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 375, 790, 656, 860 i.e. 1 largest integer that divides all the numbers equally.
GCD of 375, 790, 656, 860 is 1
GCD(375, 790, 656, 860) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 375, 790, 656, 860 is 1
GCD(375, 790, 656, 860) = 1
Given Input numbers are 375, 790, 656, 860
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Greatest Common Divisior
We found the divisors of 375, 790, 656, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 790, 656, 860 is 1.
Therefore, GCD of numbers 375, 790, 656, 860 is 1
Given Input Data is 375, 790, 656, 860
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 790 is 2 x 5 x 79
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 860 is 2 x 2 x 5 x 43
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(375, 790) = 59250
GCD(375, 790) = ( 375 x 790 ) / 59250
GCD(375, 790) = 296250 / 59250
GCD(375, 790) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 656
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 656) = 3280
GCD(5, 656) = ( 5 x 656 ) / 3280
GCD(5, 656) = 3280 / 3280
GCD(5, 656) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 860
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 860) = 860
GCD(1, 860) = ( 1 x 860 ) / 860
GCD(1, 860) = 860 / 860
GCD(1, 860) = 1
GCD of 375, 790, 656, 860 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 375, 790, 656, 860?
GCD of 375, 790, 656, 860 is 1
2. Where do I get the detailed procedure to find GCD of 375, 790, 656, 860?
You can find a detailed procedure to find GCD of 375, 790, 656, 860 on our page.
3. How to find GCD of 375, 790, 656, 860 on a calculator?
You can find the GCD of 375, 790, 656, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.