GCD of 680, 888, 45 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, 888, 45 i.e. 1 largest integer that divides all the numbers equally.
GCD of 680, 888, 45 is 1
GCD(680, 888, 45) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 680, 888, 45 is 1
GCD(680, 888, 45) = 1
GCDof 680,888,45 is 1
Given Input numbers are 680, 888, 45
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 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Greatest Common Divisior
We found the divisors of 680, 888, 45 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 888, 45 is 1.
Therefore, GCD of numbers 680, 888, 45 is 1
Given Input Data is 680, 888, 45
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 888 is 2 x 2 x 2 x 3 x 37
Prime Factorization of 45 is 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 680, 888, 45 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, 888) = 75480
GCD(680, 888) = ( 680 x 888 ) / 75480
GCD(680, 888) = 603840 / 75480
GCD(680, 888) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 45) = 360
GCD(8, 45) = ( 8 x 45 ) / 360
GCD(8, 45) = 360 / 360
GCD(8, 45) = 1
GCD of 680, 888, 45 is 1
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FAQs on GCD of numbers 680, 888, 45
1. What is the GCD of 680, 888, 45?
GCD of 680, 888, 45 is 1
2. Where do I get the detailed procedure to find GCD of 680, 888, 45?
You can find a detailed procedure to find GCD of 680, 888, 45 on our page.
3. How to find GCD of 680, 888, 45 on a calculator?
You can find the GCD of 680, 888, 45 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.