GCD of 724, 532, 736, 108 Calculator

Given Input numbers are 724, 532, 736, 108

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (724, 532, 736, 108) = 4.

Given numbers are 724, 532, 736, 108

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2²

Therefore, GCD of 724, 532, 736, 108 is 4.

Given numbers are 724, 532, 736, 108

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

Apply this formula for all numbers.

Step1:

LCM(724, 532) = 96292

GCD(724, 532) = ( 724 x 532 ) / 96292

= 724 / 532

= 724

Step2:

LCM(4, 736) = 736

GCD(4, 736) = ( 4 x 736 ) / 736

= 4 / 736

= 4

Step3:

LCM(4, 108) = 108

GCD(4, 108) = ( 4 x 108 ) / 108

= 4 / 108

= 4

So, Greatest Common Divisor of 724, 532, 736, 108 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 853, 939, 283, 423
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• GCD of 580, 433, 309, 970

Given numbers are 724, 532, 736, 108
The greatest common divisor of numbers 724, 532, 736, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 532, 736, 108 is 4.

1. What is the GCD of 724, 532, 736, 108?

GCD of given numbers 724, 532, 736, 108 is 4

2. How to calculate the greatest common divisor of 724, 532, 736, 108?

We can find the highest common divisor of 724, 532, 736, 108 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 724, 532, 736, 108 i.e 4.

3. How can I use the GCD of 724, 532, 736, 108Calculator?

Out the numbers 724, 532, 736, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.