GCD of 356, 752, 253 Calculator

Given Input numbers are 356, 752, 253

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 356, 752, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 752, 253 is 1.

Therefore, GCD of numbers 356, 752, 253 is 1

Given Input Data is 356, 752, 253

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 253 is 11 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(356, 752) = 66928

GCD(356, 752) = ( 356 x 752 ) / 66928

GCD(356, 752) = 267712 / 66928

GCD(356, 752) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 253

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

LCM(4, 253) = 1012

GCD(4, 253) = ( 4 x 253 ) / 1012

GCD(4, 253) = 1012 / 1012

GCD(4, 253) = 1

GCD of 356, 752, 253 is 1

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1. What is the GCD of 356, 752, 253?

GCD of 356, 752, 253 is 1

2. Where do I get the detailed procedure to find GCD of 356, 752, 253?

You can find a detailed procedure to find GCD of 356, 752, 253 on our page.

3. How to find GCD of 356, 752, 253 on a calculator?

You can find the GCD of 356, 752, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.