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 367, 350, 147, 989 i.e. 1 largest integer that divides all the numbers equally.
GCD of 367, 350, 147, 989 is 1
GCD(367, 350, 147, 989) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 367, 350, 147, 989 is 1
GCD(367, 350, 147, 989) = 1
Given Input numbers are 367, 350, 147, 989
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Greatest Common Divisior
We found the divisors of 367, 350, 147, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 350, 147, 989 is 1.
Therefore, GCD of numbers 367, 350, 147, 989 is 1
Given Input Data is 367, 350, 147, 989
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 367 is 367
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 989 is 23 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(367, 350) = 128450
GCD(367, 350) = ( 367 x 350 ) / 128450
GCD(367, 350) = 128450 / 128450
GCD(367, 350) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 147
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 147) = 147
GCD(1, 147) = ( 1 x 147 ) / 147
GCD(1, 147) = 147 / 147
GCD(1, 147) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 989
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 989) = 989
GCD(1, 989) = ( 1 x 989 ) / 989
GCD(1, 989) = 989 / 989
GCD(1, 989) = 1
GCD of 367, 350, 147, 989 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 367, 350, 147, 989?
GCD of 367, 350, 147, 989 is 1
2. Where do I get the detailed procedure to find GCD of 367, 350, 147, 989?
You can find a detailed procedure to find GCD of 367, 350, 147, 989 on our page.
3. How to find GCD of 367, 350, 147, 989 on a calculator?
You can find the GCD of 367, 350, 147, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.