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 608, 584, 974, 338 i.e. 2 largest integer that divides all the numbers equally.
GCD of 608, 584, 974, 338 is 2
GCD(608, 584, 974, 338) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 608, 584, 974, 338 is 2
GCD(608, 584, 974, 338) = 2
Given Input numbers are 608, 584, 974, 338
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Greatest Common Divisior
We found the divisors of 608, 584, 974, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 608, 584, 974, 338 is 2.
Therefore, GCD of numbers 608, 584, 974, 338 is 2
Given Input Data is 608, 584, 974, 338
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
Prime Factorization of 584 is 2 x 2 x 2 x 73
Prime Factorization of 974 is 2 x 487
Prime Factorization of 338 is 2 x 13 x 13
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(608, 584) = 44384
GCD(608, 584) = ( 608 x 584 ) / 44384
GCD(608, 584) = 355072 / 44384
GCD(608, 584) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 974
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 974) = 3896
GCD(8, 974) = ( 8 x 974 ) / 3896
GCD(8, 974) = 7792 / 3896
GCD(8, 974) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 338
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 338) = 338
GCD(2, 338) = ( 2 x 338 ) / 338
GCD(2, 338) = 676 / 338
GCD(2, 338) = 2
GCD of 608, 584, 974, 338 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 608, 584, 974, 338?
GCD of 608, 584, 974, 338 is 2
2. Where do I get the detailed procedure to find GCD of 608, 584, 974, 338?
You can find a detailed procedure to find GCD of 608, 584, 974, 338 on our page.
3. How to find GCD of 608, 584, 974, 338 on a calculator?
You can find the GCD of 608, 584, 974, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.