GCD of 112, 992, 935, 757 Calculator

Given Input numbers are 112, 992, 935, 757

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

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

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 112, 992, 935, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 992, 935, 757 is 1.

Therefore, GCD of numbers 112, 992, 935, 757 is 1

Given Input Data is 112, 992, 935, 757

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 757 is 757

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(112, 992) = 6944

GCD(112, 992) = ( 112 x 992 ) / 6944

GCD(112, 992) = 111104 / 6944

GCD(112, 992) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 935

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

LCM(16, 935) = 14960

GCD(16, 935) = ( 16 x 935 ) / 14960

GCD(16, 935) = 14960 / 14960

GCD(16, 935) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 757

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

LCM(1, 757) = 757

GCD(1, 757) = ( 1 x 757 ) / 757

GCD(1, 757) = 757 / 757

GCD(1, 757) = 1

GCD of 112, 992, 935, 757 is 1

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1. What is the GCD of 112, 992, 935, 757?

GCD of 112, 992, 935, 757 is 1

2. Where do I get the detailed procedure to find GCD of 112, 992, 935, 757?

You can find a detailed procedure to find GCD of 112, 992, 935, 757 on our page.

3. How to find GCD of 112, 992, 935, 757 on a calculator?

You can find the GCD of 112, 992, 935, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.