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 74, 820, 335, 503 i.e. 1 largest integer that divides all the numbers equally.
GCD of 74, 820, 335, 503 is 1
GCD(74, 820, 335, 503) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 74, 820, 335, 503 is 1
GCD(74, 820, 335, 503) = 1
Given Input numbers are 74, 820, 335, 503
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Greatest Common Divisior
We found the divisors of 74, 820, 335, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 820, 335, 503 is 1.
Therefore, GCD of numbers 74, 820, 335, 503 is 1
Given Input Data is 74, 820, 335, 503
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 74 is 2 x 37
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 335 is 5 x 67
Prime Factorization of 503 is 503
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(74, 820) = 30340
GCD(74, 820) = ( 74 x 820 ) / 30340
GCD(74, 820) = 60680 / 30340
GCD(74, 820) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 335) = 670
GCD(2, 335) = ( 2 x 335 ) / 670
GCD(2, 335) = 670 / 670
GCD(2, 335) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 503
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 503) = 503
GCD(1, 503) = ( 1 x 503 ) / 503
GCD(1, 503) = 503 / 503
GCD(1, 503) = 1
GCD of 74, 820, 335, 503 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 74, 820, 335, 503?
GCD of 74, 820, 335, 503 is 1
2. Where do I get the detailed procedure to find GCD of 74, 820, 335, 503?
You can find a detailed procedure to find GCD of 74, 820, 335, 503 on our page.
3. How to find GCD of 74, 820, 335, 503 on a calculator?
You can find the GCD of 74, 820, 335, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.