GCD of 742, 595, 78, 635 Calculator

Given Input numbers are 742, 595, 78, 635

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 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 635

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

1, 5, 127, 635

Greatest Common Divisior

We found the divisors of 742, 595, 78, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 595, 78, 635 is 1.

Therefore, GCD of numbers 742, 595, 78, 635 is 1

Given Input Data is 742, 595, 78, 635

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 595 is 5 x 7 x 17

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 635 is 5 x 127

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, 595) = 63070

GCD(742, 595) = ( 742 x 595 ) / 63070

GCD(742, 595) = 441490 / 63070

GCD(742, 595) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 78

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

LCM(7, 78) = 546

GCD(7, 78) = ( 7 x 78 ) / 546

GCD(7, 78) = 546 / 546

GCD(7, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 635

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

LCM(1, 635) = 635

GCD(1, 635) = ( 1 x 635 ) / 635

GCD(1, 635) = 635 / 635

GCD(1, 635) = 1

GCD of 742, 595, 78, 635 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 980, 653, 11, 136
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• GCD of 381, 191, 39, 102

1. What is the GCD of 742, 595, 78, 635?

GCD of 742, 595, 78, 635 is 1

2. Where do I get the detailed procedure to find GCD of 742, 595, 78, 635?

You can find a detailed procedure to find GCD of 742, 595, 78, 635 on our page.

3. How to find GCD of 742, 595, 78, 635 on a calculator?

You can find the GCD of 742, 595, 78, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.