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, 816, 980 i.e. 1 largest integer that divides all the numbers equally.
GCD of 375, 816, 980 is 1
GCD(375, 816, 980) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 375, 816, 980 is 1
GCD(375, 816, 980) = 1
Given Input numbers are 375, 816, 980
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 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Greatest Common Divisior
We found the divisors of 375, 816, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 816, 980 is 1.
Therefore, GCD of numbers 375, 816, 980 is 1
Given Input Data is 375, 816, 980
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 816 is 2 x 2 x 2 x 2 x 3 x 17
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
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, 816) = 102000
GCD(375, 816) = ( 375 x 816 ) / 102000
GCD(375, 816) = 306000 / 102000
GCD(375, 816) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 980
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 980) = 2940
GCD(3, 980) = ( 3 x 980 ) / 2940
GCD(3, 980) = 2940 / 2940
GCD(3, 980) = 1
GCD of 375, 816, 980 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 375, 816, 980?
GCD of 375, 816, 980 is 1
2. Where do I get the detailed procedure to find GCD of 375, 816, 980?
You can find a detailed procedure to find GCD of 375, 816, 980 on our page.
3. How to find GCD of 375, 816, 980 on a calculator?
You can find the GCD of 375, 816, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.