GCD of 286, 272, 765 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 286, 272, 765 i.e. 1 largest integer that divides all the numbers equally.
GCD of 286, 272, 765 is 1
GCD(286, 272, 765) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 286, 272, 765 is 1
GCD(286, 272, 765) = 1
GCDof 286,272,765 is 1
Given Input numbers are 286, 272, 765
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Greatest Common Divisior
We found the divisors of 286, 272, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 272, 765 is 1.
Therefore, GCD of numbers 286, 272, 765 is 1
Given Input Data is 286, 272, 765
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 286 is 2 x 11 x 13
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 765 is 3 x 3 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 286, 272, 765 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(286, 272) = 38896
GCD(286, 272) = ( 286 x 272 ) / 38896
GCD(286, 272) = 77792 / 38896
GCD(286, 272) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 765
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 765) = 1530
GCD(2, 765) = ( 2 x 765 ) / 1530
GCD(2, 765) = 1530 / 1530
GCD(2, 765) = 1
GCD of 286, 272, 765 is 1
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FAQs on GCD of numbers 286, 272, 765
1. What is the GCD of 286, 272, 765?
GCD of 286, 272, 765 is 1
2. Where do I get the detailed procedure to find GCD of 286, 272, 765?
You can find a detailed procedure to find GCD of 286, 272, 765 on our page.
3. How to find GCD of 286, 272, 765 on a calculator?
You can find the GCD of 286, 272, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.