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GCD of 240, 353, 269, 137 Calculator

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


Online GCD Calculator is useful to find the GCD of 240, 353, 269, 137 quickly. Get the easiest ways to solve the greatest common divisor of 240, 353, 269, 137 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 240, 353, 269, 137 with Factoring?

Given Input numbers are 240, 353, 269, 137

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

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

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137


GCD of numbers is the greatest common divisor

So, the GCD (240, 353, 269, 137) = 1.

Find GCD of 240, 353, 269, 137 using Prime Factorization

Given numbers are 240, 353, 269, 137

The list of prime factors of all numbers are

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

Prime factors of 353 are 353

Prime factors of 269 are 269

Prime factors of 137 are 137

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

Steps to Calculate GCD of 240, 353, 269, 137 using LCM Formula

Given numbers are 240, 353, 269, 137

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

Apply this formula for all numbers.

Step1:

LCM(240, 353) = 84720

GCD(240, 353) = ( 240 x 353 ) / 84720

= 240 / 353

= 240


Step2:

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

= 1 / 269

= 1


Step3:

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

= 1 / 137

= 1


So, Greatest Common Divisor of 240, 353, 269, 137 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 240, 353, 269, 137

Given numbers are 240, 353, 269, 137
The greatest common divisor of numbers 240, 353, 269, 137 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 353, 269, 137 is 1.

FAQs on GCD of 240, 353, 269, 137 Calculator

1. What is the GCD of 240, 353, 269, 137?

GCD of given numbers 240, 353, 269, 137 is 1


2. How to calculate the greatest common divisor of 240, 353, 269, 137?

We can find the highest common divisor of 240, 353, 269, 137 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 240, 353, 269, 137 i.e 1.


3. How can I use the GCD of 240, 353, 269, 137Calculator?

Out the numbers 240, 353, 269, 137 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.