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 920, 155, 92, 488 i.e. 1 largest integer that divides all the numbers equally.
GCD of 920, 155, 92, 488 is 1
GCD(920, 155, 92, 488) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 920, 155, 92, 488 is 1
GCD(920, 155, 92, 488) = 1
Given Input numbers are 920, 155, 92, 488
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Greatest Common Divisior
We found the divisors of 920, 155, 92, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 155, 92, 488 is 1.
Therefore, GCD of numbers 920, 155, 92, 488 is 1
Given Input Data is 920, 155, 92, 488
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 155 is 5 x 31
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 488 is 2 x 2 x 2 x 61
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(920, 155) = 28520
GCD(920, 155) = ( 920 x 155 ) / 28520
GCD(920, 155) = 142600 / 28520
GCD(920, 155) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 92) = 460
GCD(5, 92) = ( 5 x 92 ) / 460
GCD(5, 92) = 460 / 460
GCD(5, 92) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 488
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 488) = 488
GCD(1, 488) = ( 1 x 488 ) / 488
GCD(1, 488) = 488 / 488
GCD(1, 488) = 1
GCD of 920, 155, 92, 488 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 920, 155, 92, 488?
GCD of 920, 155, 92, 488 is 1
2. Where do I get the detailed procedure to find GCD of 920, 155, 92, 488?
You can find a detailed procedure to find GCD of 920, 155, 92, 488 on our page.
3. How to find GCD of 920, 155, 92, 488 on a calculator?
You can find the GCD of 920, 155, 92, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.