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, 674, 319, 753 i.e. 1 largest integer that divides all the numbers equally.
GCD of 608, 674, 319, 753 is 1
GCD(608, 674, 319, 753) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 608, 674, 319, 753 is 1
GCD(608, 674, 319, 753) = 1
Given Input numbers are 608, 674, 319, 753
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 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Greatest Common Divisior
We found the divisors of 608, 674, 319, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 608, 674, 319, 753 is 1.
Therefore, GCD of numbers 608, 674, 319, 753 is 1
Given Input Data is 608, 674, 319, 753
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 674 is 2 x 337
Prime Factorization of 319 is 11 x 29
Prime Factorization of 753 is 3 x 251
The above numbers do not have any common prime factor. So GCD is 1
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, 674) = 204896
GCD(608, 674) = ( 608 x 674 ) / 204896
GCD(608, 674) = 409792 / 204896
GCD(608, 674) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 319
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 319) = 638
GCD(2, 319) = ( 2 x 319 ) / 638
GCD(2, 319) = 638 / 638
GCD(2, 319) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 753) = 753
GCD(1, 753) = ( 1 x 753 ) / 753
GCD(1, 753) = 753 / 753
GCD(1, 753) = 1
GCD of 608, 674, 319, 753 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 608, 674, 319, 753?
GCD of 608, 674, 319, 753 is 1
2. Where do I get the detailed procedure to find GCD of 608, 674, 319, 753?
You can find a detailed procedure to find GCD of 608, 674, 319, 753 on our page.
3. How to find GCD of 608, 674, 319, 753 on a calculator?
You can find the GCD of 608, 674, 319, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.