GCD of 354, 980, 50, 937 Calculator

Given Input numbers are 354, 980, 50, 937

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

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 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 937

List of positive integer divisors of 937 that divides 937 without a remainder.

1, 937

Greatest Common Divisior

We found the divisors of 354, 980, 50, 937 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 980, 50, 937 is 1.

Therefore, GCD of numbers 354, 980, 50, 937 is 1

Given Input Data is 354, 980, 50, 937

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

Prime Factorization of 354 is 2 x 3 x 59

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 937 is 937

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(354, 980) = 173460

GCD(354, 980) = ( 354 x 980 ) / 173460

GCD(354, 980) = 346920 / 173460

GCD(354, 980) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 937

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

LCM(2, 937) = 1874

GCD(2, 937) = ( 2 x 937 ) / 1874

GCD(2, 937) = 1874 / 1874

GCD(2, 937) = 1

GCD of 354, 980, 50, 937 is 1

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• GCD of 473, 362, 42, 323

1. What is the GCD of 354, 980, 50, 937?

GCD of 354, 980, 50, 937 is 1

2. Where do I get the detailed procedure to find GCD of 354, 980, 50, 937?

You can find a detailed procedure to find GCD of 354, 980, 50, 937 on our page.

3. How to find GCD of 354, 980, 50, 937 on a calculator?

You can find the GCD of 354, 980, 50, 937 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.