GCD of 980, 502, 146, 988 Calculator

Given Input numbers are 980, 502, 146, 988

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 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 980, 502, 146, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 502, 146, 988 is 2.

Therefore, GCD of numbers 980, 502, 146, 988 is 2

Given Input Data is 980, 502, 146, 988

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 502 is 2 x 251

Prime Factorization of 146 is 2 x 73

Prime Factorization of 988 is 2 x 2 x 13 x 19

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, 502) = 245980

GCD(980, 502) = ( 980 x 502 ) / 245980

GCD(980, 502) = 491960 / 245980

GCD(980, 502) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 146

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

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

GCD(2, 146) = 292 / 146

GCD(2, 146) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 988

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

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

GCD(2, 988) = 1976 / 988

GCD(2, 988) = 2

GCD of 980, 502, 146, 988 is 2

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1. What is the GCD of 980, 502, 146, 988?

GCD of 980, 502, 146, 988 is 2

2. Where do I get the detailed procedure to find GCD of 980, 502, 146, 988?

You can find a detailed procedure to find GCD of 980, 502, 146, 988 on our page.

3. How to find GCD of 980, 502, 146, 988 on a calculator?

You can find the GCD of 980, 502, 146, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.