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 349, 224, 750, 624 i.e. 1 largest integer that divides all the numbers equally.
GCD of 349, 224, 750, 624 is 1
GCD(349, 224, 750, 624) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 349, 224, 750, 624 is 1
GCD(349, 224, 750, 624) = 1
Given Input numbers are 349, 224, 750, 624
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
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 349, 224, 750, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 224, 750, 624 is 1.
Therefore, GCD of numbers 349, 224, 750, 624 is 1
Given Input Data is 349, 224, 750, 624
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 349 is 349
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
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(349, 224) = 78176
GCD(349, 224) = ( 349 x 224 ) / 78176
GCD(349, 224) = 78176 / 78176
GCD(349, 224) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 750
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 750) = 750
GCD(1, 750) = ( 1 x 750 ) / 750
GCD(1, 750) = 750 / 750
GCD(1, 750) = 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 349, 224, 750, 624 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 349, 224, 750, 624?
GCD of 349, 224, 750, 624 is 1
2. Where do I get the detailed procedure to find GCD of 349, 224, 750, 624?
You can find a detailed procedure to find GCD of 349, 224, 750, 624 on our page.
3. How to find GCD of 349, 224, 750, 624 on a calculator?
You can find the GCD of 349, 224, 750, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.