GCD of 724, 108, 106 Calculator

Given Input numbers are 724, 108, 106

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 108 :

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

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

GCD of numbers is the greatest common divisor

So, the GCD (724, 108, 106) = 2.

Given numbers are 724, 108, 106

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

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

Prime factors of 106 are 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 724, 108, 106 is 2.

Given numbers are 724, 108, 106

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

Apply this formula for all numbers.

Step1:

LCM(724, 108) = 19548

GCD(724, 108) = ( 724 x 108 ) / 19548

= 724 / 108

= 724

Step2:

LCM(4, 106) = 212

GCD(4, 106) = ( 4 x 106 ) / 212

= 4 / 106

= 4

So, Greatest Common Divisor of 724, 108, 106 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 179, 992, 897
• GCD of 539, 796, 518
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• GCD of 605, 540, 539
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Given numbers are 724, 108, 106
The greatest common divisor of numbers 724, 108, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 108, 106 is 2.

1. What is the GCD of 724, 108, 106?

GCD of given numbers 724, 108, 106 is 2

2. How to calculate the greatest common divisor of 724, 108, 106?

We can find the highest common divisor of 724, 108, 106 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, 108, 106 i.e 2.

3. How can I use the GCD of 724, 108, 106Calculator?

Out the numbers 724, 108, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.