GCD of 537, 123, 756, 675 Calculator

Given Input numbers are 537, 123, 756, 675

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

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

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 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

GCD of numbers is the greatest common divisor

So, the GCD (537, 123, 756, 675) = 3.

Given numbers are 537, 123, 756, 675

The list of prime factors of all numbers are

Prime factors of 537 are 3 x 179

Prime factors of 123 are 3 x 41

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

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 537, 123, 756, 675 is 3.

Given numbers are 537, 123, 756, 675

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

Apply this formula for all numbers.

Step1:

LCM(537, 123) = 22017

GCD(537, 123) = ( 537 x 123 ) / 22017

= 537 / 123

= 537

Step2:

LCM(3, 756) = 756

GCD(3, 756) = ( 3 x 756 ) / 756

= 3 / 756

= 3

Step3:

LCM(3, 675) = 675

GCD(3, 675) = ( 3 x 675 ) / 675

= 3 / 675

= 3

So, Greatest Common Divisor of 537, 123, 756, 675 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 997, 756, 746
• GCD of 298, 518, 108, 290
• GCD of 185, 351, 911, 884
• GCD of 148, 295, 405, 807
• GCD of 424, 854, 968, 748

Given numbers are 537, 123, 756, 675
The greatest common divisor of numbers 537, 123, 756, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 537, 123, 756, 675 is 3.

1. What is the GCD of 537, 123, 756, 675?

GCD of given numbers 537, 123, 756, 675 is 3

2. How to calculate the greatest common divisor of 537, 123, 756, 675?

We can find the highest common divisor of 537, 123, 756, 675 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 537, 123, 756, 675 i.e 3.

3. How can I use the GCD of 537, 123, 756, 675Calculator?

Out the numbers 537, 123, 756, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.