GCD of 112, 701, 36, 140 Calculator

Given Input numbers are 112, 701, 36, 140

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 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 112, 701, 36, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 701, 36, 140 is 1.

Therefore, GCD of numbers 112, 701, 36, 140 is 1

Given Input Data is 112, 701, 36, 140

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 701 is 701

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 140 is 2 x 2 x 5 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(112, 701) = 78512

GCD(112, 701) = ( 112 x 701 ) / 78512

GCD(112, 701) = 78512 / 78512

GCD(112, 701) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

GCD of 112, 701, 36, 140 is 1

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1. What is the GCD of 112, 701, 36, 140?

GCD of 112, 701, 36, 140 is 1

2. Where do I get the detailed procedure to find GCD of 112, 701, 36, 140?

You can find a detailed procedure to find GCD of 112, 701, 36, 140 on our page.

3. How to find GCD of 112, 701, 36, 140 on a calculator?

You can find the GCD of 112, 701, 36, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.