GCD of 714, 611, 421, 980 Calculator

Given Input numbers are 714, 611, 421, 980

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 611

List of positive integer divisors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

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 714, 611, 421, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 611, 421, 980 is 1.

Therefore, GCD of numbers 714, 611, 421, 980 is 1

Given Input Data is 714, 611, 421, 980

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 611 is 13 x 47

Prime Factorization of 421 is 421

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(714, 611) = 436254

GCD(714, 611) = ( 714 x 611 ) / 436254

GCD(714, 611) = 436254 / 436254

GCD(714, 611) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 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 714, 611, 421, 980 is 1

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1. What is the GCD of 714, 611, 421, 980?

GCD of 714, 611, 421, 980 is 1

2. Where do I get the detailed procedure to find GCD of 714, 611, 421, 980?

You can find a detailed procedure to find GCD of 714, 611, 421, 980 on our page.

3. How to find GCD of 714, 611, 421, 980 on a calculator?

You can find the GCD of 714, 611, 421, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.