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GCD of 267, 966, 153 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, 966, 153 quickly. Get the easiest ways to solve the greatest common divisor of 267, 966, 153 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 267, 966, 153 with Factoring?

Given Input numbers are 267, 966, 153

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 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153


GCD of numbers is the greatest common divisor

So, the GCD (267, 966, 153) = 3.

Find GCD of 267, 966, 153 using Prime Factorization

Given numbers are 267, 966, 153

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 153 are 3 x 3 x 17

The highest common occurrence is 31

Therefore, GCD of 267, 966, 153 is 3.

Steps to Calculate GCD of 267, 966, 153 using LCM Formula

Given numbers are 267, 966, 153

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

Apply this formula for all numbers.

Step1:

LCM(267, 966) = 85974

GCD(267, 966) = ( 267 x 966 ) / 85974

= 267 / 966

= 267


Step2:

LCM(3, 153) = 153

GCD(3, 153) = ( 3 x 153 ) / 153

= 3 / 153

= 3


So, Greatest Common Divisor of 267, 966, 153 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 267, 966, 153

Given numbers are 267, 966, 153
The greatest common divisor of numbers 267, 966, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 966, 153 is 3.

FAQs on GCD of 267, 966, 153 Calculator

1. What is the GCD of 267, 966, 153?

GCD of given numbers 267, 966, 153 is 3


2. How to calculate the greatest common divisor of 267, 966, 153?

We can find the highest common divisor of 267, 966, 153 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, 966, 153 i.e 3.


3. How can I use the GCD of 267, 966, 153Calculator?

Out the numbers 267, 966, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.