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 61, 497, 828, 371 i.e. 1 largest integer that divides all the numbers equally.
GCD of 61, 497, 828, 371 is 1
GCD(61, 497, 828, 371) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 61, 497, 828, 371 is 1
GCD(61, 497, 828, 371) = 1
Given Input numbers are 61, 497, 828, 371
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Divisors of 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Greatest Common Divisior
We found the divisors of 61, 497, 828, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 497, 828, 371 is 1.
Therefore, GCD of numbers 61, 497, 828, 371 is 1
Given Input Data is 61, 497, 828, 371
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 61 is 61
Prime Factorization of 497 is 7 x 71
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
Prime Factorization of 371 is 7 x 53
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(61, 497) = 30317
GCD(61, 497) = ( 61 x 497 ) / 30317
GCD(61, 497) = 30317 / 30317
GCD(61, 497) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 828
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
GCD(1, 828) = 828 / 828
GCD(1, 828) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 371) = 371
GCD(1, 371) = ( 1 x 371 ) / 371
GCD(1, 371) = 371 / 371
GCD(1, 371) = 1
GCD of 61, 497, 828, 371 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 61, 497, 828, 371?
GCD of 61, 497, 828, 371 is 1
2. Where do I get the detailed procedure to find GCD of 61, 497, 828, 371?
You can find a detailed procedure to find GCD of 61, 497, 828, 371 on our page.
3. How to find GCD of 61, 497, 828, 371 on a calculator?
You can find the GCD of 61, 497, 828, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.