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 610, 917, 734, 374 i.e. 1 largest integer that divides all the numbers equally.
GCD of 610, 917, 734, 374 is 1
GCD(610, 917, 734, 374) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 610, 917, 734, 374 is 1
GCD(610, 917, 734, 374) = 1
Given Input numbers are 610, 917, 734, 374
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 610
List of positive integer divisors of 610 that divides 610 without a remainder.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Greatest Common Divisior
We found the divisors of 610, 917, 734, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 917, 734, 374 is 1.
Therefore, GCD of numbers 610, 917, 734, 374 is 1
Given Input Data is 610, 917, 734, 374
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 610 is 2 x 5 x 61
Prime Factorization of 917 is 7 x 131
Prime Factorization of 734 is 2 x 367
Prime Factorization of 374 is 2 x 11 x 17
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(610, 917) = 559370
GCD(610, 917) = ( 610 x 917 ) / 559370
GCD(610, 917) = 559370 / 559370
GCD(610, 917) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 734
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 734) = 734
GCD(1, 734) = ( 1 x 734 ) / 734
GCD(1, 734) = 734 / 734
GCD(1, 734) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 374) = 374
GCD(1, 374) = ( 1 x 374 ) / 374
GCD(1, 374) = 374 / 374
GCD(1, 374) = 1
GCD of 610, 917, 734, 374 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 610, 917, 734, 374?
GCD of 610, 917, 734, 374 is 1
2. Where do I get the detailed procedure to find GCD of 610, 917, 734, 374?
You can find a detailed procedure to find GCD of 610, 917, 734, 374 on our page.
3. How to find GCD of 610, 917, 734, 374 on a calculator?
You can find the GCD of 610, 917, 734, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.