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 344, 964, 63, 624 i.e. 1 largest integer that divides all the numbers equally.
GCD of 344, 964, 63, 624 is 1
GCD(344, 964, 63, 624) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 344, 964, 63, 624 is 1
GCD(344, 964, 63, 624) = 1
Given Input numbers are 344, 964, 63, 624
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
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 344, 964, 63, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 964, 63, 624 is 1.
Therefore, GCD of numbers 344, 964, 63, 624 is 1
Given Input Data is 344, 964, 63, 624
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 63 is 3 x 3 x 7
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(344, 964) = 82904
GCD(344, 964) = ( 344 x 964 ) / 82904
GCD(344, 964) = 331616 / 82904
GCD(344, 964) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 63) = 252
GCD(4, 63) = ( 4 x 63 ) / 252
GCD(4, 63) = 252 / 252
GCD(4, 63) = 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 344, 964, 63, 624 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 344, 964, 63, 624?
GCD of 344, 964, 63, 624 is 1
2. Where do I get the detailed procedure to find GCD of 344, 964, 63, 624?
You can find a detailed procedure to find GCD of 344, 964, 63, 624 on our page.
3. How to find GCD of 344, 964, 63, 624 on a calculator?
You can find the GCD of 344, 964, 63, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.