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 588, 942, 73, 282 i.e. 1 largest integer that divides all the numbers equally.
GCD of 588, 942, 73, 282 is 1
GCD(588, 942, 73, 282) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 588, 942, 73, 282 is 1
GCD(588, 942, 73, 282) = 1
Given Input numbers are 588, 942, 73, 282
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
Greatest Common Divisior
We found the divisors of 588, 942, 73, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 942, 73, 282 is 1.
Therefore, GCD of numbers 588, 942, 73, 282 is 1
Given Input Data is 588, 942, 73, 282
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 73 is 73
Prime Factorization of 282 is 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(588, 942) = 92316
GCD(588, 942) = ( 588 x 942 ) / 92316
GCD(588, 942) = 553896 / 92316
GCD(588, 942) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 73) = 438
GCD(6, 73) = ( 6 x 73 ) / 438
GCD(6, 73) = 438 / 438
GCD(6, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 282
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 282) = 282
GCD(1, 282) = ( 1 x 282 ) / 282
GCD(1, 282) = 282 / 282
GCD(1, 282) = 1
GCD of 588, 942, 73, 282 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 588, 942, 73, 282?
GCD of 588, 942, 73, 282 is 1
2. Where do I get the detailed procedure to find GCD of 588, 942, 73, 282?
You can find a detailed procedure to find GCD of 588, 942, 73, 282 on our page.
3. How to find GCD of 588, 942, 73, 282 on a calculator?
You can find the GCD of 588, 942, 73, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.