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 669, 564, 21, 612 i.e. 3 largest integer that divides all the numbers equally.
GCD of 669, 564, 21, 612 is 3
GCD(669, 564, 21, 612) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 669, 564, 21, 612 is 3
GCD(669, 564, 21, 612) = 3
Given Input numbers are 669, 564, 21, 612
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Greatest Common Divisior
We found the divisors of 669, 564, 21, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 669, 564, 21, 612 is 3.
Therefore, GCD of numbers 669, 564, 21, 612 is 3
Given Input Data is 669, 564, 21, 612
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 669 is 3 x 223
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 21 is 3 x 7
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(669, 564) = 125772
GCD(669, 564) = ( 669 x 564 ) / 125772
GCD(669, 564) = 377316 / 125772
GCD(669, 564) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 21) = 21
GCD(3, 21) = ( 3 x 21 ) / 21
GCD(3, 21) = 63 / 21
GCD(3, 21) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 612
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 612) = 612
GCD(3, 612) = ( 3 x 612 ) / 612
GCD(3, 612) = 1836 / 612
GCD(3, 612) = 3
GCD of 669, 564, 21, 612 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 669, 564, 21, 612?
GCD of 669, 564, 21, 612 is 3
2. Where do I get the detailed procedure to find GCD of 669, 564, 21, 612?
You can find a detailed procedure to find GCD of 669, 564, 21, 612 on our page.
3. How to find GCD of 669, 564, 21, 612 on a calculator?
You can find the GCD of 669, 564, 21, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.