GCD of 352, 612, 58 Calculator
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 352, 612, 58 i.e. 2 largest integer that divides all the numbers equally.
GCD of 352, 612, 58 is 2
GCD(352, 612, 58) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 352, 612, 58 is 2
GCD(352, 612, 58) = 2
GCDof 352,612,58 is 2
Given Input numbers are 352, 612, 58
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Greatest Common Divisior
We found the divisors of 352, 612, 58 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 612, 58 is 2.
Therefore, GCD of numbers 352, 612, 58 is 2
Given Input Data is 352, 612, 58
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 58 is 2 x 29
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 352, 612, 58 using LCM Formula
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(352, 612) = 53856
GCD(352, 612) = ( 352 x 612 ) / 53856
GCD(352, 612) = 215424 / 53856
GCD(352, 612) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 58) = 116
GCD(4, 58) = ( 4 x 58 ) / 116
GCD(4, 58) = 232 / 116
GCD(4, 58) = 2
GCD of 352, 612, 58 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 352, 612, 58
1. What is the GCD of 352, 612, 58?
GCD of 352, 612, 58 is 2
2. Where do I get the detailed procedure to find GCD of 352, 612, 58?
You can find a detailed procedure to find GCD of 352, 612, 58 on our page.
3. How to find GCD of 352, 612, 58 on a calculator?
You can find the GCD of 352, 612, 58 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.