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 473, 847, 736, 737 i.e. 1 largest integer that divides all the numbers equally.
GCD of 473, 847, 736, 737 is 1
GCD(473, 847, 736, 737) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 473, 847, 736, 737 is 1
GCD(473, 847, 736, 737) = 1
Given Input numbers are 473, 847, 736, 737
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
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 473, 847, 736, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 473, 847, 736, 737 is 1.
Therefore, GCD of numbers 473, 847, 736, 737 is 1
Given Input Data is 473, 847, 736, 737
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 473 is 11 x 43
Prime Factorization of 847 is 7 x 11 x 11
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
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(473, 847) = 36421
GCD(473, 847) = ( 473 x 847 ) / 36421
GCD(473, 847) = 400631 / 36421
GCD(473, 847) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 736) = 8096
GCD(11, 736) = ( 11 x 736 ) / 8096
GCD(11, 736) = 8096 / 8096
GCD(11, 736) = 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 473, 847, 736, 737 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 473, 847, 736, 737?
GCD of 473, 847, 736, 737 is 1
2. Where do I get the detailed procedure to find GCD of 473, 847, 736, 737?
You can find a detailed procedure to find GCD of 473, 847, 736, 737 on our page.
3. How to find GCD of 473, 847, 736, 737 on a calculator?
You can find the GCD of 473, 847, 736, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.