GCD of 618, 724, 108 Calculator

Given Input numbers are 618, 724, 108

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

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

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

GCD of numbers is the greatest common divisor

So, the GCD (618, 724, 108) = 2.

Given numbers are 618, 724, 108

The list of prime factors of all numbers are

Prime factors of 618 are 2 x 3 x 103

Prime factors of 724 are 2 x 2 x 181

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

The highest common occurrence is 2¹

Therefore, GCD of 618, 724, 108 is 2.

Given numbers are 618, 724, 108

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

Apply this formula for all numbers.

Step1:

LCM(618, 724) = 223716

GCD(618, 724) = ( 618 x 724 ) / 223716

= 618 / 724

= 618

Step2:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 618, 724, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 112, 320
• GCD of 105, 611, 156
• GCD of 213, 155, 888
• GCD of 627, 571, 554
• GCD of 881, 558, 608

Given numbers are 618, 724, 108
The greatest common divisor of numbers 618, 724, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 618, 724, 108 is 2.

1. What is the GCD of 618, 724, 108?

GCD of given numbers 618, 724, 108 is 2

2. How to calculate the greatest common divisor of 618, 724, 108?

We can find the highest common divisor of 618, 724, 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 618, 724, 108 i.e 2.

3. How can I use the GCD of 618, 724, 108Calculator?

Out the numbers 618, 724, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.