GCD of 938, 980, 446, 369 Calculator

Given Input numbers are 938, 980, 446, 369

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

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

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 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 938, 980, 446, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 980, 446, 369 is 1.

Therefore, GCD of numbers 938, 980, 446, 369 is 1

Given Input Data is 938, 980, 446, 369

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

Prime Factorization of 938 is 2 x 7 x 67

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 369 is 3 x 3 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(938, 980) = 65660

GCD(938, 980) = ( 938 x 980 ) / 65660

GCD(938, 980) = 919240 / 65660

GCD(938, 980) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 446

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

LCM(14, 446) = 3122

GCD(14, 446) = ( 14 x 446 ) / 3122

GCD(14, 446) = 6244 / 3122

GCD(14, 446) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 369

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

LCM(2, 369) = 738

GCD(2, 369) = ( 2 x 369 ) / 738

GCD(2, 369) = 738 / 738

GCD(2, 369) = 1

GCD of 938, 980, 446, 369 is 1

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1. What is the GCD of 938, 980, 446, 369?

GCD of 938, 980, 446, 369 is 1

2. Where do I get the detailed procedure to find GCD of 938, 980, 446, 369?

You can find a detailed procedure to find GCD of 938, 980, 446, 369 on our page.

3. How to find GCD of 938, 980, 446, 369 on a calculator?

You can find the GCD of 938, 980, 446, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.