GCD of 940, 980, 42, 508 Calculator

Given Input numbers are 940, 980, 42, 508

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 940, 980, 42, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 980, 42, 508 is 2.

Therefore, GCD of numbers 940, 980, 42, 508 is 2

Given Input Data is 940, 980, 42, 508

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 508 is 2 x 2 x 127

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(940, 980) = 46060

GCD(940, 980) = ( 940 x 980 ) / 46060

GCD(940, 980) = 921200 / 46060

GCD(940, 980) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 42

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

LCM(20, 42) = 420

GCD(20, 42) = ( 20 x 42 ) / 420

GCD(20, 42) = 840 / 420

GCD(20, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 508

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

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

GCD(2, 508) = 1016 / 508

GCD(2, 508) = 2

GCD of 940, 980, 42, 508 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 672, 767, 96, 571
• GCD of 727, 940, 70, 886
• GCD of 233, 398, 26, 541
• GCD of 795, 458, 81, 405
• GCD of 346, 882, 63, 925

1. What is the GCD of 940, 980, 42, 508?

GCD of 940, 980, 42, 508 is 2

2. Where do I get the detailed procedure to find GCD of 940, 980, 42, 508?

You can find a detailed procedure to find GCD of 940, 980, 42, 508 on our page.

3. How to find GCD of 940, 980, 42, 508 on a calculator?

You can find the GCD of 940, 980, 42, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.