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 395, 140, 58, 876 i.e. 1 largest integer that divides all the numbers equally.
GCD of 395, 140, 58, 876 is 1
GCD(395, 140, 58, 876) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 395, 140, 58, 876 is 1
GCD(395, 140, 58, 876) = 1
Given Input numbers are 395, 140, 58, 876
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Greatest Common Divisior
We found the divisors of 395, 140, 58, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 140, 58, 876 is 1.
Therefore, GCD of numbers 395, 140, 58, 876 is 1
Given Input Data is 395, 140, 58, 876
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 395 is 5 x 79
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 58 is 2 x 29
Prime Factorization of 876 is 2 x 2 x 3 x 73
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(395, 140) = 11060
GCD(395, 140) = ( 395 x 140 ) / 11060
GCD(395, 140) = 55300 / 11060
GCD(395, 140) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 58) = 290
GCD(5, 58) = ( 5 x 58 ) / 290
GCD(5, 58) = 290 / 290
GCD(5, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 876
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 876) = 876
GCD(1, 876) = ( 1 x 876 ) / 876
GCD(1, 876) = 876 / 876
GCD(1, 876) = 1
GCD of 395, 140, 58, 876 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 395, 140, 58, 876?
GCD of 395, 140, 58, 876 is 1
2. Where do I get the detailed procedure to find GCD of 395, 140, 58, 876?
You can find a detailed procedure to find GCD of 395, 140, 58, 876 on our page.
3. How to find GCD of 395, 140, 58, 876 on a calculator?
You can find the GCD of 395, 140, 58, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.