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 497, 682, 66, 551 i.e. 1 largest integer that divides all the numbers equally.
GCD of 497, 682, 66, 551 is 1
GCD(497, 682, 66, 551) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 497, 682, 66, 551 is 1
GCD(497, 682, 66, 551) = 1
Given Input numbers are 497, 682, 66, 551
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Greatest Common Divisior
We found the divisors of 497, 682, 66, 551 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 682, 66, 551 is 1.
Therefore, GCD of numbers 497, 682, 66, 551 is 1
Given Input Data is 497, 682, 66, 551
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 497 is 7 x 71
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 551 is 19 x 29
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(497, 682) = 338954
GCD(497, 682) = ( 497 x 682 ) / 338954
GCD(497, 682) = 338954 / 338954
GCD(497, 682) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 551
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 551) = 551
GCD(1, 551) = ( 1 x 551 ) / 551
GCD(1, 551) = 551 / 551
GCD(1, 551) = 1
GCD of 497, 682, 66, 551 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 497, 682, 66, 551?
GCD of 497, 682, 66, 551 is 1
2. Where do I get the detailed procedure to find GCD of 497, 682, 66, 551?
You can find a detailed procedure to find GCD of 497, 682, 66, 551 on our page.
3. How to find GCD of 497, 682, 66, 551 on a calculator?
You can find the GCD of 497, 682, 66, 551 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.