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 958, 800, 31, 952 i.e. 1 largest integer that divides all the numbers equally.
GCD of 958, 800, 31, 952 is 1
GCD(958, 800, 31, 952) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 958, 800, 31, 952 is 1
GCD(958, 800, 31, 952) = 1
Given Input numbers are 958, 800, 31, 952
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Greatest Common Divisior
We found the divisors of 958, 800, 31, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 958, 800, 31, 952 is 1.
Therefore, GCD of numbers 958, 800, 31, 952 is 1
Given Input Data is 958, 800, 31, 952
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 958 is 2 x 479
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 31 is 31
Prime Factorization of 952 is 2 x 2 x 2 x 7 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(958, 800) = 383200
GCD(958, 800) = ( 958 x 800 ) / 383200
GCD(958, 800) = 766400 / 383200
GCD(958, 800) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 31) = 62
GCD(2, 31) = ( 2 x 31 ) / 62
GCD(2, 31) = 62 / 62
GCD(2, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 952
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 952) = 952
GCD(1, 952) = ( 1 x 952 ) / 952
GCD(1, 952) = 952 / 952
GCD(1, 952) = 1
GCD of 958, 800, 31, 952 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 958, 800, 31, 952?
GCD of 958, 800, 31, 952 is 1
2. Where do I get the detailed procedure to find GCD of 958, 800, 31, 952?
You can find a detailed procedure to find GCD of 958, 800, 31, 952 on our page.
3. How to find GCD of 958, 800, 31, 952 on a calculator?
You can find the GCD of 958, 800, 31, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.