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 195, 940, 34, 676 i.e. 1 largest integer that divides all the numbers equally.
GCD of 195, 940, 34, 676 is 1
GCD(195, 940, 34, 676) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 195, 940, 34, 676 is 1
GCD(195, 940, 34, 676) = 1
Given Input numbers are 195, 940, 34, 676
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Greatest Common Divisior
We found the divisors of 195, 940, 34, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 940, 34, 676 is 1.
Therefore, GCD of numbers 195, 940, 34, 676 is 1
Given Input Data is 195, 940, 34, 676
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 34 is 2 x 17
Prime Factorization of 676 is 2 x 2 x 13 x 13
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(195, 940) = 36660
GCD(195, 940) = ( 195 x 940 ) / 36660
GCD(195, 940) = 183300 / 36660
GCD(195, 940) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 34) = 170
GCD(5, 34) = ( 5 x 34 ) / 170
GCD(5, 34) = 170 / 170
GCD(5, 34) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 676) = 676
GCD(1, 676) = ( 1 x 676 ) / 676
GCD(1, 676) = 676 / 676
GCD(1, 676) = 1
GCD of 195, 940, 34, 676 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 195, 940, 34, 676?
GCD of 195, 940, 34, 676 is 1
2. Where do I get the detailed procedure to find GCD of 195, 940, 34, 676?
You can find a detailed procedure to find GCD of 195, 940, 34, 676 on our page.
3. How to find GCD of 195, 940, 34, 676 on a calculator?
You can find the GCD of 195, 940, 34, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.