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 940, 107, 398, 258 i.e. 1 largest integer that divides all the numbers equally.
GCD of 940, 107, 398, 258 is 1
GCD(940, 107, 398, 258) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 940, 107, 398, 258 is 1
GCD(940, 107, 398, 258) = 1
Given Input numbers are 940, 107, 398, 258
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Greatest Common Divisior
We found the divisors of 940, 107, 398, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 107, 398, 258 is 1.
Therefore, GCD of numbers 940, 107, 398, 258 is 1
Given Input Data is 940, 107, 398, 258
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 107 is 107
Prime Factorization of 398 is 2 x 199
Prime Factorization of 258 is 2 x 3 x 43
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(940, 107) = 100580
GCD(940, 107) = ( 940 x 107 ) / 100580
GCD(940, 107) = 100580 / 100580
GCD(940, 107) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
GCD(1, 398) = 398 / 398
GCD(1, 398) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 258
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 258) = 258
GCD(1, 258) = ( 1 x 258 ) / 258
GCD(1, 258) = 258 / 258
GCD(1, 258) = 1
GCD of 940, 107, 398, 258 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 940, 107, 398, 258?
GCD of 940, 107, 398, 258 is 1
2. Where do I get the detailed procedure to find GCD of 940, 107, 398, 258?
You can find a detailed procedure to find GCD of 940, 107, 398, 258 on our page.
3. How to find GCD of 940, 107, 398, 258 on a calculator?
You can find the GCD of 940, 107, 398, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.