GCD of 984, 132, 696, 632 Calculator

Given Input numbers are 984, 132, 696, 632

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

GCD of numbers is the greatest common divisor

So, the GCD (984, 132, 696, 632) = 4.

Given numbers are 984, 132, 696, 632

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 632 are 2 x 2 x 2 x 79

The highest common occurrence is 2²

Therefore, GCD of 984, 132, 696, 632 is 4.

Given numbers are 984, 132, 696, 632

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

Apply this formula for all numbers.

Step1:

LCM(984, 132) = 10824

GCD(984, 132) = ( 984 x 132 ) / 10824

= 984 / 132

= 984

Step2:

LCM(12, 696) = 696

GCD(12, 696) = ( 12 x 696 ) / 696

= 12 / 696

= 12

Step3:

LCM(12, 632) = 1896

GCD(12, 632) = ( 12 x 632 ) / 1896

= 12 / 632

= 12

So, Greatest Common Divisor of 984, 132, 696, 632 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 327, 285, 659
• GCD of 891, 285, 944, 611
• GCD of 175, 965, 430, 828
• GCD of 697, 379, 878, 731
• GCD of 112, 961, 809, 928

Given numbers are 984, 132, 696, 632
The greatest common divisor of numbers 984, 132, 696, 632 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 132, 696, 632 is 4.

1. What is the GCD of 984, 132, 696, 632?

GCD of given numbers 984, 132, 696, 632 is 4

2. How to calculate the greatest common divisor of 984, 132, 696, 632?

We can find the highest common divisor of 984, 132, 696, 632 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 984, 132, 696, 632 i.e 4.

3. How can I use the GCD of 984, 132, 696, 632Calculator?

Out the numbers 984, 132, 696, 632 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.