GCD of 642, 868, 649 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 642, 868, 649 i.e. 1 largest integer that divides all the numbers equally.
GCD of 642, 868, 649 is 1
GCD(642, 868, 649) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 642, 868, 649 is 1
GCD(642, 868, 649) = 1
GCDof 642,868,649 is 1
Given Input numbers are 642, 868, 649
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Greatest Common Divisior
We found the divisors of 642, 868, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 868, 649 is 1.
Therefore, GCD of numbers 642, 868, 649 is 1
Given Input Data is 642, 868, 649
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 868 is 2 x 2 x 7 x 31
Prime Factorization of 649 is 11 x 59
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 642, 868, 649 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(642, 868) = 278628
GCD(642, 868) = ( 642 x 868 ) / 278628
GCD(642, 868) = 557256 / 278628
GCD(642, 868) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 649) = 1298
GCD(2, 649) = ( 2 x 649 ) / 1298
GCD(2, 649) = 1298 / 1298
GCD(2, 649) = 1
GCD of 642, 868, 649 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 642, 868, 649
1. What is the GCD of 642, 868, 649?
GCD of 642, 868, 649 is 1
2. Where do I get the detailed procedure to find GCD of 642, 868, 649?
You can find a detailed procedure to find GCD of 642, 868, 649 on our page.
3. How to find GCD of 642, 868, 649 on a calculator?
You can find the GCD of 642, 868, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.