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, 452, 462, 278 i.e. 2 largest integer that divides all the numbers equally.
GCD of 724, 452, 462, 278 is 2
GCD(724, 452, 462, 278) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 452, 462, 278 is 2
GCD(724, 452, 462, 278) = 2
Given Input numbers are 724, 452, 462, 278
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 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Greatest Common Divisior
We found the divisors of 724, 452, 462, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 452, 462, 278 is 2.
Therefore, GCD of numbers 724, 452, 462, 278 is 2
Given Input Data is 724, 452, 462, 278
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 452 is 2 x 2 x 113
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 278 is 2 x 139
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, 452) = 81812
GCD(724, 452) = ( 724 x 452 ) / 81812
GCD(724, 452) = 327248 / 81812
GCD(724, 452) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 462) = 924
GCD(4, 462) = ( 4 x 462 ) / 924
GCD(4, 462) = 1848 / 924
GCD(4, 462) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 278) = 278
GCD(2, 278) = ( 2 x 278 ) / 278
GCD(2, 278) = 556 / 278
GCD(2, 278) = 2
GCD of 724, 452, 462, 278 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 452, 462, 278?
GCD of 724, 452, 462, 278 is 2
2. Where do I get the detailed procedure to find GCD of 724, 452, 462, 278?
You can find a detailed procedure to find GCD of 724, 452, 462, 278 on our page.
3. How to find GCD of 724, 452, 462, 278 on a calculator?
You can find the GCD of 724, 452, 462, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.