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 612, 166, 390, 280 i.e. 2 largest integer that divides all the numbers equally.
GCD of 612, 166, 390, 280 is 2
GCD(612, 166, 390, 280) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 612, 166, 390, 280 is 2
GCD(612, 166, 390, 280) = 2
Given Input numbers are 612, 166, 390, 280
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Greatest Common Divisior
We found the divisors of 612, 166, 390, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 166, 390, 280 is 2.
Therefore, GCD of numbers 612, 166, 390, 280 is 2
Given Input Data is 612, 166, 390, 280
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 166 is 2 x 83
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
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(612, 166) = 50796
GCD(612, 166) = ( 612 x 166 ) / 50796
GCD(612, 166) = 101592 / 50796
GCD(612, 166) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 390) = 390
GCD(2, 390) = ( 2 x 390 ) / 390
GCD(2, 390) = 780 / 390
GCD(2, 390) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 280) = 280
GCD(2, 280) = ( 2 x 280 ) / 280
GCD(2, 280) = 560 / 280
GCD(2, 280) = 2
GCD of 612, 166, 390, 280 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 612, 166, 390, 280?
GCD of 612, 166, 390, 280 is 2
2. Where do I get the detailed procedure to find GCD of 612, 166, 390, 280?
You can find a detailed procedure to find GCD of 612, 166, 390, 280 on our page.
3. How to find GCD of 612, 166, 390, 280 on a calculator?
You can find the GCD of 612, 166, 390, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.