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GCD of 724, 208, 120, 639 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 724, 208, 120, 639 quickly. Get the easiest ways to solve the greatest common divisor of 724, 208, 120, 639 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 724, 208, 120, 639 with Factoring?

Given Input numbers are 724, 208, 120, 639

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 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 639 :

The positive integer divisors of 639 that completely divides 639 are.

1, 3, 9, 71, 213, 639


GCD of numbers is the greatest common divisor

So, the GCD (724, 208, 120, 639) = 1.

Find GCD of 724, 208, 120, 639 using Prime Factorization

Given numbers are 724, 208, 120, 639

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 639 are 3 x 3 x 71

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 724, 208, 120, 639 using LCM Formula

Given numbers are 724, 208, 120, 639

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

Apply this formula for all numbers.

Step1:

LCM(724, 208) = 37648

GCD(724, 208) = ( 724 x 208 ) / 37648

= 724 / 208

= 724


Step2:

LCM(4, 120) = 120

GCD(4, 120) = ( 4 x 120 ) / 120

= 4 / 120

= 4


Step3:

LCM(4, 639) = 2556

GCD(4, 639) = ( 4 x 639 ) / 2556

= 4 / 639

= 4


So, Greatest Common Divisor of 724, 208, 120, 639 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 724, 208, 120, 639

Given numbers are 724, 208, 120, 639
The greatest common divisor of numbers 724, 208, 120, 639 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 208, 120, 639 is 1.

FAQs on GCD of 724, 208, 120, 639 Calculator

1. What is the GCD of 724, 208, 120, 639?

GCD of given numbers 724, 208, 120, 639 is 1


2. How to calculate the greatest common divisor of 724, 208, 120, 639?

We can find the highest common divisor of 724, 208, 120, 639 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, 208, 120, 639 i.e 1.


3. How can I use the GCD of 724, 208, 120, 639Calculator?

Out the numbers 724, 208, 120, 639 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.