GCD of 643, 339, 980, 761 Calculator

Given Input numbers are 643, 339, 980, 761

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

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

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 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Greatest Common Divisior

We found the divisors of 643, 339, 980, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 339, 980, 761 is 1.

Therefore, GCD of numbers 643, 339, 980, 761 is 1

Given Input Data is 643, 339, 980, 761

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

Prime Factorization of 643 is 643

Prime Factorization of 339 is 3 x 113

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

Prime Factorization of 761 is 761

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(643, 339) = 217977

GCD(643, 339) = ( 643 x 339 ) / 217977

GCD(643, 339) = 217977 / 217977

GCD(643, 339) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 761

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

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

GCD(1, 761) = 761 / 761

GCD(1, 761) = 1

GCD of 643, 339, 980, 761 is 1

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1. What is the GCD of 643, 339, 980, 761?

GCD of 643, 339, 980, 761 is 1

2. Where do I get the detailed procedure to find GCD of 643, 339, 980, 761?

You can find a detailed procedure to find GCD of 643, 339, 980, 761 on our page.

3. How to find GCD of 643, 339, 980, 761 on a calculator?

You can find the GCD of 643, 339, 980, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.