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 771, 738, 118, 197 i.e. 1 largest integer that divides all the numbers equally.
GCD of 771, 738, 118, 197 is 1
GCD(771, 738, 118, 197) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 771, 738, 118, 197 is 1
GCD(771, 738, 118, 197) = 1
Given Input numbers are 771, 738, 118, 197
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Greatest Common Divisior
We found the divisors of 771, 738, 118, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 738, 118, 197 is 1.
Therefore, GCD of numbers 771, 738, 118, 197 is 1
Given Input Data is 771, 738, 118, 197
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 771 is 3 x 257
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 118 is 2 x 59
Prime Factorization of 197 is 197
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(771, 738) = 189666
GCD(771, 738) = ( 771 x 738 ) / 189666
GCD(771, 738) = 568998 / 189666
GCD(771, 738) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 118
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 118) = 354
GCD(3, 118) = ( 3 x 118 ) / 354
GCD(3, 118) = 354 / 354
GCD(3, 118) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 197
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 197) = 197
GCD(1, 197) = ( 1 x 197 ) / 197
GCD(1, 197) = 197 / 197
GCD(1, 197) = 1
GCD of 771, 738, 118, 197 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 771, 738, 118, 197?
GCD of 771, 738, 118, 197 is 1
2. Where do I get the detailed procedure to find GCD of 771, 738, 118, 197?
You can find a detailed procedure to find GCD of 771, 738, 118, 197 on our page.
3. How to find GCD of 771, 738, 118, 197 on a calculator?
You can find the GCD of 771, 738, 118, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.