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 590, 240, 875, 778 i.e. 1 largest integer that divides all the numbers equally.
GCD of 590, 240, 875, 778 is 1
GCD(590, 240, 875, 778) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 590, 240, 875, 778 is 1
GCD(590, 240, 875, 778) = 1
Given Input numbers are 590, 240, 875, 778
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Greatest Common Divisior
We found the divisors of 590, 240, 875, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 240, 875, 778 is 1.
Therefore, GCD of numbers 590, 240, 875, 778 is 1
Given Input Data is 590, 240, 875, 778
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 590 is 2 x 5 x 59
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 778 is 2 x 389
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(590, 240) = 14160
GCD(590, 240) = ( 590 x 240 ) / 14160
GCD(590, 240) = 141600 / 14160
GCD(590, 240) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 875
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 875) = 1750
GCD(10, 875) = ( 10 x 875 ) / 1750
GCD(10, 875) = 8750 / 1750
GCD(10, 875) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 778
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 778) = 3890
GCD(5, 778) = ( 5 x 778 ) / 3890
GCD(5, 778) = 3890 / 3890
GCD(5, 778) = 1
GCD of 590, 240, 875, 778 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 590, 240, 875, 778?
GCD of 590, 240, 875, 778 is 1
2. Where do I get the detailed procedure to find GCD of 590, 240, 875, 778?
You can find a detailed procedure to find GCD of 590, 240, 875, 778 on our page.
3. How to find GCD of 590, 240, 875, 778 on a calculator?
You can find the GCD of 590, 240, 875, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.