GCD of 140, 979, 66, 588 Calculator

Given Input numbers are 140, 979, 66, 588

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

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 140, 979, 66, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 979, 66, 588 is 1.

Therefore, GCD of numbers 140, 979, 66, 588 is 1

Given Input Data is 140, 979, 66, 588

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

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 979 is 11 x 89

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 588 is 2 x 2 x 3 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(140, 979) = 137060

GCD(140, 979) = ( 140 x 979 ) / 137060

GCD(140, 979) = 137060 / 137060

GCD(140, 979) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 140, 979, 66, 588 is 1

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1. What is the GCD of 140, 979, 66, 588?

GCD of 140, 979, 66, 588 is 1

2. Where do I get the detailed procedure to find GCD of 140, 979, 66, 588?

You can find a detailed procedure to find GCD of 140, 979, 66, 588 on our page.

3. How to find GCD of 140, 979, 66, 588 on a calculator?

You can find the GCD of 140, 979, 66, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.