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 24, 807, 190, 959 i.e. 1 largest integer that divides all the numbers equally.
GCD of 24, 807, 190, 959 is 1
GCD(24, 807, 190, 959) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 24, 807, 190, 959 is 1
GCD(24, 807, 190, 959) = 1
Given Input numbers are 24, 807, 190, 959
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Greatest Common Divisior
We found the divisors of 24, 807, 190, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 807, 190, 959 is 1.
Therefore, GCD of numbers 24, 807, 190, 959 is 1
Given Input Data is 24, 807, 190, 959
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 807 is 3 x 269
Prime Factorization of 190 is 2 x 5 x 19
Prime Factorization of 959 is 7 x 137
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(24, 807) = 6456
GCD(24, 807) = ( 24 x 807 ) / 6456
GCD(24, 807) = 19368 / 6456
GCD(24, 807) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 190
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 190) = 570
GCD(3, 190) = ( 3 x 190 ) / 570
GCD(3, 190) = 570 / 570
GCD(3, 190) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 959) = 959
GCD(1, 959) = ( 1 x 959 ) / 959
GCD(1, 959) = 959 / 959
GCD(1, 959) = 1
GCD of 24, 807, 190, 959 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 24, 807, 190, 959?
GCD of 24, 807, 190, 959 is 1
2. Where do I get the detailed procedure to find GCD of 24, 807, 190, 959?
You can find a detailed procedure to find GCD of 24, 807, 190, 959 on our page.
3. How to find GCD of 24, 807, 190, 959 on a calculator?
You can find the GCD of 24, 807, 190, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.