GCD of 680, 238, 527 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 680, 238, 527 i.e. 17 largest integer that divides all the numbers equally.
GCD of 680, 238, 527 is 17
GCD(680, 238, 527) = 17
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 680, 238, 527 is 17
GCD(680, 238, 527) = 17
GCDof 680,238,527 is 17
Given Input numbers are 680, 238, 527
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 527
List of positive integer divisors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Greatest Common Divisior
We found the divisors of 680, 238, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 238, 527 is 17.
Therefore, GCD of numbers 680, 238, 527 is 17
Given Input Data is 680, 238, 527
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 527 is 17 x 31
Highest common occurrences in the given inputs are 171
Multiplying them we get the GCD as 17
Finding GCD of 680, 238, 527 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(680, 238) = 4760
GCD(680, 238) = ( 680 x 238 ) / 4760
GCD(680, 238) = 161840 / 4760
GCD(680, 238) = 34
Step2:
Here we consider the GCD from the above i.e. 34 as first number and the next as 527
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(34, 527) = 1054
GCD(34, 527) = ( 34 x 527 ) / 1054
GCD(34, 527) = 17918 / 1054
GCD(34, 527) = 17
GCD of 680, 238, 527 is 17
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FAQs on GCD of numbers 680, 238, 527
1. What is the GCD of 680, 238, 527?
GCD of 680, 238, 527 is 17
2. Where do I get the detailed procedure to find GCD of 680, 238, 527?
You can find a detailed procedure to find GCD of 680, 238, 527 on our page.
3. How to find GCD of 680, 238, 527 on a calculator?
You can find the GCD of 680, 238, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.