GCD of 594, 747, 980, 420 Calculator

Given Input numbers are 594, 747, 980, 420

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

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

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 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 594, 747, 980, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 594, 747, 980, 420 is 1.

Therefore, GCD of numbers 594, 747, 980, 420 is 1

Given Input Data is 594, 747, 980, 420

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

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 747 is 3 x 3 x 83

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 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(594, 747) = 49302

GCD(594, 747) = ( 594 x 747 ) / 49302

GCD(594, 747) = 443718 / 49302

GCD(594, 747) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 980

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

LCM(9, 980) = 8820

GCD(9, 980) = ( 9 x 980 ) / 8820

GCD(9, 980) = 8820 / 8820

GCD(9, 980) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 594, 747, 980, 420 is 1

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1. What is the GCD of 594, 747, 980, 420?

GCD of 594, 747, 980, 420 is 1

2. Where do I get the detailed procedure to find GCD of 594, 747, 980, 420?

You can find a detailed procedure to find GCD of 594, 747, 980, 420 on our page.

3. How to find GCD of 594, 747, 980, 420 on a calculator?

You can find the GCD of 594, 747, 980, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.