GCD of 108, 218, 724, 144 Calculator

Given Input numbers are 108, 218, 724, 144

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

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 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (108, 218, 724, 144) = 2.

Given numbers are 108, 218, 724, 144

The list of prime factors of all numbers are

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

Prime factors of 218 are 2 x 109

Prime factors of 724 are 2 x 2 x 181

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 108, 218, 724, 144 is 2.

Given numbers are 108, 218, 724, 144

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

Apply this formula for all numbers.

Step1:

LCM(108, 218) = 11772

GCD(108, 218) = ( 108 x 218 ) / 11772

= 108 / 218

= 108

Step2:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

Step3:

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

= 2 / 144

= 2

So, Greatest Common Divisor of 108, 218, 724, 144 is 2

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• GCD of 766, 993, 126, 903
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Given numbers are 108, 218, 724, 144
The greatest common divisor of numbers 108, 218, 724, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 218, 724, 144 is 2.

1. What is the GCD of 108, 218, 724, 144?

GCD of given numbers 108, 218, 724, 144 is 2

2. How to calculate the greatest common divisor of 108, 218, 724, 144?

We can find the highest common divisor of 108, 218, 724, 144 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 108, 218, 724, 144 i.e 2.

3. How can I use the GCD of 108, 218, 724, 144Calculator?

Out the numbers 108, 218, 724, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.