GCD of 194, 938, 660, 131 Calculator

Given Input numbers are 194, 938, 660, 131

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

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

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 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 194, 938, 660, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 194, 938, 660, 131 is 1.

Therefore, GCD of numbers 194, 938, 660, 131 is 1

Given Input Data is 194, 938, 660, 131

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

Prime Factorization of 194 is 2 x 97

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 131 is 131

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(194, 938) = 90986

GCD(194, 938) = ( 194 x 938 ) / 90986

GCD(194, 938) = 181972 / 90986

GCD(194, 938) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 660

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

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

GCD(2, 660) = 1320 / 660

GCD(2, 660) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 131

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

LCM(2, 131) = 262

GCD(2, 131) = ( 2 x 131 ) / 262

GCD(2, 131) = 262 / 262

GCD(2, 131) = 1

GCD of 194, 938, 660, 131 is 1

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1. What is the GCD of 194, 938, 660, 131?

GCD of 194, 938, 660, 131 is 1

2. Where do I get the detailed procedure to find GCD of 194, 938, 660, 131?

You can find a detailed procedure to find GCD of 194, 938, 660, 131 on our page.

3. How to find GCD of 194, 938, 660, 131 on a calculator?

You can find the GCD of 194, 938, 660, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.