GCD of 524, 472, 90, 928 Calculator

Given Input numbers are 524, 472, 90, 928

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

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 472 :

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

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

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

GCD of numbers is the greatest common divisor

So, the GCD (524, 472, 90, 928) = 2.

Given numbers are 524, 472, 90, 928

The list of prime factors of all numbers are

Prime factors of 524 are 2 x 2 x 131

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

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 524, 472, 90, 928 is 2.

Given numbers are 524, 472, 90, 928

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

Apply this formula for all numbers.

Step1:

LCM(524, 472) = 61832

GCD(524, 472) = ( 524 x 472 ) / 61832

= 524 / 472

= 524

Step2:

LCM(4, 90) = 180

GCD(4, 90) = ( 4 x 90 ) / 180

= 4 / 90

= 4

Step3:

LCM(2, 928) = 928

GCD(2, 928) = ( 2 x 928 ) / 928

= 2 / 928

= 2

So, Greatest Common Divisor of 524, 472, 90, 928 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 457, 897, 76, 952
• GCD of 522, 772, 96, 737
• GCD of 496, 391, 67, 919
• GCD of 454, 254, 10, 835
• GCD of 140, 640, 79, 585

Given numbers are 524, 472, 90, 928
The greatest common divisor of numbers 524, 472, 90, 928 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 524, 472, 90, 928 is 2.

1. What is the GCD of 524, 472, 90, 928?

GCD of given numbers 524, 472, 90, 928 is 2

2. How to calculate the greatest common divisor of 524, 472, 90, 928?

We can find the highest common divisor of 524, 472, 90, 928 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 524, 472, 90, 928 i.e 2.

3. How can I use the GCD of 524, 472, 90, 928Calculator?

Out the numbers 524, 472, 90, 928 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.