GCD of 251, 125, 149, 356 Calculator

Given Input numbers are 251, 125, 149, 356

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

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 356

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

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 251, 125, 149, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 251, 125, 149, 356 is 1.

Therefore, GCD of numbers 251, 125, 149, 356 is 1

Given Input Data is 251, 125, 149, 356

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

Prime Factorization of 251 is 251

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 149 is 149

Prime Factorization of 356 is 2 x 2 x 89

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(251, 125) = 31375

GCD(251, 125) = ( 251 x 125 ) / 31375

GCD(251, 125) = 31375 / 31375

GCD(251, 125) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 251, 125, 149, 356 is 1

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1. What is the GCD of 251, 125, 149, 356?

GCD of 251, 125, 149, 356 is 1

2. Where do I get the detailed procedure to find GCD of 251, 125, 149, 356?

You can find a detailed procedure to find GCD of 251, 125, 149, 356 on our page.

3. How to find GCD of 251, 125, 149, 356 on a calculator?

You can find the GCD of 251, 125, 149, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.