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 703, 646, 45, 737 i.e. 1 largest integer that divides all the numbers equally.
GCD of 703, 646, 45, 737 is 1
GCD(703, 646, 45, 737) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 703, 646, 45, 737 is 1
GCD(703, 646, 45, 737) = 1
Given Input numbers are 703, 646, 45, 737
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Greatest Common Divisior
We found the divisors of 703, 646, 45, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 703, 646, 45, 737 is 1.
Therefore, GCD of numbers 703, 646, 45, 737 is 1
Given Input Data is 703, 646, 45, 737
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 703 is 19 x 37
Prime Factorization of 646 is 2 x 17 x 19
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 737 is 11 x 67
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(703, 646) = 23902
GCD(703, 646) = ( 703 x 646 ) / 23902
GCD(703, 646) = 454138 / 23902
GCD(703, 646) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 45) = 855
GCD(19, 45) = ( 19 x 45 ) / 855
GCD(19, 45) = 855 / 855
GCD(19, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 737) = 737
GCD(1, 737) = ( 1 x 737 ) / 737
GCD(1, 737) = 737 / 737
GCD(1, 737) = 1
GCD of 703, 646, 45, 737 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 703, 646, 45, 737?
GCD of 703, 646, 45, 737 is 1
2. Where do I get the detailed procedure to find GCD of 703, 646, 45, 737?
You can find a detailed procedure to find GCD of 703, 646, 45, 737 on our page.
3. How to find GCD of 703, 646, 45, 737 on a calculator?
You can find the GCD of 703, 646, 45, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.