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GCD of 242, 387, 828, 240 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, 387, 828, 240 quickly. Get the easiest ways to solve the greatest common divisor of 242, 387, 828, 240 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 242, 387, 828, 240 with Factoring?

Given Input numbers are 242, 387, 828, 240

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 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240


GCD of numbers is the greatest common divisor

So, the GCD (242, 387, 828, 240) = 1.

Find GCD of 242, 387, 828, 240 using Prime Factorization

Given numbers are 242, 387, 828, 240

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 387 are 3 x 3 x 43

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

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

Steps to Calculate GCD of 242, 387, 828, 240 using LCM Formula

Given numbers are 242, 387, 828, 240

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

Apply this formula for all numbers.

Step1:

LCM(242, 387) = 93654

GCD(242, 387) = ( 242 x 387 ) / 93654

= 242 / 387

= 242


Step2:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1


Step3:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1


So, Greatest Common Divisor of 242, 387, 828, 240 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 242, 387, 828, 240

Given numbers are 242, 387, 828, 240
The greatest common divisor of numbers 242, 387, 828, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 387, 828, 240 is 1.

FAQs on GCD of 242, 387, 828, 240 Calculator

1. What is the GCD of 242, 387, 828, 240?

GCD of given numbers 242, 387, 828, 240 is 1


2. How to calculate the greatest common divisor of 242, 387, 828, 240?

We can find the highest common divisor of 242, 387, 828, 240 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, 387, 828, 240 i.e 1.


3. How can I use the GCD of 242, 387, 828, 240Calculator?

Out the numbers 242, 387, 828, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.