GCD of 980, 596, 668, 150 Calculator

Given Input numbers are 980, 596, 668, 150

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

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 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Greatest Common Divisior

We found the divisors of 980, 596, 668, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 596, 668, 150 is 2.

Therefore, GCD of numbers 980, 596, 668, 150 is 2

Given Input Data is 980, 596, 668, 150

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

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

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 150 is 2 x 3 x 5 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(980, 596) = 146020

GCD(980, 596) = ( 980 x 596 ) / 146020

GCD(980, 596) = 584080 / 146020

GCD(980, 596) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 668

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

LCM(4, 668) = 668

GCD(4, 668) = ( 4 x 668 ) / 668

GCD(4, 668) = 2672 / 668

GCD(4, 668) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 150

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

LCM(4, 150) = 300

GCD(4, 150) = ( 4 x 150 ) / 300

GCD(4, 150) = 600 / 300

GCD(4, 150) = 2

GCD of 980, 596, 668, 150 is 2

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1. What is the GCD of 980, 596, 668, 150?

GCD of 980, 596, 668, 150 is 2

2. Where do I get the detailed procedure to find GCD of 980, 596, 668, 150?

You can find a detailed procedure to find GCD of 980, 596, 668, 150 on our page.

3. How to find GCD of 980, 596, 668, 150 on a calculator?

You can find the GCD of 980, 596, 668, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.