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, 142, 926 i.e. 2 largest integer that divides all the numbers equally.
GCD of 224, 142, 926 is 2
GCD(224, 142, 926) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 224, 142, 926 is 2
GCD(224, 142, 926) = 2
Given Input numbers are 224, 142, 926
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 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Greatest Common Divisior
We found the divisors of 224, 142, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 142, 926 is 2.
Therefore, GCD of numbers 224, 142, 926 is 2
Given Input Data is 224, 142, 926
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 142 is 2 x 71
Prime Factorization of 926 is 2 x 463
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(224, 142) = 15904
GCD(224, 142) = ( 224 x 142 ) / 15904
GCD(224, 142) = 31808 / 15904
GCD(224, 142) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 926
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 926) = 926
GCD(2, 926) = ( 2 x 926 ) / 926
GCD(2, 926) = 1852 / 926
GCD(2, 926) = 2
GCD of 224, 142, 926 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 224, 142, 926?
GCD of 224, 142, 926 is 2
2. Where do I get the detailed procedure to find GCD of 224, 142, 926?
You can find a detailed procedure to find GCD of 224, 142, 926 on our page.
3. How to find GCD of 224, 142, 926 on a calculator?
You can find the GCD of 224, 142, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.