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 15, 694, 703, 974 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 694, 703, 974 is 1
GCD(15, 694, 703, 974) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 694, 703, 974 is 1
GCD(15, 694, 703, 974) = 1
Given Input numbers are 15, 694, 703, 974
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Greatest Common Divisior
We found the divisors of 15, 694, 703, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 694, 703, 974 is 1.
Therefore, GCD of numbers 15, 694, 703, 974 is 1
Given Input Data is 15, 694, 703, 974
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 694 is 2 x 347
Prime Factorization of 703 is 19 x 37
Prime Factorization of 974 is 2 x 487
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(15, 694) = 10410
GCD(15, 694) = ( 15 x 694 ) / 10410
GCD(15, 694) = 10410 / 10410
GCD(15, 694) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 703
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 703) = 703
GCD(1, 703) = ( 1 x 703 ) / 703
GCD(1, 703) = 703 / 703
GCD(1, 703) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 974
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 974) = 974
GCD(1, 974) = ( 1 x 974 ) / 974
GCD(1, 974) = 974 / 974
GCD(1, 974) = 1
GCD of 15, 694, 703, 974 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 694, 703, 974?
GCD of 15, 694, 703, 974 is 1
2. Where do I get the detailed procedure to find GCD of 15, 694, 703, 974?
You can find a detailed procedure to find GCD of 15, 694, 703, 974 on our page.
3. How to find GCD of 15, 694, 703, 974 on a calculator?
You can find the GCD of 15, 694, 703, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.