GCD of 940, 772, 32, 940 Calculator

Given Input numbers are 940, 772, 32, 940

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 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

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

Greatest Common Divisior

We found the divisors of 940, 772, 32, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 772, 32, 940 is 4.

Therefore, GCD of numbers 940, 772, 32, 940 is 4

Given Input Data is 940, 772, 32, 940

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 772 is 2 x 2 x 193

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 772) = 181420

GCD(940, 772) = ( 940 x 772 ) / 181420

GCD(940, 772) = 725680 / 181420

GCD(940, 772) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 32

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

LCM(4, 32) = 32

GCD(4, 32) = ( 4 x 32 ) / 32

GCD(4, 32) = 128 / 32

GCD(4, 32) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 940

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

LCM(4, 940) = 940

GCD(4, 940) = ( 4 x 940 ) / 940

GCD(4, 940) = 3760 / 940

GCD(4, 940) = 4

GCD of 940, 772, 32, 940 is 4

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1. What is the GCD of 940, 772, 32, 940?

GCD of 940, 772, 32, 940 is 4

2. Where do I get the detailed procedure to find GCD of 940, 772, 32, 940?

You can find a detailed procedure to find GCD of 940, 772, 32, 940 on our page.

3. How to find GCD of 940, 772, 32, 940 on a calculator?

You can find the GCD of 940, 772, 32, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.