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 674, 201, 48, 499 i.e. 1 largest integer that divides all the numbers equally.
GCD of 674, 201, 48, 499 is 1
GCD(674, 201, 48, 499) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 674, 201, 48, 499 is 1
GCD(674, 201, 48, 499) = 1
Given Input numbers are 674, 201, 48, 499
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Greatest Common Divisior
We found the divisors of 674, 201, 48, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 201, 48, 499 is 1.
Therefore, GCD of numbers 674, 201, 48, 499 is 1
Given Input Data is 674, 201, 48, 499
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 674 is 2 x 337
Prime Factorization of 201 is 3 x 67
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 499 is 499
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(674, 201) = 135474
GCD(674, 201) = ( 674 x 201 ) / 135474
GCD(674, 201) = 135474 / 135474
GCD(674, 201) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 48) = 48
GCD(1, 48) = ( 1 x 48 ) / 48
GCD(1, 48) = 48 / 48
GCD(1, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 499
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 499) = 499
GCD(1, 499) = ( 1 x 499 ) / 499
GCD(1, 499) = 499 / 499
GCD(1, 499) = 1
GCD of 674, 201, 48, 499 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 674, 201, 48, 499?
GCD of 674, 201, 48, 499 is 1
2. Where do I get the detailed procedure to find GCD of 674, 201, 48, 499?
You can find a detailed procedure to find GCD of 674, 201, 48, 499 on our page.
3. How to find GCD of 674, 201, 48, 499 on a calculator?
You can find the GCD of 674, 201, 48, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.