GCD of 742, 363, 114, 702 Calculator

Given Input numbers are 742, 363, 114, 702

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 742, 363, 114, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 363, 114, 702 is 1.

Therefore, GCD of numbers 742, 363, 114, 702 is 1

Given Input Data is 742, 363, 114, 702

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(742, 363) = 269346

GCD(742, 363) = ( 742 x 363 ) / 269346

GCD(742, 363) = 269346 / 269346

GCD(742, 363) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 742, 363, 114, 702 is 1

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1. What is the GCD of 742, 363, 114, 702?

GCD of 742, 363, 114, 702 is 1

2. Where do I get the detailed procedure to find GCD of 742, 363, 114, 702?

You can find a detailed procedure to find GCD of 742, 363, 114, 702 on our page.

3. How to find GCD of 742, 363, 114, 702 on a calculator?

You can find the GCD of 742, 363, 114, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.