GCD of 972, 225, 507, 887 Calculator

Given Input numbers are 972, 225, 507, 887

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 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 887 :

The positive integer divisors of 887 that completely divides 887 are.

1, 887

GCD of numbers is the greatest common divisor

So, the GCD (972, 225, 507, 887) = 1.

Given numbers are 972, 225, 507, 887

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 225 are 3 x 3 x 5 x 5

Prime factors of 507 are 3 x 13 x 13

Prime factors of 887 are 887

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

Given numbers are 972, 225, 507, 887

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

Apply this formula for all numbers.

Step1:

LCM(972, 225) = 24300

GCD(972, 225) = ( 972 x 225 ) / 24300

= 972 / 225

= 972

Step2:

LCM(9, 507) = 1521

GCD(9, 507) = ( 9 x 507 ) / 1521

= 9 / 507

= 9

Step3:

LCM(3, 887) = 2661

GCD(3, 887) = ( 3 x 887 ) / 2661

= 3 / 887

= 3

So, Greatest Common Divisor of 972, 225, 507, 887 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 661, 661, 431
• GCD of 427, 151, 816, 243
• GCD of 903, 336, 435, 973
• GCD of 779, 322, 505, 823
• GCD of 622, 316, 564, 134

Given numbers are 972, 225, 507, 887
The greatest common divisor of numbers 972, 225, 507, 887 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 225, 507, 887 is 1.

1. What is the GCD of 972, 225, 507, 887?

GCD of given numbers 972, 225, 507, 887 is 1

2. How to calculate the greatest common divisor of 972, 225, 507, 887?

We can find the highest common divisor of 972, 225, 507, 887 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, 225, 507, 887 i.e 1.

3. How can I use the GCD of 972, 225, 507, 887Calculator?

Out the numbers 972, 225, 507, 887 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.