GCD of 374, 574, 759, 880 Calculator

Given Input numbers are 374, 574, 759, 880

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 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Greatest Common Divisior

We found the divisors of 374, 574, 759, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 574, 759, 880 is 1.

Therefore, GCD of numbers 374, 574, 759, 880 is 1

Given Input Data is 374, 574, 759, 880

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 574 is 2 x 7 x 41

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

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, 574) = 107338

GCD(374, 574) = ( 374 x 574 ) / 107338

GCD(374, 574) = 214676 / 107338

GCD(374, 574) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 759

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

LCM(2, 759) = 1518

GCD(2, 759) = ( 2 x 759 ) / 1518

GCD(2, 759) = 1518 / 1518

GCD(2, 759) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 880

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

LCM(1, 880) = 880

GCD(1, 880) = ( 1 x 880 ) / 880

GCD(1, 880) = 880 / 880

GCD(1, 880) = 1

GCD of 374, 574, 759, 880 is 1

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1. What is the GCD of 374, 574, 759, 880?

GCD of 374, 574, 759, 880 is 1

2. Where do I get the detailed procedure to find GCD of 374, 574, 759, 880?

You can find a detailed procedure to find GCD of 374, 574, 759, 880 on our page.

3. How to find GCD of 374, 574, 759, 880 on a calculator?

You can find the GCD of 374, 574, 759, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.