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 682, 921, 84, 492 i.e. 1 largest integer that divides all the numbers equally.
GCD of 682, 921, 84, 492 is 1
GCD(682, 921, 84, 492) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 682, 921, 84, 492 is 1
GCD(682, 921, 84, 492) = 1
Given Input numbers are 682, 921, 84, 492
To find the GCD of numbers using factoring list out all the divisors of each number
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 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Greatest Common Divisior
We found the divisors of 682, 921, 84, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 921, 84, 492 is 1.
Therefore, GCD of numbers 682, 921, 84, 492 is 1
Given Input Data is 682, 921, 84, 492
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 921 is 3 x 307
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 492 is 2 x 2 x 3 x 41
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(682, 921) = 628122
GCD(682, 921) = ( 682 x 921 ) / 628122
GCD(682, 921) = 628122 / 628122
GCD(682, 921) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 84) = 84
GCD(1, 84) = ( 1 x 84 ) / 84
GCD(1, 84) = 84 / 84
GCD(1, 84) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 492
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 492) = 492
GCD(1, 492) = ( 1 x 492 ) / 492
GCD(1, 492) = 492 / 492
GCD(1, 492) = 1
GCD of 682, 921, 84, 492 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 682, 921, 84, 492?
GCD of 682, 921, 84, 492 is 1
2. Where do I get the detailed procedure to find GCD of 682, 921, 84, 492?
You can find a detailed procedure to find GCD of 682, 921, 84, 492 on our page.
3. How to find GCD of 682, 921, 84, 492 on a calculator?
You can find the GCD of 682, 921, 84, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.