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 724, 350, 16, 634 i.e. 2 largest integer that divides all the numbers equally.
GCD of 724, 350, 16, 634 is 2
GCD(724, 350, 16, 634) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 350, 16, 634 is 2
GCD(724, 350, 16, 634) = 2
Given Input numbers are 724, 350, 16, 634
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
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 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Greatest Common Divisior
We found the divisors of 724, 350, 16, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 350, 16, 634 is 2.
Therefore, GCD of numbers 724, 350, 16, 634 is 2
Given Input Data is 724, 350, 16, 634
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 634 is 2 x 317
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(724, 350) = 126700
GCD(724, 350) = ( 724 x 350 ) / 126700
GCD(724, 350) = 253400 / 126700
GCD(724, 350) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 16) = 16
GCD(2, 16) = ( 2 x 16 ) / 16
GCD(2, 16) = 32 / 16
GCD(2, 16) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 634
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 634) = 634
GCD(2, 634) = ( 2 x 634 ) / 634
GCD(2, 634) = 1268 / 634
GCD(2, 634) = 2
GCD of 724, 350, 16, 634 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 350, 16, 634?
GCD of 724, 350, 16, 634 is 2
2. Where do I get the detailed procedure to find GCD of 724, 350, 16, 634?
You can find a detailed procedure to find GCD of 724, 350, 16, 634 on our page.
3. How to find GCD of 724, 350, 16, 634 on a calculator?
You can find the GCD of 724, 350, 16, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.