GCD of 756, 600, 493, 632 Calculator

Given Input numbers are 756, 600, 493, 632

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 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

GCD of numbers is the greatest common divisor

So, the GCD (756, 600, 493, 632) = 1.

Given numbers are 756, 600, 493, 632

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 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 493 are 17 x 29

Prime factors of 632 are 2 x 2 x 2 x 79

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

Given numbers are 756, 600, 493, 632

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

Apply this formula for all numbers.

Step1:

LCM(756, 600) = 37800

GCD(756, 600) = ( 756 x 600 ) / 37800

= 756 / 600

= 756

Step2:

LCM(12, 493) = 5916

GCD(12, 493) = ( 12 x 493 ) / 5916

= 12 / 493

= 12

Step3:

LCM(1, 632) = 632

GCD(1, 632) = ( 1 x 632 ) / 632

= 1 / 632

= 1

So, Greatest Common Divisor of 756, 600, 493, 632 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 198, 511, 729
• GCD of 299, 443, 381, 516
• GCD of 700, 837, 913, 107
• GCD of 521, 374, 519, 985
• GCD of 323, 647, 642, 100

Given numbers are 756, 600, 493, 632
The greatest common divisor of numbers 756, 600, 493, 632 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 600, 493, 632 is 1.

1. What is the GCD of 756, 600, 493, 632?

GCD of given numbers 756, 600, 493, 632 is 1

2. How to calculate the greatest common divisor of 756, 600, 493, 632?

We can find the highest common divisor of 756, 600, 493, 632 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, 600, 493, 632 i.e 1.

3. How can I use the GCD of 756, 600, 493, 632Calculator?

Out the numbers 756, 600, 493, 632 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.