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 373, 967, 78, 364 i.e. 1 largest integer that divides all the numbers equally.
GCD of 373, 967, 78, 364 is 1
GCD(373, 967, 78, 364) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 373, 967, 78, 364 is 1
GCD(373, 967, 78, 364) = 1
Given Input numbers are 373, 967, 78, 364
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 373
List of positive integer divisors of 373 that divides 373 without a remainder.
1, 373
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Greatest Common Divisior
We found the divisors of 373, 967, 78, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 373, 967, 78, 364 is 1.
Therefore, GCD of numbers 373, 967, 78, 364 is 1
Given Input Data is 373, 967, 78, 364
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 373 is 373
Prime Factorization of 967 is 967
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 364 is 2 x 2 x 7 x 13
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(373, 967) = 360691
GCD(373, 967) = ( 373 x 967 ) / 360691
GCD(373, 967) = 360691 / 360691
GCD(373, 967) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 78) = 78
GCD(1, 78) = ( 1 x 78 ) / 78
GCD(1, 78) = 78 / 78
GCD(1, 78) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 364
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 364) = 364
GCD(1, 364) = ( 1 x 364 ) / 364
GCD(1, 364) = 364 / 364
GCD(1, 364) = 1
GCD of 373, 967, 78, 364 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 373, 967, 78, 364?
GCD of 373, 967, 78, 364 is 1
2. Where do I get the detailed procedure to find GCD of 373, 967, 78, 364?
You can find a detailed procedure to find GCD of 373, 967, 78, 364 on our page.
3. How to find GCD of 373, 967, 78, 364 on a calculator?
You can find the GCD of 373, 967, 78, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.