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 197, 278, 36, 778 i.e. 1 largest integer that divides all the numbers equally.
GCD of 197, 278, 36, 778 is 1
GCD(197, 278, 36, 778) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 197, 278, 36, 778 is 1
GCD(197, 278, 36, 778) = 1
Given Input numbers are 197, 278, 36, 778
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Greatest Common Divisior
We found the divisors of 197, 278, 36, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 197, 278, 36, 778 is 1.
Therefore, GCD of numbers 197, 278, 36, 778 is 1
Given Input Data is 197, 278, 36, 778
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 197 is 197
Prime Factorization of 278 is 2 x 139
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 778 is 2 x 389
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(197, 278) = 54766
GCD(197, 278) = ( 197 x 278 ) / 54766
GCD(197, 278) = 54766 / 54766
GCD(197, 278) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 778
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 778) = 778
GCD(1, 778) = ( 1 x 778 ) / 778
GCD(1, 778) = 778 / 778
GCD(1, 778) = 1
GCD of 197, 278, 36, 778 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 197, 278, 36, 778?
GCD of 197, 278, 36, 778 is 1
2. Where do I get the detailed procedure to find GCD of 197, 278, 36, 778?
You can find a detailed procedure to find GCD of 197, 278, 36, 778 on our page.
3. How to find GCD of 197, 278, 36, 778 on a calculator?
You can find the GCD of 197, 278, 36, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.