GCD of 676, 652, 299 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 676, 652, 299 i.e. 1 largest integer that divides all the numbers equally.
GCD of 676, 652, 299 is 1
GCD(676, 652, 299) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 676, 652, 299 is 1
GCD(676, 652, 299) = 1
GCDof 676,652,299 is 1
Given Input numbers are 676, 652, 299
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Greatest Common Divisior
We found the divisors of 676, 652, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 652, 299 is 1.
Therefore, GCD of numbers 676, 652, 299 is 1
Given Input Data is 676, 652, 299
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 299 is 13 x 23
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 676, 652, 299 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(676, 652) = 110188
GCD(676, 652) = ( 676 x 652 ) / 110188
GCD(676, 652) = 440752 / 110188
GCD(676, 652) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 299
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 299) = 1196
GCD(4, 299) = ( 4 x 299 ) / 1196
GCD(4, 299) = 1196 / 1196
GCD(4, 299) = 1
GCD of 676, 652, 299 is 1
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FAQs on GCD of numbers 676, 652, 299
1. What is the GCD of 676, 652, 299?
GCD of 676, 652, 299 is 1
2. Where do I get the detailed procedure to find GCD of 676, 652, 299?
You can find a detailed procedure to find GCD of 676, 652, 299 on our page.
3. How to find GCD of 676, 652, 299 on a calculator?
You can find the GCD of 676, 652, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.