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, 986, 456, 224 i.e. 2 largest integer that divides all the numbers equally.
GCD of 420, 986, 456, 224 is 2
GCD(420, 986, 456, 224) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 420, 986, 456, 224 is 2
GCD(420, 986, 456, 224) = 2
Given Input numbers are 420, 986, 456, 224
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 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Greatest Common Divisior
We found the divisors of 420, 986, 456, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 986, 456, 224 is 2.
Therefore, GCD of numbers 420, 986, 456, 224 is 2
Given Input Data is 420, 986, 456, 224
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 986 is 2 x 17 x 29
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 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(420, 986) = 207060
GCD(420, 986) = ( 420 x 986 ) / 207060
GCD(420, 986) = 414120 / 207060
GCD(420, 986) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 456
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 456) = 456
GCD(2, 456) = ( 2 x 456 ) / 456
GCD(2, 456) = 912 / 456
GCD(2, 456) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 224
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 224) = 224
GCD(2, 224) = ( 2 x 224 ) / 224
GCD(2, 224) = 448 / 224
GCD(2, 224) = 2
GCD of 420, 986, 456, 224 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 420, 986, 456, 224?
GCD of 420, 986, 456, 224 is 2
2. Where do I get the detailed procedure to find GCD of 420, 986, 456, 224?
You can find a detailed procedure to find GCD of 420, 986, 456, 224 on our page.
3. How to find GCD of 420, 986, 456, 224 on a calculator?
You can find the GCD of 420, 986, 456, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.