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 68, 715, 674, 470 i.e. 1 largest integer that divides all the numbers equally.
GCD of 68, 715, 674, 470 is 1
GCD(68, 715, 674, 470) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 68, 715, 674, 470 is 1
GCD(68, 715, 674, 470) = 1
Given Input numbers are 68, 715, 674, 470
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Greatest Common Divisior
We found the divisors of 68, 715, 674, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 715, 674, 470 is 1.
Therefore, GCD of numbers 68, 715, 674, 470 is 1
Given Input Data is 68, 715, 674, 470
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 674 is 2 x 337
Prime Factorization of 470 is 2 x 5 x 47
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(68, 715) = 48620
GCD(68, 715) = ( 68 x 715 ) / 48620
GCD(68, 715) = 48620 / 48620
GCD(68, 715) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 674
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 674) = 674
GCD(1, 674) = ( 1 x 674 ) / 674
GCD(1, 674) = 674 / 674
GCD(1, 674) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 470
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 470) = 470
GCD(1, 470) = ( 1 x 470 ) / 470
GCD(1, 470) = 470 / 470
GCD(1, 470) = 1
GCD of 68, 715, 674, 470 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 68, 715, 674, 470?
GCD of 68, 715, 674, 470 is 1
2. Where do I get the detailed procedure to find GCD of 68, 715, 674, 470?
You can find a detailed procedure to find GCD of 68, 715, 674, 470 on our page.
3. How to find GCD of 68, 715, 674, 470 on a calculator?
You can find the GCD of 68, 715, 674, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.