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 734, 630, 974, 607 i.e. 1 largest integer that divides all the numbers equally.
GCD of 734, 630, 974, 607 is 1
GCD(734, 630, 974, 607) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 734, 630, 974, 607 is 1
GCD(734, 630, 974, 607) = 1
Given Input numbers are 734, 630, 974, 607
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 630
List of positive integer divisors of 630 that divides 630 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 607
List of positive integer divisors of 607 that divides 607 without a remainder.
1, 607
Greatest Common Divisior
We found the divisors of 734, 630, 974, 607 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 630, 974, 607 is 1.
Therefore, GCD of numbers 734, 630, 974, 607 is 1
Given Input Data is 734, 630, 974, 607
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 734 is 2 x 367
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
Prime Factorization of 974 is 2 x 487
Prime Factorization of 607 is 607
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(734, 630) = 231210
GCD(734, 630) = ( 734 x 630 ) / 231210
GCD(734, 630) = 462420 / 231210
GCD(734, 630) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 974
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 974) = 974
GCD(2, 974) = ( 2 x 974 ) / 974
GCD(2, 974) = 1948 / 974
GCD(2, 974) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 607
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 607) = 1214
GCD(2, 607) = ( 2 x 607 ) / 1214
GCD(2, 607) = 1214 / 1214
GCD(2, 607) = 1
GCD of 734, 630, 974, 607 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 734, 630, 974, 607?
GCD of 734, 630, 974, 607 is 1
2. Where do I get the detailed procedure to find GCD of 734, 630, 974, 607?
You can find a detailed procedure to find GCD of 734, 630, 974, 607 on our page.
3. How to find GCD of 734, 630, 974, 607 on a calculator?
You can find the GCD of 734, 630, 974, 607 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.