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 925, 384, 86, 362 i.e. 1 largest integer that divides all the numbers equally.
GCD of 925, 384, 86, 362 is 1
GCD(925, 384, 86, 362) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 925, 384, 86, 362 is 1
GCD(925, 384, 86, 362) = 1
Given Input numbers are 925, 384, 86, 362
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Greatest Common Divisior
We found the divisors of 925, 384, 86, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 925, 384, 86, 362 is 1.
Therefore, GCD of numbers 925, 384, 86, 362 is 1
Given Input Data is 925, 384, 86, 362
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 925 is 5 x 5 x 37
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 86 is 2 x 43
Prime Factorization of 362 is 2 x 181
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(925, 384) = 355200
GCD(925, 384) = ( 925 x 384 ) / 355200
GCD(925, 384) = 355200 / 355200
GCD(925, 384) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 86) = 86
GCD(1, 86) = ( 1 x 86 ) / 86
GCD(1, 86) = 86 / 86
GCD(1, 86) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 362
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 362) = 362
GCD(1, 362) = ( 1 x 362 ) / 362
GCD(1, 362) = 362 / 362
GCD(1, 362) = 1
GCD of 925, 384, 86, 362 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 925, 384, 86, 362?
GCD of 925, 384, 86, 362 is 1
2. Where do I get the detailed procedure to find GCD of 925, 384, 86, 362?
You can find a detailed procedure to find GCD of 925, 384, 86, 362 on our page.
3. How to find GCD of 925, 384, 86, 362 on a calculator?
You can find the GCD of 925, 384, 86, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.