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 70, 494, 691, 324 i.e. 1 largest integer that divides all the numbers equally.
GCD of 70, 494, 691, 324 is 1
GCD(70, 494, 691, 324) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 494, 691, 324 is 1
GCD(70, 494, 691, 324) = 1
Given Input numbers are 70, 494, 691, 324
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Greatest Common Divisior
We found the divisors of 70, 494, 691, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 494, 691, 324 is 1.
Therefore, GCD of numbers 70, 494, 691, 324 is 1
Given Input Data is 70, 494, 691, 324
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 691 is 691
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
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(70, 494) = 17290
GCD(70, 494) = ( 70 x 494 ) / 17290
GCD(70, 494) = 34580 / 17290
GCD(70, 494) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 691
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 691) = 1382
GCD(2, 691) = ( 2 x 691 ) / 1382
GCD(2, 691) = 1382 / 1382
GCD(2, 691) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 324
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 324) = 324
GCD(1, 324) = ( 1 x 324 ) / 324
GCD(1, 324) = 324 / 324
GCD(1, 324) = 1
GCD of 70, 494, 691, 324 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 494, 691, 324?
GCD of 70, 494, 691, 324 is 1
2. Where do I get the detailed procedure to find GCD of 70, 494, 691, 324?
You can find a detailed procedure to find GCD of 70, 494, 691, 324 on our page.
3. How to find GCD of 70, 494, 691, 324 on a calculator?
You can find the GCD of 70, 494, 691, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.