GCD of 374, 925, 80, 356 Calculator

Given Input numbers are 374, 925, 80, 356

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

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 374, 925, 80, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 925, 80, 356 is 1.

Therefore, GCD of numbers 374, 925, 80, 356 is 1

Given Input Data is 374, 925, 80, 356

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

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(374, 925) = 345950

GCD(374, 925) = ( 374 x 925 ) / 345950

GCD(374, 925) = 345950 / 345950

GCD(374, 925) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 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 374, 925, 80, 356 is 1

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1. What is the GCD of 374, 925, 80, 356?

GCD of 374, 925, 80, 356 is 1

2. Where do I get the detailed procedure to find GCD of 374, 925, 80, 356?

You can find a detailed procedure to find GCD of 374, 925, 80, 356 on our page.

3. How to find GCD of 374, 925, 80, 356 on a calculator?

You can find the GCD of 374, 925, 80, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.