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, 850, 931, 354 i.e. 1 largest integer that divides all the numbers equally.
GCD of 395, 850, 931, 354 is 1
GCD(395, 850, 931, 354) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 395, 850, 931, 354 is 1
GCD(395, 850, 931, 354) = 1
Given Input numbers are 395, 850, 931, 354
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 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Greatest Common Divisior
We found the divisors of 395, 850, 931, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 850, 931, 354 is 1.
Therefore, GCD of numbers 395, 850, 931, 354 is 1
Given Input Data is 395, 850, 931, 354
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 395 is 5 x 79
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 354 is 2 x 3 x 59
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, 850) = 67150
GCD(395, 850) = ( 395 x 850 ) / 67150
GCD(395, 850) = 335750 / 67150
GCD(395, 850) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 931
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 931) = 4655
GCD(5, 931) = ( 5 x 931 ) / 4655
GCD(5, 931) = 4655 / 4655
GCD(5, 931) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 354
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 354) = 354
GCD(1, 354) = ( 1 x 354 ) / 354
GCD(1, 354) = 354 / 354
GCD(1, 354) = 1
GCD of 395, 850, 931, 354 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 395, 850, 931, 354?
GCD of 395, 850, 931, 354 is 1
2. Where do I get the detailed procedure to find GCD of 395, 850, 931, 354?
You can find a detailed procedure to find GCD of 395, 850, 931, 354 on our page.
3. How to find GCD of 395, 850, 931, 354 on a calculator?
You can find the GCD of 395, 850, 931, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.