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 991, 597, 278, 197 i.e. 1 largest integer that divides all the numbers equally.
GCD of 991, 597, 278, 197 is 1
GCD(991, 597, 278, 197) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 991, 597, 278, 197 is 1
GCD(991, 597, 278, 197) = 1
Given Input numbers are 991, 597, 278, 197
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Divisors of 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
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 991, 597, 278, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 597, 278, 197 is 1.
Therefore, GCD of numbers 991, 597, 278, 197 is 1
Given Input Data is 991, 597, 278, 197
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 991 is 991
Prime Factorization of 597 is 3 x 199
Prime Factorization of 278 is 2 x 139
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(991, 597) = 591627
GCD(991, 597) = ( 991 x 597 ) / 591627
GCD(991, 597) = 591627 / 591627
GCD(991, 597) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 278) = 278
GCD(1, 278) = ( 1 x 278 ) / 278
GCD(1, 278) = 278 / 278
GCD(1, 278) = 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 991, 597, 278, 197 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 991, 597, 278, 197?
GCD of 991, 597, 278, 197 is 1
2. Where do I get the detailed procedure to find GCD of 991, 597, 278, 197?
You can find a detailed procedure to find GCD of 991, 597, 278, 197 on our page.
3. How to find GCD of 991, 597, 278, 197 on a calculator?
You can find the GCD of 991, 597, 278, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.