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 46, 842, 342, 534 i.e. 2 largest integer that divides all the numbers equally.
GCD of 46, 842, 342, 534 is 2
GCD(46, 842, 342, 534) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 46, 842, 342, 534 is 2
GCD(46, 842, 342, 534) = 2
Given Input numbers are 46, 842, 342, 534
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Greatest Common Divisior
We found the divisors of 46, 842, 342, 534 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 842, 342, 534 is 2.
Therefore, GCD of numbers 46, 842, 342, 534 is 2
Given Input Data is 46, 842, 342, 534
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 46 is 2 x 23
Prime Factorization of 842 is 2 x 421
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 534 is 2 x 3 x 89
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(46, 842) = 19366
GCD(46, 842) = ( 46 x 842 ) / 19366
GCD(46, 842) = 38732 / 19366
GCD(46, 842) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 342
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 342) = 342
GCD(2, 342) = ( 2 x 342 ) / 342
GCD(2, 342) = 684 / 342
GCD(2, 342) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 534
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 534) = 534
GCD(2, 534) = ( 2 x 534 ) / 534
GCD(2, 534) = 1068 / 534
GCD(2, 534) = 2
GCD of 46, 842, 342, 534 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 46, 842, 342, 534?
GCD of 46, 842, 342, 534 is 2
2. Where do I get the detailed procedure to find GCD of 46, 842, 342, 534?
You can find a detailed procedure to find GCD of 46, 842, 342, 534 on our page.
3. How to find GCD of 46, 842, 342, 534 on a calculator?
You can find the GCD of 46, 842, 342, 534 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.