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 85, 929, 208, 378 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 929, 208, 378 is 1
GCD(85, 929, 208, 378) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 929, 208, 378 is 1
GCD(85, 929, 208, 378) = 1
Given Input numbers are 85, 929, 208, 378
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 929
List of positive integer divisors of 929 that divides 929 without a remainder.
1, 929
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Greatest Common Divisior
We found the divisors of 85, 929, 208, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 929, 208, 378 is 1.
Therefore, GCD of numbers 85, 929, 208, 378 is 1
Given Input Data is 85, 929, 208, 378
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 929 is 929
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 378 is 2 x 3 x 3 x 3 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(85, 929) = 78965
GCD(85, 929) = ( 85 x 929 ) / 78965
GCD(85, 929) = 78965 / 78965
GCD(85, 929) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 208
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 208) = 208
GCD(1, 208) = ( 1 x 208 ) / 208
GCD(1, 208) = 208 / 208
GCD(1, 208) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 378
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
GCD(1, 378) = 378 / 378
GCD(1, 378) = 1
GCD of 85, 929, 208, 378 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 929, 208, 378?
GCD of 85, 929, 208, 378 is 1
2. Where do I get the detailed procedure to find GCD of 85, 929, 208, 378?
You can find a detailed procedure to find GCD of 85, 929, 208, 378 on our page.
3. How to find GCD of 85, 929, 208, 378 on a calculator?
You can find the GCD of 85, 929, 208, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.