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, 915, 85, 380 i.e. 1 largest integer that divides all the numbers equally.
GCD of 854, 915, 85, 380 is 1
GCD(854, 915, 85, 380) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 854, 915, 85, 380 is 1
GCD(854, 915, 85, 380) = 1
Given Input numbers are 854, 915, 85, 380
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 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Greatest Common Divisior
We found the divisors of 854, 915, 85, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 915, 85, 380 is 1.
Therefore, GCD of numbers 854, 915, 85, 380 is 1
Given Input Data is 854, 915, 85, 380
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 915 is 3 x 5 x 61
Prime Factorization of 85 is 5 x 17
Prime Factorization of 380 is 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(854, 915) = 12810
GCD(854, 915) = ( 854 x 915 ) / 12810
GCD(854, 915) = 781410 / 12810
GCD(854, 915) = 61
Step2:
Here we consider the GCD from the above i.e. 61 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(61, 85) = 5185
GCD(61, 85) = ( 61 x 85 ) / 5185
GCD(61, 85) = 5185 / 5185
GCD(61, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
GCD(1, 380) = 380 / 380
GCD(1, 380) = 1
GCD of 854, 915, 85, 380 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 854, 915, 85, 380?
GCD of 854, 915, 85, 380 is 1
2. Where do I get the detailed procedure to find GCD of 854, 915, 85, 380?
You can find a detailed procedure to find GCD of 854, 915, 85, 380 on our page.
3. How to find GCD of 854, 915, 85, 380 on a calculator?
You can find the GCD of 854, 915, 85, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.