GCD of 680, 632, 109 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, 632, 109 i.e. 1 largest integer that divides all the numbers equally.
GCD of 680, 632, 109 is 1
GCD(680, 632, 109) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 680, 632, 109 is 1
GCD(680, 632, 109) = 1
GCDof 680,632,109 is 1
Given Input numbers are 680, 632, 109
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 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Greatest Common Divisior
We found the divisors of 680, 632, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 632, 109 is 1.
Therefore, GCD of numbers 680, 632, 109 is 1
Given Input Data is 680, 632, 109
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 632 is 2 x 2 x 2 x 79
Prime Factorization of 109 is 109
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 680, 632, 109 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, 632) = 53720
GCD(680, 632) = ( 680 x 632 ) / 53720
GCD(680, 632) = 429760 / 53720
GCD(680, 632) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 109) = 872
GCD(8, 109) = ( 8 x 109 ) / 872
GCD(8, 109) = 872 / 872
GCD(8, 109) = 1
GCD of 680, 632, 109 is 1
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FAQs on GCD of numbers 680, 632, 109
1. What is the GCD of 680, 632, 109?
GCD of 680, 632, 109 is 1
2. Where do I get the detailed procedure to find GCD of 680, 632, 109?
You can find a detailed procedure to find GCD of 680, 632, 109 on our page.
3. How to find GCD of 680, 632, 109 on a calculator?
You can find the GCD of 680, 632, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.