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 403, 974, 47, 735 i.e. 1 largest integer that divides all the numbers equally.
GCD of 403, 974, 47, 735 is 1
GCD(403, 974, 47, 735) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 403, 974, 47, 735 is 1
GCD(403, 974, 47, 735) = 1
Given Input numbers are 403, 974, 47, 735
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Greatest Common Divisior
We found the divisors of 403, 974, 47, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 403, 974, 47, 735 is 1.
Therefore, GCD of numbers 403, 974, 47, 735 is 1
Given Input Data is 403, 974, 47, 735
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 403 is 13 x 31
Prime Factorization of 974 is 2 x 487
Prime Factorization of 47 is 47
Prime Factorization of 735 is 3 x 5 x 7 x 7
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(403, 974) = 392522
GCD(403, 974) = ( 403 x 974 ) / 392522
GCD(403, 974) = 392522 / 392522
GCD(403, 974) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 735
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
GCD(1, 735) = 735 / 735
GCD(1, 735) = 1
GCD of 403, 974, 47, 735 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 403, 974, 47, 735?
GCD of 403, 974, 47, 735 is 1
2. Where do I get the detailed procedure to find GCD of 403, 974, 47, 735?
You can find a detailed procedure to find GCD of 403, 974, 47, 735 on our page.
3. How to find GCD of 403, 974, 47, 735 on a calculator?
You can find the GCD of 403, 974, 47, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.