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, 525, 42 i.e. 1 largest integer that divides all the numbers equally.
GCD of 958, 525, 42 is 1
GCD(958, 525, 42) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 958, 525, 42 is 1
GCD(958, 525, 42) = 1
Given Input numbers are 958, 525, 42
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 525
List of positive integer divisors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Greatest Common Divisior
We found the divisors of 958, 525, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 958, 525, 42 is 1.
Therefore, GCD of numbers 958, 525, 42 is 1
Given Input Data is 958, 525, 42
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 958 is 2 x 479
Prime Factorization of 525 is 3 x 5 x 5 x 7
Prime Factorization of 42 is 2 x 3 x 7
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, 525) = 502950
GCD(958, 525) = ( 958 x 525 ) / 502950
GCD(958, 525) = 502950 / 502950
GCD(958, 525) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
GCD of 958, 525, 42 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 958, 525, 42?
GCD of 958, 525, 42 is 1
2. Where do I get the detailed procedure to find GCD of 958, 525, 42?
You can find a detailed procedure to find GCD of 958, 525, 42 on our page.
3. How to find GCD of 958, 525, 42 on a calculator?
You can find the GCD of 958, 525, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.