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, 970, 518, 265 i.e. 1 largest integer that divides all the numbers equally.
GCD of 958, 970, 518, 265 is 1
GCD(958, 970, 518, 265) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 958, 970, 518, 265 is 1
GCD(958, 970, 518, 265) = 1
Given Input numbers are 958, 970, 518, 265
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 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Greatest Common Divisior
We found the divisors of 958, 970, 518, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 958, 970, 518, 265 is 1.
Therefore, GCD of numbers 958, 970, 518, 265 is 1
Given Input Data is 958, 970, 518, 265
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 958 is 2 x 479
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 518 is 2 x 7 x 37
Prime Factorization of 265 is 5 x 53
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, 970) = 464630
GCD(958, 970) = ( 958 x 970 ) / 464630
GCD(958, 970) = 929260 / 464630
GCD(958, 970) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 518
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 518) = 518
GCD(2, 518) = ( 2 x 518 ) / 518
GCD(2, 518) = 1036 / 518
GCD(2, 518) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 265
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 265) = 530
GCD(2, 265) = ( 2 x 265 ) / 530
GCD(2, 265) = 530 / 530
GCD(2, 265) = 1
GCD of 958, 970, 518, 265 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 958, 970, 518, 265?
GCD of 958, 970, 518, 265 is 1
2. Where do I get the detailed procedure to find GCD of 958, 970, 518, 265?
You can find a detailed procedure to find GCD of 958, 970, 518, 265 on our page.
3. How to find GCD of 958, 970, 518, 265 on a calculator?
You can find the GCD of 958, 970, 518, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.