GCD of 720, 574, 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 720, 574, 58 i.e. 2 largest integer that divides all the numbers equally.
GCD of 720, 574, 58 is 2
GCD(720, 574, 58) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 574, 58 is 2
GCD(720, 574, 58) = 2
GCDof 720,574,58 is 2
Given Input numbers are 720, 574, 58
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
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 720, 574, 58 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 574, 58 is 2.
Therefore, GCD of numbers 720, 574, 58 is 2
Given Input Data is 720, 574, 58
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 574 is 2 x 7 x 41
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 720, 574, 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(720, 574) = 206640
GCD(720, 574) = ( 720 x 574 ) / 206640
GCD(720, 574) = 413280 / 206640
GCD(720, 574) = 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
GCD of 720, 574, 58 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 720, 574, 58
1. What is the GCD of 720, 574, 58?
GCD of 720, 574, 58 is 2
2. Where do I get the detailed procedure to find GCD of 720, 574, 58?
You can find a detailed procedure to find GCD of 720, 574, 58 on our page.
3. How to find GCD of 720, 574, 58 on a calculator?
You can find the GCD of 720, 574, 58 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
