GCD of 126, 713, 386, 980 Calculator

Given Input numbers are 126, 713, 386, 980

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

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

Greatest Common Divisior

We found the divisors of 126, 713, 386, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 713, 386, 980 is 1.

Therefore, GCD of numbers 126, 713, 386, 980 is 1

Given Input Data is 126, 713, 386, 980

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 713 is 23 x 31

Prime Factorization of 386 is 2 x 193

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

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(126, 713) = 89838

GCD(126, 713) = ( 126 x 713 ) / 89838

GCD(126, 713) = 89838 / 89838

GCD(126, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 386

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

LCM(1, 386) = 386

GCD(1, 386) = ( 1 x 386 ) / 386

GCD(1, 386) = 386 / 386

GCD(1, 386) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

GCD of 126, 713, 386, 980 is 1

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1. What is the GCD of 126, 713, 386, 980?

GCD of 126, 713, 386, 980 is 1

2. Where do I get the detailed procedure to find GCD of 126, 713, 386, 980?

You can find a detailed procedure to find GCD of 126, 713, 386, 980 on our page.

3. How to find GCD of 126, 713, 386, 980 on a calculator?

You can find the GCD of 126, 713, 386, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.