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 436, 302, 58, 342 i.e. 2 largest integer that divides all the numbers equally.
GCD of 436, 302, 58, 342 is 2
GCD(436, 302, 58, 342) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 436, 302, 58, 342 is 2
GCD(436, 302, 58, 342) = 2
Given Input numbers are 436, 302, 58, 342
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
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
Greatest Common Divisior
We found the divisors of 436, 302, 58, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 302, 58, 342 is 2.
Therefore, GCD of numbers 436, 302, 58, 342 is 2
Given Input Data is 436, 302, 58, 342
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 436 is 2 x 2 x 109
Prime Factorization of 302 is 2 x 151
Prime Factorization of 58 is 2 x 29
Prime Factorization of 342 is 2 x 3 x 3 x 19
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(436, 302) = 65836
GCD(436, 302) = ( 436 x 302 ) / 65836
GCD(436, 302) = 131672 / 65836
GCD(436, 302) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 58) = 58
GCD(2, 58) = ( 2 x 58 ) / 58
GCD(2, 58) = 116 / 58
GCD(2, 58) = 2
Step3:
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
GCD of 436, 302, 58, 342 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 436, 302, 58, 342?
GCD of 436, 302, 58, 342 is 2
2. Where do I get the detailed procedure to find GCD of 436, 302, 58, 342?
You can find a detailed procedure to find GCD of 436, 302, 58, 342 on our page.
3. How to find GCD of 436, 302, 58, 342 on a calculator?
You can find the GCD of 436, 302, 58, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.