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GCD of 242, 724, 902, 143 Calculator

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


Online GCD Calculator is useful to find the GCD of 242, 724, 902, 143 quickly. Get the easiest ways to solve the greatest common divisor of 242, 724, 902, 143 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 242, 724, 902, 143 with Factoring?

Given Input numbers are 242, 724, 902, 143

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

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143


GCD of numbers is the greatest common divisor

So, the GCD (242, 724, 902, 143) = 1.

Find GCD of 242, 724, 902, 143 using Prime Factorization

Given numbers are 242, 724, 902, 143

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 724 are 2 x 2 x 181

Prime factors of 902 are 2 x 11 x 41

Prime factors of 143 are 11 x 13

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

Steps to Calculate GCD of 242, 724, 902, 143 using LCM Formula

Given numbers are 242, 724, 902, 143

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

Apply this formula for all numbers.

Step1:

LCM(242, 724) = 87604

GCD(242, 724) = ( 242 x 724 ) / 87604

= 242 / 724

= 242


Step2:

LCM(2, 902) = 902

GCD(2, 902) = ( 2 x 902 ) / 902

= 2 / 902

= 2


Step3:

LCM(2, 143) = 286

GCD(2, 143) = ( 2 x 143 ) / 286

= 2 / 143

= 2


So, Greatest Common Divisor of 242, 724, 902, 143 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 242, 724, 902, 143

Given numbers are 242, 724, 902, 143
The greatest common divisor of numbers 242, 724, 902, 143 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 724, 902, 143 is 1.

FAQs on GCD of 242, 724, 902, 143 Calculator

1. What is the GCD of 242, 724, 902, 143?

GCD of given numbers 242, 724, 902, 143 is 1


2. How to calculate the greatest common divisor of 242, 724, 902, 143?

We can find the highest common divisor of 242, 724, 902, 143 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 242, 724, 902, 143 i.e 1.


3. How can I use the GCD of 242, 724, 902, 143Calculator?

Out the numbers 242, 724, 902, 143 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.