GCD of 276, 225, 952, 357 Calculator

Given Input numbers are 276, 225, 952, 357

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 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 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 276, 225, 952, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 225, 952, 357 is 1.

Therefore, GCD of numbers 276, 225, 952, 357 is 1

Given Input Data is 276, 225, 952, 357

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 225 is 3 x 3 x 5 x 5

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 357 is 3 x 7 x 17

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, 225) = 20700

GCD(276, 225) = ( 276 x 225 ) / 20700

GCD(276, 225) = 62100 / 20700

GCD(276, 225) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 952

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

LCM(3, 952) = 2856

GCD(3, 952) = ( 3 x 952 ) / 2856

GCD(3, 952) = 2856 / 2856

GCD(3, 952) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1

GCD of 276, 225, 952, 357 is 1

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1. What is the GCD of 276, 225, 952, 357?

GCD of 276, 225, 952, 357 is 1

2. Where do I get the detailed procedure to find GCD of 276, 225, 952, 357?

You can find a detailed procedure to find GCD of 276, 225, 952, 357 on our page.

3. How to find GCD of 276, 225, 952, 357 on a calculator?

You can find the GCD of 276, 225, 952, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.