GCD of 940, 864, 49 Calculator

Given Input numbers are 940, 864, 49

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 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Greatest Common Divisior

We found the divisors of 940, 864, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 864, 49 is 1.

Therefore, GCD of numbers 940, 864, 49 is 1

Given Input Data is 940, 864, 49

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 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 49 is 7 x 7

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, 864) = 203040

GCD(940, 864) = ( 940 x 864 ) / 203040

GCD(940, 864) = 812160 / 203040

GCD(940, 864) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 49

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

LCM(4, 49) = 196

GCD(4, 49) = ( 4 x 49 ) / 196

GCD(4, 49) = 196 / 196

GCD(4, 49) = 1

GCD of 940, 864, 49 is 1

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1. What is the GCD of 940, 864, 49?

GCD of 940, 864, 49 is 1

2. Where do I get the detailed procedure to find GCD of 940, 864, 49?

You can find a detailed procedure to find GCD of 940, 864, 49 on our page.

3. How to find GCD of 940, 864, 49 on a calculator?

You can find the GCD of 940, 864, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.