GCD of 352, 714, 287 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, 714, 287 i.e. 1 largest integer that divides all the numbers equally.
GCD of 352, 714, 287 is 1
GCD(352, 714, 287) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 352, 714, 287 is 1
GCD(352, 714, 287) = 1
GCDof 352,714,287 is 1
Given Input numbers are 352, 714, 287
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 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 287
List of positive integer divisors of 287 that divides 287 without a remainder.
1, 7, 41, 287
Greatest Common Divisior
We found the divisors of 352, 714, 287 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 714, 287 is 1.
Therefore, GCD of numbers 352, 714, 287 is 1
Given Input Data is 352, 714, 287
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 714 is 2 x 3 x 7 x 17
Prime Factorization of 287 is 7 x 41
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 352, 714, 287 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, 714) = 125664
GCD(352, 714) = ( 352 x 714 ) / 125664
GCD(352, 714) = 251328 / 125664
GCD(352, 714) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 287
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 287) = 574
GCD(2, 287) = ( 2 x 287 ) / 574
GCD(2, 287) = 574 / 574
GCD(2, 287) = 1
GCD of 352, 714, 287 is 1
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FAQs on GCD of numbers 352, 714, 287
1. What is the GCD of 352, 714, 287?
GCD of 352, 714, 287 is 1
2. Where do I get the detailed procedure to find GCD of 352, 714, 287?
You can find a detailed procedure to find GCD of 352, 714, 287 on our page.
3. How to find GCD of 352, 714, 287 on a calculator?
You can find the GCD of 352, 714, 287 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.