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, 703, 600, 259 i.e. 1 largest integer that divides all the numbers equally.
GCD of 940, 703, 600, 259 is 1
GCD(940, 703, 600, 259) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 940, 703, 600, 259 is 1
GCD(940, 703, 600, 259) = 1
Given Input numbers are 940, 703, 600, 259
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 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Greatest Common Divisior
We found the divisors of 940, 703, 600, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 703, 600, 259 is 1.
Therefore, GCD of numbers 940, 703, 600, 259 is 1
Given Input Data is 940, 703, 600, 259
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 703 is 19 x 37
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 259 is 7 x 37
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, 703) = 660820
GCD(940, 703) = ( 940 x 703 ) / 660820
GCD(940, 703) = 660820 / 660820
GCD(940, 703) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 600
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
GCD(1, 600) = 600 / 600
GCD(1, 600) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 259
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 259) = 259
GCD(1, 259) = ( 1 x 259 ) / 259
GCD(1, 259) = 259 / 259
GCD(1, 259) = 1
GCD of 940, 703, 600, 259 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 940, 703, 600, 259?
GCD of 940, 703, 600, 259 is 1
2. Where do I get the detailed procedure to find GCD of 940, 703, 600, 259?
You can find a detailed procedure to find GCD of 940, 703, 600, 259 on our page.
3. How to find GCD of 940, 703, 600, 259 on a calculator?
You can find the GCD of 940, 703, 600, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.