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 374, 664, 43, 624 i.e. 1 largest integer that divides all the numbers equally.
GCD of 374, 664, 43, 624 is 1
GCD(374, 664, 43, 624) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 374, 664, 43, 624 is 1
GCD(374, 664, 43, 624) = 1
Given Input numbers are 374, 664, 43, 624
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Greatest Common Divisior
We found the divisors of 374, 664, 43, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 664, 43, 624 is 1.
Therefore, GCD of numbers 374, 664, 43, 624 is 1
Given Input Data is 374, 664, 43, 624
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 43 is 43
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 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(374, 664) = 124168
GCD(374, 664) = ( 374 x 664 ) / 124168
GCD(374, 664) = 248336 / 124168
GCD(374, 664) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 43) = 86
GCD(2, 43) = ( 2 x 43 ) / 86
GCD(2, 43) = 86 / 86
GCD(2, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 624
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 624) = 624
GCD(1, 624) = ( 1 x 624 ) / 624
GCD(1, 624) = 624 / 624
GCD(1, 624) = 1
GCD of 374, 664, 43, 624 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 374, 664, 43, 624?
GCD of 374, 664, 43, 624 is 1
2. Where do I get the detailed procedure to find GCD of 374, 664, 43, 624?
You can find a detailed procedure to find GCD of 374, 664, 43, 624 on our page.
3. How to find GCD of 374, 664, 43, 624 on a calculator?
You can find the GCD of 374, 664, 43, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.