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 420, 244, 974, 666 i.e. 2 largest integer that divides all the numbers equally.
GCD of 420, 244, 974, 666 is 2
GCD(420, 244, 974, 666) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 420, 244, 974, 666 is 2
GCD(420, 244, 974, 666) = 2
Given Input numbers are 420, 244, 974, 666
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 244
List of positive integer divisors of 244 that divides 244 without a remainder.
1, 2, 4, 61, 122, 244
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Greatest Common Divisior
We found the divisors of 420, 244, 974, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 244, 974, 666 is 2.
Therefore, GCD of numbers 420, 244, 974, 666 is 2
Given Input Data is 420, 244, 974, 666
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 244 is 2 x 2 x 61
Prime Factorization of 974 is 2 x 487
Prime Factorization of 666 is 2 x 3 x 3 x 37
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(420, 244) = 25620
GCD(420, 244) = ( 420 x 244 ) / 25620
GCD(420, 244) = 102480 / 25620
GCD(420, 244) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 974
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 974) = 1948
GCD(4, 974) = ( 4 x 974 ) / 1948
GCD(4, 974) = 3896 / 1948
GCD(4, 974) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 666
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 666) = 666
GCD(2, 666) = ( 2 x 666 ) / 666
GCD(2, 666) = 1332 / 666
GCD(2, 666) = 2
GCD of 420, 244, 974, 666 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 420, 244, 974, 666?
GCD of 420, 244, 974, 666 is 2
2. Where do I get the detailed procedure to find GCD of 420, 244, 974, 666?
You can find a detailed procedure to find GCD of 420, 244, 974, 666 on our page.
3. How to find GCD of 420, 244, 974, 666 on a calculator?
You can find the GCD of 420, 244, 974, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.