GCD of 742, 607, 35, 617 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 742, 607, 35, 617 i.e. 1 largest integer that divides all the numbers equally.

GCD of 742, 607, 35, 617 is 1

GCD(742, 607, 35, 617) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 742, 607, 35, 617 is 1

GCD(742, 607, 35, 617) = 1

GCD of 742,607,35,617 Calculator

GCDof 742,607,35,617 is 1

Given Input numbers are 742, 607, 35, 617

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 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Greatest Common Divisior

We found the divisors of 742, 607, 35, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 607, 35, 617 is 1.

Therefore, GCD of numbers 742, 607, 35, 617 is 1

Finding GCD of 742, 607, 35, 617 using Prime Factorization

Given Input Data is 742, 607, 35, 617

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 607 is 607

Prime Factorization of 35 is 5 x 7

Prime Factorization of 617 is 617

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 742, 607, 35, 617 using LCM Formula

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, 607) = 450394

GCD(742, 607) = ( 742 x 607 ) / 450394

GCD(742, 607) = 450394 / 450394

GCD(742, 607) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 617

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

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

GCD(1, 617) = 617 / 617

GCD(1, 617) = 1

GCD of 742, 607, 35, 617 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 742, 607, 35, 617

1. What is the GCD of 742, 607, 35, 617?

GCD of 742, 607, 35, 617 is 1


2. Where do I get the detailed procedure to find GCD of 742, 607, 35, 617?

You can find a detailed procedure to find GCD of 742, 607, 35, 617 on our page.


3. How to find GCD of 742, 607, 35, 617 on a calculator?

You can find the GCD of 742, 607, 35, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.