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 84, 924, 565, 279 i.e. 1 largest integer that divides all the numbers equally.
GCD of 84, 924, 565, 279 is 1
GCD(84, 924, 565, 279) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 84, 924, 565, 279 is 1
GCD(84, 924, 565, 279) = 1
Given Input numbers are 84, 924, 565, 279
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
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
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Greatest Common Divisior
We found the divisors of 84, 924, 565, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 924, 565, 279 is 1.
Therefore, GCD of numbers 84, 924, 565, 279 is 1
Given Input Data is 84, 924, 565, 279
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 565 is 5 x 113
Prime Factorization of 279 is 3 x 3 x 31
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(84, 924) = 924
GCD(84, 924) = ( 84 x 924 ) / 924
GCD(84, 924) = 77616 / 924
GCD(84, 924) = 84
Step2:
Here we consider the GCD from the above i.e. 84 as first number and the next as 565
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(84, 565) = 47460
GCD(84, 565) = ( 84 x 565 ) / 47460
GCD(84, 565) = 47460 / 47460
GCD(84, 565) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 279) = 279
GCD(1, 279) = ( 1 x 279 ) / 279
GCD(1, 279) = 279 / 279
GCD(1, 279) = 1
GCD of 84, 924, 565, 279 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 84, 924, 565, 279?
GCD of 84, 924, 565, 279 is 1
2. Where do I get the detailed procedure to find GCD of 84, 924, 565, 279?
You can find a detailed procedure to find GCD of 84, 924, 565, 279 on our page.
3. How to find GCD of 84, 924, 565, 279 on a calculator?
You can find the GCD of 84, 924, 565, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.