GCD of 940, 835, 980, 512 Calculator

Given Input numbers are 940, 835, 980, 512

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 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

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 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 940, 835, 980, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 835, 980, 512 is 1.

Therefore, GCD of numbers 940, 835, 980, 512 is 1

Given Input Data is 940, 835, 980, 512

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 835 is 5 x 167

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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(940, 835) = 156980

GCD(940, 835) = ( 940 x 835 ) / 156980

GCD(940, 835) = 784900 / 156980

GCD(940, 835) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 980

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

LCM(5, 980) = 980

GCD(5, 980) = ( 5 x 980 ) / 980

GCD(5, 980) = 4900 / 980

GCD(5, 980) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 512

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

LCM(5, 512) = 2560

GCD(5, 512) = ( 5 x 512 ) / 2560

GCD(5, 512) = 2560 / 2560

GCD(5, 512) = 1

GCD of 940, 835, 980, 512 is 1

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1. What is the GCD of 940, 835, 980, 512?

GCD of 940, 835, 980, 512 is 1

2. Where do I get the detailed procedure to find GCD of 940, 835, 980, 512?

You can find a detailed procedure to find GCD of 940, 835, 980, 512 on our page.

3. How to find GCD of 940, 835, 980, 512 on a calculator?

You can find the GCD of 940, 835, 980, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.