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 159, 237, 865, 778 i.e. 1 largest integer that divides all the numbers equally.
GCD of 159, 237, 865, 778 is 1
GCD(159, 237, 865, 778) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 159, 237, 865, 778 is 1
GCD(159, 237, 865, 778) = 1
Given Input numbers are 159, 237, 865, 778
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Greatest Common Divisior
We found the divisors of 159, 237, 865, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 237, 865, 778 is 1.
Therefore, GCD of numbers 159, 237, 865, 778 is 1
Given Input Data is 159, 237, 865, 778
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 159 is 3 x 53
Prime Factorization of 237 is 3 x 79
Prime Factorization of 865 is 5 x 173
Prime Factorization of 778 is 2 x 389
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(159, 237) = 12561
GCD(159, 237) = ( 159 x 237 ) / 12561
GCD(159, 237) = 37683 / 12561
GCD(159, 237) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 865) = 2595
GCD(3, 865) = ( 3 x 865 ) / 2595
GCD(3, 865) = 2595 / 2595
GCD(3, 865) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 778
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 778) = 778
GCD(1, 778) = ( 1 x 778 ) / 778
GCD(1, 778) = 778 / 778
GCD(1, 778) = 1
GCD of 159, 237, 865, 778 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 159, 237, 865, 778?
GCD of 159, 237, 865, 778 is 1
2. Where do I get the detailed procedure to find GCD of 159, 237, 865, 778?
You can find a detailed procedure to find GCD of 159, 237, 865, 778 on our page.
3. How to find GCD of 159, 237, 865, 778 on a calculator?
You can find the GCD of 159, 237, 865, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.