 3 / 561

= 3

So, Greatest Common Divisor of 972, 963, 525, 561 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 470, 707, 379
• GCD of 502, 705, 324, 272
• GCD of 123, 642, 851, 296
• GCD of 388, 228, 549, 999
• GCD of 480, 325, 909, 930

Given numbers are 972, 963, 525, 561
The greatest common divisor of numbers 972, 963, 525, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 963, 525, 561 is 3.

1. What is the GCD of 972, 963, 525, 561?

GCD of given numbers 972, 963, 525, 561 is 3

2. How to calculate the greatest common divisor of 972, 963, 525, 561?

We can find the highest common divisor of 972, 963, 525, 561 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, 963, 525, 561 i.e 3.

3. How can I use the GCD of 972, 963, 525, 561Calculator?

Out the numbers 972, 963, 525, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.