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 86, 470, 364, 653 i.e. 1 largest integer that divides all the numbers equally.
GCD of 86, 470, 364, 653 is 1
GCD(86, 470, 364, 653) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 86, 470, 364, 653 is 1
GCD(86, 470, 364, 653) = 1
Given Input numbers are 86, 470, 364, 653
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Greatest Common Divisior
We found the divisors of 86, 470, 364, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 470, 364, 653 is 1.
Therefore, GCD of numbers 86, 470, 364, 653 is 1
Given Input Data is 86, 470, 364, 653
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 86 is 2 x 43
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 653 is 653
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(86, 470) = 20210
GCD(86, 470) = ( 86 x 470 ) / 20210
GCD(86, 470) = 40420 / 20210
GCD(86, 470) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 364
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 364) = 364
GCD(2, 364) = ( 2 x 364 ) / 364
GCD(2, 364) = 728 / 364
GCD(2, 364) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 653
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 653) = 1306
GCD(2, 653) = ( 2 x 653 ) / 1306
GCD(2, 653) = 1306 / 1306
GCD(2, 653) = 1
GCD of 86, 470, 364, 653 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 86, 470, 364, 653?
GCD of 86, 470, 364, 653 is 1
2. Where do I get the detailed procedure to find GCD of 86, 470, 364, 653?
You can find a detailed procedure to find GCD of 86, 470, 364, 653 on our page.
3. How to find GCD of 86, 470, 364, 653 on a calculator?
You can find the GCD of 86, 470, 364, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.