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, 984, 348, 946 i.e. 1 largest integer that divides all the numbers equally.
GCD of 731, 984, 348, 946 is 1
GCD(731, 984, 348, 946) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 731, 984, 348, 946 is 1
GCD(731, 984, 348, 946) = 1
Given Input numbers are 731, 984, 348, 946
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 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Greatest Common Divisior
We found the divisors of 731, 984, 348, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 984, 348, 946 is 1.
Therefore, GCD of numbers 731, 984, 348, 946 is 1
Given Input Data is 731, 984, 348, 946
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 731 is 17 x 43
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 946 is 2 x 11 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, 984) = 719304
GCD(731, 984) = ( 731 x 984 ) / 719304
GCD(731, 984) = 719304 / 719304
GCD(731, 984) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 348
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 348) = 348
GCD(1, 348) = ( 1 x 348 ) / 348
GCD(1, 348) = 348 / 348
GCD(1, 348) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 946) = 946
GCD(1, 946) = ( 1 x 946 ) / 946
GCD(1, 946) = 946 / 946
GCD(1, 946) = 1
GCD of 731, 984, 348, 946 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 731, 984, 348, 946?
GCD of 731, 984, 348, 946 is 1
2. Where do I get the detailed procedure to find GCD of 731, 984, 348, 946?
You can find a detailed procedure to find GCD of 731, 984, 348, 946 on our page.
3. How to find GCD of 731, 984, 348, 946 on a calculator?
You can find the GCD of 731, 984, 348, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.