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GCD of 267, 460, 989, 268 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, 460, 989, 268 quickly. Get the easiest ways to solve the greatest common divisor of 267, 460, 989, 268 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 267, 460, 989, 268 with Factoring?

Given Input numbers are 267, 460, 989, 268

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 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268


GCD of numbers is the greatest common divisor

So, the GCD (267, 460, 989, 268) = 1.

Find GCD of 267, 460, 989, 268 using Prime Factorization

Given numbers are 267, 460, 989, 268

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 989 are 23 x 43

Prime factors of 268 are 2 x 2 x 67

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

Steps to Calculate GCD of 267, 460, 989, 268 using LCM Formula

Given numbers are 267, 460, 989, 268

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

Apply this formula for all numbers.

Step1:

LCM(267, 460) = 122820

GCD(267, 460) = ( 267 x 460 ) / 122820

= 267 / 460

= 267


Step2:

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

= 1 / 989

= 1


Step3:

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

= 1 / 268

= 1


So, Greatest Common Divisor of 267, 460, 989, 268 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 267, 460, 989, 268

Given numbers are 267, 460, 989, 268
The greatest common divisor of numbers 267, 460, 989, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 460, 989, 268 is 1.

FAQs on GCD of 267, 460, 989, 268 Calculator

1. What is the GCD of 267, 460, 989, 268?

GCD of given numbers 267, 460, 989, 268 is 1


2. How to calculate the greatest common divisor of 267, 460, 989, 268?

We can find the highest common divisor of 267, 460, 989, 268 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, 460, 989, 268 i.e 1.


3. How can I use the GCD of 267, 460, 989, 268Calculator?

Out the numbers 267, 460, 989, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.