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 845, 298, 55, 924 i.e. 1 largest integer that divides all the numbers equally.
GCD of 845, 298, 55, 924 is 1
GCD(845, 298, 55, 924) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 845, 298, 55, 924 is 1
GCD(845, 298, 55, 924) = 1
Given Input numbers are 845, 298, 55, 924
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Greatest Common Divisior
We found the divisors of 845, 298, 55, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 298, 55, 924 is 1.
Therefore, GCD of numbers 845, 298, 55, 924 is 1
Given Input Data is 845, 298, 55, 924
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 298 is 2 x 149
Prime Factorization of 55 is 5 x 11
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
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(845, 298) = 251810
GCD(845, 298) = ( 845 x 298 ) / 251810
GCD(845, 298) = 251810 / 251810
GCD(845, 298) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 55) = 55
GCD(1, 55) = ( 1 x 55 ) / 55
GCD(1, 55) = 55 / 55
GCD(1, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 924) = 924
GCD(1, 924) = ( 1 x 924 ) / 924
GCD(1, 924) = 924 / 924
GCD(1, 924) = 1
GCD of 845, 298, 55, 924 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 845, 298, 55, 924?
GCD of 845, 298, 55, 924 is 1
2. Where do I get the detailed procedure to find GCD of 845, 298, 55, 924?
You can find a detailed procedure to find GCD of 845, 298, 55, 924 on our page.
3. How to find GCD of 845, 298, 55, 924 on a calculator?
You can find the GCD of 845, 298, 55, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.