GCD of 756, 975, 237, 504 Calculator

Given Input numbers are 756, 975, 237, 504

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 237 :

The positive integer divisors of 237 that completely divides 237 are.

1, 3, 79, 237

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (756, 975, 237, 504) = 3.

Given numbers are 756, 975, 237, 504

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 237 are 3 x 79

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 756, 975, 237, 504 is 3.

Given numbers are 756, 975, 237, 504

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

Apply this formula for all numbers.

Step1:

LCM(756, 975) = 245700

GCD(756, 975) = ( 756 x 975 ) / 245700

= 756 / 975

= 756

Step2:

LCM(3, 237) = 237

GCD(3, 237) = ( 3 x 237 ) / 237

= 3 / 237

= 3

Step3:

LCM(3, 504) = 504

GCD(3, 504) = ( 3 x 504 ) / 504

= 3 / 504

= 3

So, Greatest Common Divisor of 756, 975, 237, 504 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 780, 921, 954, 228
• GCD of 254, 737, 552, 837
• GCD of 858, 204, 610, 875
• GCD of 370, 422, 909, 192
• GCD of 332, 462, 838, 342

Given numbers are 756, 975, 237, 504
The greatest common divisor of numbers 756, 975, 237, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 975, 237, 504 is 3.

1. What is the GCD of 756, 975, 237, 504?

GCD of given numbers 756, 975, 237, 504 is 3

2. How to calculate the greatest common divisor of 756, 975, 237, 504?

We can find the highest common divisor of 756, 975, 237, 504 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 756, 975, 237, 504 i.e 3.

3. How can I use the GCD of 756, 975, 237, 504Calculator?

Out the numbers 756, 975, 237, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.