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, 765, 297, 716 i.e. 1 largest integer that divides all the numbers equally.
GCD of 674, 765, 297, 716 is 1
GCD(674, 765, 297, 716) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 674, 765, 297, 716 is 1
GCD(674, 765, 297, 716) = 1
Given Input numbers are 674, 765, 297, 716
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 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Greatest Common Divisior
We found the divisors of 674, 765, 297, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 765, 297, 716 is 1.
Therefore, GCD of numbers 674, 765, 297, 716 is 1
Given Input Data is 674, 765, 297, 716
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 674 is 2 x 337
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 297 is 3 x 3 x 3 x 11
Prime Factorization of 716 is 2 x 2 x 179
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(674, 765) = 515610
GCD(674, 765) = ( 674 x 765 ) / 515610
GCD(674, 765) = 515610 / 515610
GCD(674, 765) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 297
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 297) = 297
GCD(1, 297) = ( 1 x 297 ) / 297
GCD(1, 297) = 297 / 297
GCD(1, 297) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 716
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 716) = 716
GCD(1, 716) = ( 1 x 716 ) / 716
GCD(1, 716) = 716 / 716
GCD(1, 716) = 1
GCD of 674, 765, 297, 716 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 674, 765, 297, 716?
GCD of 674, 765, 297, 716 is 1
2. Where do I get the detailed procedure to find GCD of 674, 765, 297, 716?
You can find a detailed procedure to find GCD of 674, 765, 297, 716 on our page.
3. How to find GCD of 674, 765, 297, 716 on a calculator?
You can find the GCD of 674, 765, 297, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.