GCD of 966, 225, 262 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 966, 225, 262 i.e. 1 largest integer that divides all the numbers equally.

GCD of 966, 225, 262 is 1

GCD(966, 225, 262) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 966, 225, 262 is 1

GCD(966, 225, 262) = 1

GCD of 966,225,262 Calculator

GCDof 966,225,262 is 1

Given Input numbers are 966, 225, 262

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

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

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Greatest Common Divisior

We found the divisors of 966, 225, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 225, 262 is 1.

Therefore, GCD of numbers 966, 225, 262 is 1

Finding GCD of 966, 225, 262 using Prime Factorization

Given Input Data is 966, 225, 262

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 262 is 2 x 131

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

Finding GCD of 966, 225, 262 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(966, 225) = 72450

GCD(966, 225) = ( 966 x 225 ) / 72450

GCD(966, 225) = 217350 / 72450

GCD(966, 225) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 262

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

LCM(3, 262) = 786

GCD(3, 262) = ( 3 x 262 ) / 786

GCD(3, 262) = 786 / 786

GCD(3, 262) = 1

GCD of 966, 225, 262 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 966, 225, 262

1. What is the GCD of 966, 225, 262?

GCD of 966, 225, 262 is 1

2. Where do I get the detailed procedure to find GCD of 966, 225, 262?

You can find a detailed procedure to find GCD of 966, 225, 262 on our page.

3. How to find GCD of 966, 225, 262 on a calculator?

You can find the GCD of 966, 225, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.