GCD of 988, 456, 324, 580 Calculator

Given Input numbers are 988, 456, 324, 580

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

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

GCD of numbers is the greatest common divisor

So, the GCD (988, 456, 324, 580) = 4.

Given numbers are 988, 456, 324, 580

The list of prime factors of all numbers are

Prime factors of 988 are 2 x 2 x 13 x 19

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

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 580 are 2 x 2 x 5 x 29

The highest common occurrence is 2²

Therefore, GCD of 988, 456, 324, 580 is 4.

Given numbers are 988, 456, 324, 580

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

Apply this formula for all numbers.

Step1:

LCM(988, 456) = 5928

GCD(988, 456) = ( 988 x 456 ) / 5928

= 988 / 456

= 988

Step2:

LCM(76, 324) = 6156

GCD(76, 324) = ( 76 x 324 ) / 6156

= 76 / 324

= 76

Step3:

LCM(4, 580) = 580

GCD(4, 580) = ( 4 x 580 ) / 580

= 4 / 580

= 4

So, Greatest Common Divisor of 988, 456, 324, 580 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 738, 974, 514
• GCD of 517, 798, 490, 693
• GCD of 172, 950, 404, 634
• GCD of 834, 137, 124, 108
• GCD of 958, 729, 547, 801

Given numbers are 988, 456, 324, 580
The greatest common divisor of numbers 988, 456, 324, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 456, 324, 580 is 4.

1. What is the GCD of 988, 456, 324, 580?

GCD of given numbers 988, 456, 324, 580 is 4

2. How to calculate the greatest common divisor of 988, 456, 324, 580?

We can find the highest common divisor of 988, 456, 324, 580 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 988, 456, 324, 580 i.e 4.

3. How can I use the GCD of 988, 456, 324, 580Calculator?

Out the numbers 988, 456, 324, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.