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, 322, 283, 184 i.e. 1 largest integer that divides all the numbers equally.
GCD of 70, 322, 283, 184 is 1
GCD(70, 322, 283, 184) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 322, 283, 184 is 1
GCD(70, 322, 283, 184) = 1
Given Input numbers are 70, 322, 283, 184
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 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Greatest Common Divisior
We found the divisors of 70, 322, 283, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 322, 283, 184 is 1.
Therefore, GCD of numbers 70, 322, 283, 184 is 1
Given Input Data is 70, 322, 283, 184
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 322 is 2 x 7 x 23
Prime Factorization of 283 is 283
Prime Factorization of 184 is 2 x 2 x 2 x 23
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, 322) = 1610
GCD(70, 322) = ( 70 x 322 ) / 1610
GCD(70, 322) = 22540 / 1610
GCD(70, 322) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 283
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 283) = 3962
GCD(14, 283) = ( 14 x 283 ) / 3962
GCD(14, 283) = 3962 / 3962
GCD(14, 283) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 184
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 184) = 184
GCD(1, 184) = ( 1 x 184 ) / 184
GCD(1, 184) = 184 / 184
GCD(1, 184) = 1
GCD of 70, 322, 283, 184 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 322, 283, 184?
GCD of 70, 322, 283, 184 is 1
2. Where do I get the detailed procedure to find GCD of 70, 322, 283, 184?
You can find a detailed procedure to find GCD of 70, 322, 283, 184 on our page.
3. How to find GCD of 70, 322, 283, 184 on a calculator?
You can find the GCD of 70, 322, 283, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.