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GCD of 734, 344, 265, 131 Calculator

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


Online GCD Calculator is useful to find the GCD of 734, 344, 265, 131 quickly. Get the easiest ways to solve the greatest common divisor of 734, 344, 265, 131 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 734, 344, 265, 131 with Factoring?

Given Input numbers are 734, 344, 265, 131

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 265 :

The positive integer divisors of 265 that completely divides 265 are.

1, 5, 53, 265

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131


GCD of numbers is the greatest common divisor

So, the GCD (734, 344, 265, 131) = 1.

Find GCD of 734, 344, 265, 131 using Prime Factorization

Given numbers are 734, 344, 265, 131

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 265 are 5 x 53

Prime factors of 131 are 131

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

Steps to Calculate GCD of 734, 344, 265, 131 using LCM Formula

Given numbers are 734, 344, 265, 131

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

Apply this formula for all numbers.

Step1:

LCM(734, 344) = 126248

GCD(734, 344) = ( 734 x 344 ) / 126248

= 734 / 344

= 734


Step2:

LCM(2, 265) = 530

GCD(2, 265) = ( 2 x 265 ) / 530

= 2 / 265

= 2


Step3:

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

= 1 / 131

= 1


So, Greatest Common Divisor of 734, 344, 265, 131 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 734, 344, 265, 131

Given numbers are 734, 344, 265, 131
The greatest common divisor of numbers 734, 344, 265, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 344, 265, 131 is 1.

FAQs on GCD of 734, 344, 265, 131 Calculator

1. What is the GCD of 734, 344, 265, 131?

GCD of given numbers 734, 344, 265, 131 is 1


2. How to calculate the greatest common divisor of 734, 344, 265, 131?

We can find the highest common divisor of 734, 344, 265, 131 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 734, 344, 265, 131 i.e 1.


3. How can I use the GCD of 734, 344, 265, 131Calculator?

Out the numbers 734, 344, 265, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.