GCD of 488, 570, 351 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 488, 570, 351 i.e. 1 largest integer that divides all the numbers equally.
GCD of 488, 570, 351 is 1
GCD(488, 570, 351) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 488, 570, 351 is 1
GCD(488, 570, 351) = 1
GCDof 488,570,351 is 1
Given Input numbers are 488, 570, 351
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 570
List of positive integer divisors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Greatest Common Divisior
We found the divisors of 488, 570, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 570, 351 is 1.
Therefore, GCD of numbers 488, 570, 351 is 1
Given Input Data is 488, 570, 351
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 570 is 2 x 3 x 5 x 19
Prime Factorization of 351 is 3 x 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 488, 570, 351 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(488, 570) = 139080
GCD(488, 570) = ( 488 x 570 ) / 139080
GCD(488, 570) = 278160 / 139080
GCD(488, 570) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 351
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 351) = 702
GCD(2, 351) = ( 2 x 351 ) / 702
GCD(2, 351) = 702 / 702
GCD(2, 351) = 1
GCD of 488, 570, 351 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 488, 570, 351
1. What is the GCD of 488, 570, 351?
GCD of 488, 570, 351 is 1
2. Where do I get the detailed procedure to find GCD of 488, 570, 351?
You can find a detailed procedure to find GCD of 488, 570, 351 on our page.
3. How to find GCD of 488, 570, 351 on a calculator?
You can find the GCD of 488, 570, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.