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, 696, 174, 588 i.e. 2 largest integer that divides all the numbers equally.
GCD of 674, 696, 174, 588 is 2
GCD(674, 696, 174, 588) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 674, 696, 174, 588 is 2
GCD(674, 696, 174, 588) = 2
Given Input numbers are 674, 696, 174, 588
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 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Greatest Common Divisior
We found the divisors of 674, 696, 174, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 696, 174, 588 is 2.
Therefore, GCD of numbers 674, 696, 174, 588 is 2
Given Input Data is 674, 696, 174, 588
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 674 is 2 x 337
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 174 is 2 x 3 x 29
Prime Factorization of 588 is 2 x 2 x 3 x 7 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, 696) = 234552
GCD(674, 696) = ( 674 x 696 ) / 234552
GCD(674, 696) = 469104 / 234552
GCD(674, 696) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 174
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 174) = 174
GCD(2, 174) = ( 2 x 174 ) / 174
GCD(2, 174) = 348 / 174
GCD(2, 174) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 588
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 588) = 588
GCD(2, 588) = ( 2 x 588 ) / 588
GCD(2, 588) = 1176 / 588
GCD(2, 588) = 2
GCD of 674, 696, 174, 588 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 674, 696, 174, 588?
GCD of 674, 696, 174, 588 is 2
2. Where do I get the detailed procedure to find GCD of 674, 696, 174, 588?
You can find a detailed procedure to find GCD of 674, 696, 174, 588 on our page.
3. How to find GCD of 674, 696, 174, 588 on a calculator?
You can find the GCD of 674, 696, 174, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.