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GCD of 267, 749, 117, 587 Calculator

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


Online GCD Calculator is useful to find the GCD of 267, 749, 117, 587 quickly. Get the easiest ways to solve the greatest common divisor of 267, 749, 117, 587 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 267, 749, 117, 587 with Factoring?

Given Input numbers are 267, 749, 117, 587

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

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 587 :

The positive integer divisors of 587 that completely divides 587 are.

1, 587


GCD of numbers is the greatest common divisor

So, the GCD (267, 749, 117, 587) = 1.

Find GCD of 267, 749, 117, 587 using Prime Factorization

Given numbers are 267, 749, 117, 587

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 749 are 7 x 107

Prime factors of 117 are 3 x 3 x 13

Prime factors of 587 are 587

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

Steps to Calculate GCD of 267, 749, 117, 587 using LCM Formula

Given numbers are 267, 749, 117, 587

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

Apply this formula for all numbers.

Step1:

LCM(267, 749) = 199983

GCD(267, 749) = ( 267 x 749 ) / 199983

= 267 / 749

= 267


Step2:

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

= 1 / 117

= 1


Step3:

LCM(1, 587) = 587

GCD(1, 587) = ( 1 x 587 ) / 587

= 1 / 587

= 1


So, Greatest Common Divisor of 267, 749, 117, 587 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 267, 749, 117, 587

Given numbers are 267, 749, 117, 587
The greatest common divisor of numbers 267, 749, 117, 587 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 749, 117, 587 is 1.

FAQs on GCD of 267, 749, 117, 587 Calculator

1. What is the GCD of 267, 749, 117, 587?

GCD of given numbers 267, 749, 117, 587 is 1


2. How to calculate the greatest common divisor of 267, 749, 117, 587?

We can find the highest common divisor of 267, 749, 117, 587 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 267, 749, 117, 587 i.e 1.


3. How can I use the GCD of 267, 749, 117, 587Calculator?

Out the numbers 267, 749, 117, 587 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.