GCD of 100, 428, 493, 756 Calculator

Given Input numbers are 100, 428, 493, 756

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 493 :

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

1, 17, 29, 493

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

GCD of numbers is the greatest common divisor

So, the GCD (100, 428, 493, 756) = 1.

Given numbers are 100, 428, 493, 756

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 428 are 2 x 2 x 107

Prime factors of 493 are 17 x 29

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

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

Given numbers are 100, 428, 493, 756

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

Apply this formula for all numbers.

Step1:

LCM(100, 428) = 10700

GCD(100, 428) = ( 100 x 428 ) / 10700

= 100 / 428

= 100

Step2:

LCM(4, 493) = 1972

GCD(4, 493) = ( 4 x 493 ) / 1972

= 4 / 493

= 4

Step3:

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

= 1 / 756

= 1

So, Greatest Common Divisor of 100, 428, 493, 756 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 430, 650, 398, 835
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• GCD of 925, 574, 120, 328

Given numbers are 100, 428, 493, 756
The greatest common divisor of numbers 100, 428, 493, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 428, 493, 756 is 1.

1. What is the GCD of 100, 428, 493, 756?

GCD of given numbers 100, 428, 493, 756 is 1

2. How to calculate the greatest common divisor of 100, 428, 493, 756?

We can find the highest common divisor of 100, 428, 493, 756 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 100, 428, 493, 756 i.e 1.

3. How can I use the GCD of 100, 428, 493, 756Calculator?

Out the numbers 100, 428, 493, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.