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 374, 647, 478, 760 i.e. 1 largest integer that divides all the numbers equally.
GCD of 374, 647, 478, 760 is 1
GCD(374, 647, 478, 760) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 374, 647, 478, 760 is 1
GCD(374, 647, 478, 760) = 1
Given Input numbers are 374, 647, 478, 760
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 647
List of positive integer divisors of 647 that divides 647 without a remainder.
1, 647
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Greatest Common Divisior
We found the divisors of 374, 647, 478, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 647, 478, 760 is 1.
Therefore, GCD of numbers 374, 647, 478, 760 is 1
Given Input Data is 374, 647, 478, 760
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 647 is 647
Prime Factorization of 478 is 2 x 239
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
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(374, 647) = 241978
GCD(374, 647) = ( 374 x 647 ) / 241978
GCD(374, 647) = 241978 / 241978
GCD(374, 647) = 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 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
GCD(1, 760) = 760 / 760
GCD(1, 760) = 1
GCD of 374, 647, 478, 760 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 374, 647, 478, 760?
GCD of 374, 647, 478, 760 is 1
2. Where do I get the detailed procedure to find GCD of 374, 647, 478, 760?
You can find a detailed procedure to find GCD of 374, 647, 478, 760 on our page.
3. How to find GCD of 374, 647, 478, 760 on a calculator?
You can find the GCD of 374, 647, 478, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.