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 674, 524, 84 i.e. 2 largest integer that divides all the numbers equally.
GCD of 674, 524, 84 is 2
GCD(674, 524, 84) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 674, 524, 84 is 2
GCD(674, 524, 84) = 2
Given Input numbers are 674, 524, 84
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Greatest Common Divisior
We found the divisors of 674, 524, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 524, 84 is 2.
Therefore, GCD of numbers 674, 524, 84 is 2
Given Input Data is 674, 524, 84
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 674 is 2 x 337
Prime Factorization of 524 is 2 x 2 x 131
Prime Factorization of 84 is 2 x 2 x 3 x 7
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(674, 524) = 176588
GCD(674, 524) = ( 674 x 524 ) / 176588
GCD(674, 524) = 353176 / 176588
GCD(674, 524) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 84) = 84
GCD(2, 84) = ( 2 x 84 ) / 84
GCD(2, 84) = 168 / 84
GCD(2, 84) = 2
GCD of 674, 524, 84 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 674, 524, 84?
GCD of 674, 524, 84 is 2
2. Where do I get the detailed procedure to find GCD of 674, 524, 84?
You can find a detailed procedure to find GCD of 674, 524, 84 on our page.
3. How to find GCD of 674, 524, 84 on a calculator?
You can find the GCD of 674, 524, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.