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 51, 335, 959, 874 i.e. 1 largest integer that divides all the numbers equally.
GCD of 51, 335, 959, 874 is 1
GCD(51, 335, 959, 874) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 51, 335, 959, 874 is 1
GCD(51, 335, 959, 874) = 1
Given Input numbers are 51, 335, 959, 874
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Greatest Common Divisior
We found the divisors of 51, 335, 959, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 335, 959, 874 is 1.
Therefore, GCD of numbers 51, 335, 959, 874 is 1
Given Input Data is 51, 335, 959, 874
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 51 is 3 x 17
Prime Factorization of 335 is 5 x 67
Prime Factorization of 959 is 7 x 137
Prime Factorization of 874 is 2 x 19 x 23
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(51, 335) = 17085
GCD(51, 335) = ( 51 x 335 ) / 17085
GCD(51, 335) = 17085 / 17085
GCD(51, 335) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 959) = 959
GCD(1, 959) = ( 1 x 959 ) / 959
GCD(1, 959) = 959 / 959
GCD(1, 959) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
GCD(1, 874) = 874 / 874
GCD(1, 874) = 1
GCD of 51, 335, 959, 874 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 51, 335, 959, 874?
GCD of 51, 335, 959, 874 is 1
2. Where do I get the detailed procedure to find GCD of 51, 335, 959, 874?
You can find a detailed procedure to find GCD of 51, 335, 959, 874 on our page.
3. How to find GCD of 51, 335, 959, 874 on a calculator?
You can find the GCD of 51, 335, 959, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.