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 238, 962, 51, 959 i.e. 1 largest integer that divides all the numbers equally.
GCD of 238, 962, 51, 959 is 1
GCD(238, 962, 51, 959) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 238, 962, 51, 959 is 1
GCD(238, 962, 51, 959) = 1
Given Input numbers are 238, 962, 51, 959
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Greatest Common Divisior
We found the divisors of 238, 962, 51, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 962, 51, 959 is 1.
Therefore, GCD of numbers 238, 962, 51, 959 is 1
Given Input Data is 238, 962, 51, 959
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 51 is 3 x 17
Prime Factorization of 959 is 7 x 137
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(238, 962) = 114478
GCD(238, 962) = ( 238 x 962 ) / 114478
GCD(238, 962) = 228956 / 114478
GCD(238, 962) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 51) = 102
GCD(2, 51) = ( 2 x 51 ) / 102
GCD(2, 51) = 102 / 102
GCD(2, 51) = 1
Step3:
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
GCD of 238, 962, 51, 959 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 238, 962, 51, 959?
GCD of 238, 962, 51, 959 is 1
2. Where do I get the detailed procedure to find GCD of 238, 962, 51, 959?
You can find a detailed procedure to find GCD of 238, 962, 51, 959 on our page.
3. How to find GCD of 238, 962, 51, 959 on a calculator?
You can find the GCD of 238, 962, 51, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.