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 91, 775, 182, 320 i.e. 1 largest integer that divides all the numbers equally.
GCD of 91, 775, 182, 320 is 1
GCD(91, 775, 182, 320) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 91, 775, 182, 320 is 1
GCD(91, 775, 182, 320) = 1
Given Input numbers are 91, 775, 182, 320
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Greatest Common Divisior
We found the divisors of 91, 775, 182, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 775, 182, 320 is 1.
Therefore, GCD of numbers 91, 775, 182, 320 is 1
Given Input Data is 91, 775, 182, 320
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 91 is 7 x 13
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
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(91, 775) = 70525
GCD(91, 775) = ( 91 x 775 ) / 70525
GCD(91, 775) = 70525 / 70525
GCD(91, 775) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 182
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 182) = 182
GCD(1, 182) = ( 1 x 182 ) / 182
GCD(1, 182) = 182 / 182
GCD(1, 182) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 320
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
GCD(1, 320) = 320 / 320
GCD(1, 320) = 1
GCD of 91, 775, 182, 320 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 91, 775, 182, 320?
GCD of 91, 775, 182, 320 is 1
2. Where do I get the detailed procedure to find GCD of 91, 775, 182, 320?
You can find a detailed procedure to find GCD of 91, 775, 182, 320 on our page.
3. How to find GCD of 91, 775, 182, 320 on a calculator?
You can find the GCD of 91, 775, 182, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.