GCD of 919, 980, 342, 574 Calculator

Given Input numbers are 919, 980, 342, 574

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

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 574

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

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

Greatest Common Divisior

We found the divisors of 919, 980, 342, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 919, 980, 342, 574 is 1.

Therefore, GCD of numbers 919, 980, 342, 574 is 1

Given Input Data is 919, 980, 342, 574

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

Prime Factorization of 919 is 919

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 574 is 2 x 7 x 41

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(919, 980) = 900620

GCD(919, 980) = ( 919 x 980 ) / 900620

GCD(919, 980) = 900620 / 900620

GCD(919, 980) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

GCD of 919, 980, 342, 574 is 1

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1. What is the GCD of 919, 980, 342, 574?

GCD of 919, 980, 342, 574 is 1

2. Where do I get the detailed procedure to find GCD of 919, 980, 342, 574?

You can find a detailed procedure to find GCD of 919, 980, 342, 574 on our page.

3. How to find GCD of 919, 980, 342, 574 on a calculator?

You can find the GCD of 919, 980, 342, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.