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, 947, 502, 630 i.e. 1 largest integer that divides all the numbers equally.
GCD of 420, 947, 502, 630 is 1
GCD(420, 947, 502, 630) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 420, 947, 502, 630 is 1
GCD(420, 947, 502, 630) = 1
Given Input numbers are 420, 947, 502, 630
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 947
List of positive integer divisors of 947 that divides 947 without a remainder.
1, 947
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Divisors of 630
List of positive integer divisors of 630 that divides 630 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Greatest Common Divisior
We found the divisors of 420, 947, 502, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 947, 502, 630 is 1.
Therefore, GCD of numbers 420, 947, 502, 630 is 1
Given Input Data is 420, 947, 502, 630
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 947 is 947
Prime Factorization of 502 is 2 x 251
Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
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, 947) = 397740
GCD(420, 947) = ( 420 x 947 ) / 397740
GCD(420, 947) = 397740 / 397740
GCD(420, 947) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 502
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 502) = 502
GCD(1, 502) = ( 1 x 502 ) / 502
GCD(1, 502) = 502 / 502
GCD(1, 502) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 630
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 630) = 630
GCD(1, 630) = ( 1 x 630 ) / 630
GCD(1, 630) = 630 / 630
GCD(1, 630) = 1
GCD of 420, 947, 502, 630 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 420, 947, 502, 630?
GCD of 420, 947, 502, 630 is 1
2. Where do I get the detailed procedure to find GCD of 420, 947, 502, 630?
You can find a detailed procedure to find GCD of 420, 947, 502, 630 on our page.
3. How to find GCD of 420, 947, 502, 630 on a calculator?
You can find the GCD of 420, 947, 502, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.