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 67, 420, 482, 375 i.e. 1 largest integer that divides all the numbers equally.
GCD of 67, 420, 482, 375 is 1
GCD(67, 420, 482, 375) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 67, 420, 482, 375 is 1
GCD(67, 420, 482, 375) = 1
Given Input numbers are 67, 420, 482, 375
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
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 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Greatest Common Divisior
We found the divisors of 67, 420, 482, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 420, 482, 375 is 1.
Therefore, GCD of numbers 67, 420, 482, 375 is 1
Given Input Data is 67, 420, 482, 375
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 67 is 67
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 482 is 2 x 241
Prime Factorization of 375 is 3 x 5 x 5 x 5
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(67, 420) = 28140
GCD(67, 420) = ( 67 x 420 ) / 28140
GCD(67, 420) = 28140 / 28140
GCD(67, 420) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 482
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 482) = 482
GCD(1, 482) = ( 1 x 482 ) / 482
GCD(1, 482) = 482 / 482
GCD(1, 482) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 375
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 375) = 375
GCD(1, 375) = ( 1 x 375 ) / 375
GCD(1, 375) = 375 / 375
GCD(1, 375) = 1
GCD of 67, 420, 482, 375 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 67, 420, 482, 375?
GCD of 67, 420, 482, 375 is 1
2. Where do I get the detailed procedure to find GCD of 67, 420, 482, 375?
You can find a detailed procedure to find GCD of 67, 420, 482, 375 on our page.
3. How to find GCD of 67, 420, 482, 375 on a calculator?
You can find the GCD of 67, 420, 482, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.