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, 646, 86, 924 i.e. 2 largest integer that divides all the numbers equally.
GCD of 642, 646, 86, 924 is 2
GCD(642, 646, 86, 924) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 642, 646, 86, 924 is 2
GCD(642, 646, 86, 924) = 2
Given Input numbers are 642, 646, 86, 924
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 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Greatest Common Divisior
We found the divisors of 642, 646, 86, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 646, 86, 924 is 2.
Therefore, GCD of numbers 642, 646, 86, 924 is 2
Given Input Data is 642, 646, 86, 924
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 646 is 2 x 17 x 19
Prime Factorization of 86 is 2 x 43
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 646) = 207366
GCD(642, 646) = ( 642 x 646 ) / 207366
GCD(642, 646) = 414732 / 207366
GCD(642, 646) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 86) = 86
GCD(2, 86) = ( 2 x 86 ) / 86
GCD(2, 86) = 172 / 86
GCD(2, 86) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 924) = 924
GCD(2, 924) = ( 2 x 924 ) / 924
GCD(2, 924) = 1848 / 924
GCD(2, 924) = 2
GCD of 642, 646, 86, 924 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 642, 646, 86, 924?
GCD of 642, 646, 86, 924 is 2
2. Where do I get the detailed procedure to find GCD of 642, 646, 86, 924?
You can find a detailed procedure to find GCD of 642, 646, 86, 924 on our page.
3. How to find GCD of 642, 646, 86, 924 on a calculator?
You can find the GCD of 642, 646, 86, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.