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 871, 597, 66, 118 i.e. 1 largest integer that divides all the numbers equally.
GCD of 871, 597, 66, 118 is 1
GCD(871, 597, 66, 118) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 871, 597, 66, 118 is 1
GCD(871, 597, 66, 118) = 1
Given Input numbers are 871, 597, 66, 118
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Greatest Common Divisior
We found the divisors of 871, 597, 66, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 597, 66, 118 is 1.
Therefore, GCD of numbers 871, 597, 66, 118 is 1
Given Input Data is 871, 597, 66, 118
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 871 is 13 x 67
Prime Factorization of 597 is 3 x 199
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 118 is 2 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(871, 597) = 519987
GCD(871, 597) = ( 871 x 597 ) / 519987
GCD(871, 597) = 519987 / 519987
GCD(871, 597) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 118
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 118) = 118
GCD(1, 118) = ( 1 x 118 ) / 118
GCD(1, 118) = 118 / 118
GCD(1, 118) = 1
GCD of 871, 597, 66, 118 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 871, 597, 66, 118?
GCD of 871, 597, 66, 118 is 1
2. Where do I get the detailed procedure to find GCD of 871, 597, 66, 118?
You can find a detailed procedure to find GCD of 871, 597, 66, 118 on our page.
3. How to find GCD of 871, 597, 66, 118 on a calculator?
You can find the GCD of 871, 597, 66, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.