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GCD of 267, 288, 25, 624 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, 288, 25, 624 quickly. Get the easiest ways to solve the greatest common divisor of 267, 288, 25, 624 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 267, 288, 25, 624 with Factoring?

Given Input numbers are 267, 288, 25, 624

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 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 25 :

The positive integer divisors of 25 that completely divides 25 are.

1, 5, 25

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624


GCD of numbers is the greatest common divisor

So, the GCD (267, 288, 25, 624) = 1.

Find GCD of 267, 288, 25, 624 using Prime Factorization

Given numbers are 267, 288, 25, 624

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 25 are 5 x 5

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

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

Steps to Calculate GCD of 267, 288, 25, 624 using LCM Formula

Given numbers are 267, 288, 25, 624

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

Apply this formula for all numbers.

Step1:

LCM(267, 288) = 25632

GCD(267, 288) = ( 267 x 288 ) / 25632

= 267 / 288

= 267


Step2:

LCM(3, 25) = 75

GCD(3, 25) = ( 3 x 25 ) / 75

= 3 / 25

= 3


Step3:

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

= 1 / 624

= 1


So, Greatest Common Divisor of 267, 288, 25, 624 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 267, 288, 25, 624

Given numbers are 267, 288, 25, 624
The greatest common divisor of numbers 267, 288, 25, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 288, 25, 624 is 1.

FAQs on GCD of 267, 288, 25, 624 Calculator

1. What is the GCD of 267, 288, 25, 624?

GCD of given numbers 267, 288, 25, 624 is 1


2. How to calculate the greatest common divisor of 267, 288, 25, 624?

We can find the highest common divisor of 267, 288, 25, 624 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, 288, 25, 624 i.e 1.


3. How can I use the GCD of 267, 288, 25, 624Calculator?

Out the numbers 267, 288, 25, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.