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 340, 989, 24, 901 i.e. 1 largest integer that divides all the numbers equally.
GCD of 340, 989, 24, 901 is 1
GCD(340, 989, 24, 901) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 340, 989, 24, 901 is 1
GCD(340, 989, 24, 901) = 1
Given Input numbers are 340, 989, 24, 901
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
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 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Greatest Common Divisior
We found the divisors of 340, 989, 24, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 989, 24, 901 is 1.
Therefore, GCD of numbers 340, 989, 24, 901 is 1
Given Input Data is 340, 989, 24, 901
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 989 is 23 x 43
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 901 is 17 x 53
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(340, 989) = 336260
GCD(340, 989) = ( 340 x 989 ) / 336260
GCD(340, 989) = 336260 / 336260
GCD(340, 989) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 901
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 901) = 901
GCD(1, 901) = ( 1 x 901 ) / 901
GCD(1, 901) = 901 / 901
GCD(1, 901) = 1
GCD of 340, 989, 24, 901 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 340, 989, 24, 901?
GCD of 340, 989, 24, 901 is 1
2. Where do I get the detailed procedure to find GCD of 340, 989, 24, 901?
You can find a detailed procedure to find GCD of 340, 989, 24, 901 on our page.
3. How to find GCD of 340, 989, 24, 901 on a calculator?
You can find the GCD of 340, 989, 24, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.