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 854, 379, 340, 925 i.e. 1 largest integer that divides all the numbers equally.
GCD of 854, 379, 340, 925 is 1
GCD(854, 379, 340, 925) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 854, 379, 340, 925 is 1
GCD(854, 379, 340, 925) = 1
Given Input numbers are 854, 379, 340, 925
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Greatest Common Divisior
We found the divisors of 854, 379, 340, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 379, 340, 925 is 1.
Therefore, GCD of numbers 854, 379, 340, 925 is 1
Given Input Data is 854, 379, 340, 925
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 379 is 379
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 925 is 5 x 5 x 37
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(854, 379) = 323666
GCD(854, 379) = ( 854 x 379 ) / 323666
GCD(854, 379) = 323666 / 323666
GCD(854, 379) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 340
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 340) = 340
GCD(1, 340) = ( 1 x 340 ) / 340
GCD(1, 340) = 340 / 340
GCD(1, 340) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 925
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 925) = 925
GCD(1, 925) = ( 1 x 925 ) / 925
GCD(1, 925) = 925 / 925
GCD(1, 925) = 1
GCD of 854, 379, 340, 925 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 854, 379, 340, 925?
GCD of 854, 379, 340, 925 is 1
2. Where do I get the detailed procedure to find GCD of 854, 379, 340, 925?
You can find a detailed procedure to find GCD of 854, 379, 340, 925 on our page.
3. How to find GCD of 854, 379, 340, 925 on a calculator?
You can find the GCD of 854, 379, 340, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.