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, 857, 478, 764 i.e. 1 largest integer that divides all the numbers equally.
GCD of 742, 857, 478, 764 is 1
GCD(742, 857, 478, 764) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 742, 857, 478, 764 is 1
GCD(742, 857, 478, 764) = 1
Given Input numbers are 742, 857, 478, 764
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 857
List of positive integer divisors of 857 that divides 857 without a remainder.
1, 857
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Greatest Common Divisior
We found the divisors of 742, 857, 478, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 857, 478, 764 is 1.
Therefore, GCD of numbers 742, 857, 478, 764 is 1
Given Input Data is 742, 857, 478, 764
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 857 is 857
Prime Factorization of 478 is 2 x 239
Prime Factorization of 764 is 2 x 2 x 191
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, 857) = 635894
GCD(742, 857) = ( 742 x 857 ) / 635894
GCD(742, 857) = 635894 / 635894
GCD(742, 857) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 478
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 478) = 478
GCD(1, 478) = ( 1 x 478 ) / 478
GCD(1, 478) = 478 / 478
GCD(1, 478) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
GCD(1, 764) = 764 / 764
GCD(1, 764) = 1
GCD of 742, 857, 478, 764 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 742, 857, 478, 764?
GCD of 742, 857, 478, 764 is 1
2. Where do I get the detailed procedure to find GCD of 742, 857, 478, 764?
You can find a detailed procedure to find GCD of 742, 857, 478, 764 on our page.
3. How to find GCD of 742, 857, 478, 764 on a calculator?
You can find the GCD of 742, 857, 478, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.