GCD of 920, 428, 564, 472 Calculator

Given Input numbers are 920, 428, 564, 472

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

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

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

GCD of numbers is the greatest common divisor

So, the GCD (920, 428, 564, 472) = 4.

Given numbers are 920, 428, 564, 472

The list of prime factors of all numbers are

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

Prime factors of 428 are 2 x 2 x 107

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 472 are 2 x 2 x 2 x 59

The highest common occurrence is 2²

Therefore, GCD of 920, 428, 564, 472 is 4.

Given numbers are 920, 428, 564, 472

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

Apply this formula for all numbers.

Step1:

LCM(920, 428) = 98440

GCD(920, 428) = ( 920 x 428 ) / 98440

= 920 / 428

= 920

Step2:

LCM(4, 564) = 564

GCD(4, 564) = ( 4 x 564 ) / 564

= 4 / 564

= 4

Step3:

LCM(4, 472) = 472

GCD(4, 472) = ( 4 x 472 ) / 472

= 4 / 472

= 4

So, Greatest Common Divisor of 920, 428, 564, 472 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 422, 122, 572
• GCD of 524, 834, 813, 939
• GCD of 950, 354, 146, 420
• GCD of 367, 403, 141, 535
• GCD of 890, 167, 907, 520

Given numbers are 920, 428, 564, 472
The greatest common divisor of numbers 920, 428, 564, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 428, 564, 472 is 4.

1. What is the GCD of 920, 428, 564, 472?

GCD of given numbers 920, 428, 564, 472 is 4

2. How to calculate the greatest common divisor of 920, 428, 564, 472?

We can find the highest common divisor of 920, 428, 564, 472 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 920, 428, 564, 472 i.e 4.

3. How can I use the GCD of 920, 428, 564, 472Calculator?

Out the numbers 920, 428, 564, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.