GCD of 428, 456, 667, 920 Calculator

Given Input numbers are 428, 456, 667, 920

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

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 667 :

The positive integer divisors of 667 that completely divides 667 are.

1, 23, 29, 667

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (428, 456, 667, 920) = 1.

Given numbers are 428, 456, 667, 920

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 667 are 23 x 29

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

Given numbers are 428, 456, 667, 920

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

Apply this formula for all numbers.

Step1:

LCM(428, 456) = 48792

GCD(428, 456) = ( 428 x 456 ) / 48792

= 428 / 456

= 428

Step2:

LCM(4, 667) = 2668

GCD(4, 667) = ( 4 x 667 ) / 2668

= 4 / 667

= 4

Step3:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

So, Greatest Common Divisor of 428, 456, 667, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 314, 635, 116, 564
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• GCD of 771, 819, 904, 836

Given numbers are 428, 456, 667, 920
The greatest common divisor of numbers 428, 456, 667, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 456, 667, 920 is 1.

1. What is the GCD of 428, 456, 667, 920?

GCD of given numbers 428, 456, 667, 920 is 1

2. How to calculate the greatest common divisor of 428, 456, 667, 920?

We can find the highest common divisor of 428, 456, 667, 920 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 428, 456, 667, 920 i.e 1.

3. How can I use the GCD of 428, 456, 667, 920Calculator?

Out the numbers 428, 456, 667, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.