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 numbers 742, 607, 35, 617 is 1
GCD(742, 607, 35, 617) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.