GCD of 276, 967, 225, 138 Calculator

Given Input numbers are 276, 967, 225, 138

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

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

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 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 276, 967, 225, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 967, 225, 138 is 1.

Therefore, GCD of numbers 276, 967, 225, 138 is 1

Given Input Data is 276, 967, 225, 138

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 967 is 967

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

Prime Factorization of 138 is 2 x 3 x 23

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

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(276, 967) = 266892

GCD(276, 967) = ( 276 x 967 ) / 266892

GCD(276, 967) = 266892 / 266892

GCD(276, 967) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 276, 967, 225, 138 is 1

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1. What is the GCD of 276, 967, 225, 138?

GCD of 276, 967, 225, 138 is 1

2. Where do I get the detailed procedure to find GCD of 276, 967, 225, 138?

You can find a detailed procedure to find GCD of 276, 967, 225, 138 on our page.

3. How to find GCD of 276, 967, 225, 138 on a calculator?

You can find the GCD of 276, 967, 225, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.