GCD of 224, 712, 318 Calculator
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 224, 712, 318 i.e. 2 largest integer that divides all the numbers equally.
GCD of 224, 712, 318 is 2
GCD(224, 712, 318) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 224, 712, 318 is 2
GCD(224, 712, 318) = 2
GCDof 224,712,318 is 2
Given Input numbers are 224, 712, 318
To find the GCD of numbers using factoring list out all the divisors of each number
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 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Greatest Common Divisior
We found the divisors of 224, 712, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 712, 318 is 2.
Therefore, GCD of numbers 224, 712, 318 is 2
Given Input Data is 224, 712, 318
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 318 is 2 x 3 x 53
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 224, 712, 318 using LCM Formula
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(224, 712) = 19936
GCD(224, 712) = ( 224 x 712 ) / 19936
GCD(224, 712) = 159488 / 19936
GCD(224, 712) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 318) = 1272
GCD(8, 318) = ( 8 x 318 ) / 1272
GCD(8, 318) = 2544 / 1272
GCD(8, 318) = 2
GCD of 224, 712, 318 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 224, 712, 318
1. What is the GCD of 224, 712, 318?
GCD of 224, 712, 318 is 2
2. Where do I get the detailed procedure to find GCD of 224, 712, 318?
You can find a detailed procedure to find GCD of 224, 712, 318 on our page.
3. How to find GCD of 224, 712, 318 on a calculator?
You can find the GCD of 224, 712, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
