GCD of 49, 635, 940, 992 Calculator

Given Input numbers are 49, 635, 940, 992

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

Divisors of 49

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

1, 7, 49

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

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 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 49, 635, 940, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 635, 940, 992 is 1.

Therefore, GCD of numbers 49, 635, 940, 992 is 1

Given Input Data is 49, 635, 940, 992

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 635 is 5 x 127

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(49, 635) = 31115

GCD(49, 635) = ( 49 x 635 ) / 31115

GCD(49, 635) = 31115 / 31115

GCD(49, 635) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 49, 635, 940, 992 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 921, 586, 680
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• GCD of 21, 703, 216, 474

1. What is the GCD of 49, 635, 940, 992?

GCD of 49, 635, 940, 992 is 1

2. Where do I get the detailed procedure to find GCD of 49, 635, 940, 992?

You can find a detailed procedure to find GCD of 49, 635, 940, 992 on our page.

3. How to find GCD of 49, 635, 940, 992 on a calculator?

You can find the GCD of 49, 635, 940, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.