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 639, 651, 690, 444 i.e. 3 largest integer that divides all the numbers equally.
GCD of 639, 651, 690, 444 is 3
GCD(639, 651, 690, 444) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 639, 651, 690, 444 is 3
GCD(639, 651, 690, 444) = 3
Given Input numbers are 639, 651, 690, 444
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 639
List of positive integer divisors of 639 that divides 639 without a remainder.
1, 3, 9, 71, 213, 639
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Greatest Common Divisior
We found the divisors of 639, 651, 690, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 639, 651, 690, 444 is 3.
Therefore, GCD of numbers 639, 651, 690, 444 is 3
Given Input Data is 639, 651, 690, 444
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 639 is 3 x 3 x 71
Prime Factorization of 651 is 3 x 7 x 31
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 444 is 2 x 2 x 3 x 37
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(639, 651) = 138663
GCD(639, 651) = ( 639 x 651 ) / 138663
GCD(639, 651) = 415989 / 138663
GCD(639, 651) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 690
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 690) = 690
GCD(3, 690) = ( 3 x 690 ) / 690
GCD(3, 690) = 2070 / 690
GCD(3, 690) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 444
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 444) = 444
GCD(3, 444) = ( 3 x 444 ) / 444
GCD(3, 444) = 1332 / 444
GCD(3, 444) = 3
GCD of 639, 651, 690, 444 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 639, 651, 690, 444?
GCD of 639, 651, 690, 444 is 3
2. Where do I get the detailed procedure to find GCD of 639, 651, 690, 444?
You can find a detailed procedure to find GCD of 639, 651, 690, 444 on our page.
3. How to find GCD of 639, 651, 690, 444 on a calculator?
You can find the GCD of 639, 651, 690, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.