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, 962, 84, 564 i.e. 1 largest integer that divides all the numbers equally.
GCD of 731, 962, 84, 564 is 1
GCD(731, 962, 84, 564) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 731, 962, 84, 564 is 1
GCD(731, 962, 84, 564) = 1
Given Input numbers are 731, 962, 84, 564
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 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Greatest Common Divisior
We found the divisors of 731, 962, 84, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 962, 84, 564 is 1.
Therefore, GCD of numbers 731, 962, 84, 564 is 1
Given Input Data is 731, 962, 84, 564
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 731 is 17 x 43
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 564 is 2 x 2 x 3 x 47
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, 962) = 703222
GCD(731, 962) = ( 731 x 962 ) / 703222
GCD(731, 962) = 703222 / 703222
GCD(731, 962) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 84) = 84
GCD(1, 84) = ( 1 x 84 ) / 84
GCD(1, 84) = 84 / 84
GCD(1, 84) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 564) = 564
GCD(1, 564) = ( 1 x 564 ) / 564
GCD(1, 564) = 564 / 564
GCD(1, 564) = 1
GCD of 731, 962, 84, 564 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 731, 962, 84, 564?
GCD of 731, 962, 84, 564 is 1
2. Where do I get the detailed procedure to find GCD of 731, 962, 84, 564?
You can find a detailed procedure to find GCD of 731, 962, 84, 564 on our page.
3. How to find GCD of 731, 962, 84, 564 on a calculator?
You can find the GCD of 731, 962, 84, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.