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, 767, 42, 153 i.e. 1 largest integer that divides all the numbers equally.
GCD of 871, 767, 42, 153 is 1
GCD(871, 767, 42, 153) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 871, 767, 42, 153 is 1
GCD(871, 767, 42, 153) = 1
Given Input numbers are 871, 767, 42, 153
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 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Greatest Common Divisior
We found the divisors of 871, 767, 42, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 767, 42, 153 is 1.
Therefore, GCD of numbers 871, 767, 42, 153 is 1
Given Input Data is 871, 767, 42, 153
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 871 is 13 x 67
Prime Factorization of 767 is 13 x 59
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 153 is 3 x 3 x 17
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, 767) = 51389
GCD(871, 767) = ( 871 x 767 ) / 51389
GCD(871, 767) = 668057 / 51389
GCD(871, 767) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 42) = 546
GCD(13, 42) = ( 13 x 42 ) / 546
GCD(13, 42) = 546 / 546
GCD(13, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 153) = 153
GCD(1, 153) = ( 1 x 153 ) / 153
GCD(1, 153) = 153 / 153
GCD(1, 153) = 1
GCD of 871, 767, 42, 153 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 871, 767, 42, 153?
GCD of 871, 767, 42, 153 is 1
2. Where do I get the detailed procedure to find GCD of 871, 767, 42, 153?
You can find a detailed procedure to find GCD of 871, 767, 42, 153 on our page.
3. How to find GCD of 871, 767, 42, 153 on a calculator?
You can find the GCD of 871, 767, 42, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.