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 336, 947, 60, 420 i.e. 1 largest integer that divides all the numbers equally.
GCD of 336, 947, 60, 420 is 1
GCD(336, 947, 60, 420) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 336, 947, 60, 420 is 1
GCD(336, 947, 60, 420) = 1
Given Input numbers are 336, 947, 60, 420
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 947
List of positive integer divisors of 947 that divides 947 without a remainder.
1, 947
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
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
Greatest Common Divisior
We found the divisors of 336, 947, 60, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 947, 60, 420 is 1.
Therefore, GCD of numbers 336, 947, 60, 420 is 1
Given Input Data is 336, 947, 60, 420
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 947 is 947
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 420 is 2 x 2 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(336, 947) = 318192
GCD(336, 947) = ( 336 x 947 ) / 318192
GCD(336, 947) = 318192 / 318192
GCD(336, 947) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 420
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
GCD(1, 420) = 420 / 420
GCD(1, 420) = 1
GCD of 336, 947, 60, 420 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 336, 947, 60, 420?
GCD of 336, 947, 60, 420 is 1
2. Where do I get the detailed procedure to find GCD of 336, 947, 60, 420?
You can find a detailed procedure to find GCD of 336, 947, 60, 420 on our page.
3. How to find GCD of 336, 947, 60, 420 on a calculator?
You can find the GCD of 336, 947, 60, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.