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 153, 716, 57, 871 i.e. 1 largest integer that divides all the numbers equally.
GCD of 153, 716, 57, 871 is 1
GCD(153, 716, 57, 871) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 153, 716, 57, 871 is 1
GCD(153, 716, 57, 871) = 1
Given Input numbers are 153, 716, 57, 871
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Greatest Common Divisior
We found the divisors of 153, 716, 57, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 716, 57, 871 is 1.
Therefore, GCD of numbers 153, 716, 57, 871 is 1
Given Input Data is 153, 716, 57, 871
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 57 is 3 x 19
Prime Factorization of 871 is 13 x 67
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(153, 716) = 109548
GCD(153, 716) = ( 153 x 716 ) / 109548
GCD(153, 716) = 109548 / 109548
GCD(153, 716) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 57) = 57
GCD(1, 57) = ( 1 x 57 ) / 57
GCD(1, 57) = 57 / 57
GCD(1, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 871
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 871) = 871
GCD(1, 871) = ( 1 x 871 ) / 871
GCD(1, 871) = 871 / 871
GCD(1, 871) = 1
GCD of 153, 716, 57, 871 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 153, 716, 57, 871?
GCD of 153, 716, 57, 871 is 1
2. Where do I get the detailed procedure to find GCD of 153, 716, 57, 871?
You can find a detailed procedure to find GCD of 153, 716, 57, 871 on our page.
3. How to find GCD of 153, 716, 57, 871 on a calculator?
You can find the GCD of 153, 716, 57, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.