GCD of 252, 924, 552, 780 Calculator

Given Input numbers are 252, 924, 552, 780

In the factoring method, we have to find the divisors of all numbers

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

GCD of numbers is the greatest common divisor

So, the GCD (252, 924, 552, 780) = 12.

Given numbers are 252, 924, 552, 780

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

The highest common occurrence is 2² x 3¹

Therefore, GCD of 252, 924, 552, 780 is 12.

Given numbers are 252, 924, 552, 780

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

Apply this formula for all numbers.

Step1:

LCM(252, 924) = 2772

GCD(252, 924) = ( 252 x 924 ) / 2772

= 252 / 924

= 252

Step2:

LCM(84, 552) = 3864

GCD(84, 552) = ( 84 x 552 ) / 3864

= 84 / 552

= 84

Step3:

LCM(12, 780) = 780

GCD(12, 780) = ( 12 x 780 ) / 780

= 12 / 780

= 12

So, Greatest Common Divisor of 252, 924, 552, 780 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 928, 474, 740
• GCD of 478, 248, 151, 609
• GCD of 490, 948, 677, 184
• GCD of 873, 710, 519, 320
• GCD of 289, 684, 362, 275

Given numbers are 252, 924, 552, 780
The greatest common divisor of numbers 252, 924, 552, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 924, 552, 780 is 12.

1. What is the GCD of 252, 924, 552, 780?

GCD of given numbers 252, 924, 552, 780 is 12

2. How to calculate the greatest common divisor of 252, 924, 552, 780?

We can find the highest common divisor of 252, 924, 552, 780 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 252, 924, 552, 780 i.e 12.

3. How can I use the GCD of 252, 924, 552, 780Calculator?

Out the numbers 252, 924, 552, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.