GCD of 996, 580, 976, 732 Calculator

Given Input numbers are 996, 580, 976, 732

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

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

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

GCD of numbers is the greatest common divisor

So, the GCD (996, 580, 976, 732) = 4.

Given numbers are 996, 580, 976, 732

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

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

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 732 are 2 x 2 x 3 x 61

The highest common occurrence is 2²

Therefore, GCD of 996, 580, 976, 732 is 4.

Given numbers are 996, 580, 976, 732

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

Apply this formula for all numbers.

Step1:

LCM(996, 580) = 144420

GCD(996, 580) = ( 996 x 580 ) / 144420

= 996 / 580

= 996

Step2:

LCM(4, 976) = 976

GCD(4, 976) = ( 4 x 976 ) / 976

= 4 / 976

= 4

Step3:

LCM(4, 732) = 732

GCD(4, 732) = ( 4 x 732 ) / 732

= 4 / 732

= 4

So, Greatest Common Divisor of 996, 580, 976, 732 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 997, 909, 176
• GCD of 645, 674, 815, 935
• GCD of 666, 599, 938, 887
• GCD of 457, 851, 462, 594
• GCD of 714, 131, 999, 425

Given numbers are 996, 580, 976, 732
The greatest common divisor of numbers 996, 580, 976, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 580, 976, 732 is 4.

1. What is the GCD of 996, 580, 976, 732?

GCD of given numbers 996, 580, 976, 732 is 4

2. How to calculate the greatest common divisor of 996, 580, 976, 732?

We can find the highest common divisor of 996, 580, 976, 732 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 996, 580, 976, 732 i.e 4.

3. How can I use the GCD of 996, 580, 976, 732Calculator?

Out the numbers 996, 580, 976, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.