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 731, 470, 61, 430 i.e. 1 largest integer that divides all the numbers equally.
GCD of 731, 470, 61, 430 is 1
GCD(731, 470, 61, 430) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 731, 470, 61, 430 is 1
GCD(731, 470, 61, 430) = 1
Given Input numbers are 731, 470, 61, 430
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Greatest Common Divisior
We found the divisors of 731, 470, 61, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 470, 61, 430 is 1.
Therefore, GCD of numbers 731, 470, 61, 430 is 1
Given Input Data is 731, 470, 61, 430
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 731 is 17 x 43
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 61 is 61
Prime Factorization of 430 is 2 x 5 x 43
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(731, 470) = 343570
GCD(731, 470) = ( 731 x 470 ) / 343570
GCD(731, 470) = 343570 / 343570
GCD(731, 470) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 430
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 430) = 430
GCD(1, 430) = ( 1 x 430 ) / 430
GCD(1, 430) = 430 / 430
GCD(1, 430) = 1
GCD of 731, 470, 61, 430 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 731, 470, 61, 430?
GCD of 731, 470, 61, 430 is 1
2. Where do I get the detailed procedure to find GCD of 731, 470, 61, 430?
You can find a detailed procedure to find GCD of 731, 470, 61, 430 on our page.
3. How to find GCD of 731, 470, 61, 430 on a calculator?
You can find the GCD of 731, 470, 61, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.