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 879, 840, 87, 284 i.e. 1 largest integer that divides all the numbers equally.
GCD of 879, 840, 87, 284 is 1
GCD(879, 840, 87, 284) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 879, 840, 87, 284 is 1
GCD(879, 840, 87, 284) = 1
Given Input numbers are 879, 840, 87, 284
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Greatest Common Divisior
We found the divisors of 879, 840, 87, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 879, 840, 87, 284 is 1.
Therefore, GCD of numbers 879, 840, 87, 284 is 1
Given Input Data is 879, 840, 87, 284
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 879 is 3 x 293
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 87 is 3 x 29
Prime Factorization of 284 is 2 x 2 x 71
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(879, 840) = 246120
GCD(879, 840) = ( 879 x 840 ) / 246120
GCD(879, 840) = 738360 / 246120
GCD(879, 840) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 87) = 87
GCD(3, 87) = ( 3 x 87 ) / 87
GCD(3, 87) = 261 / 87
GCD(3, 87) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 284) = 852
GCD(3, 284) = ( 3 x 284 ) / 852
GCD(3, 284) = 852 / 852
GCD(3, 284) = 1
GCD of 879, 840, 87, 284 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 879, 840, 87, 284?
GCD of 879, 840, 87, 284 is 1
2. Where do I get the detailed procedure to find GCD of 879, 840, 87, 284?
You can find a detailed procedure to find GCD of 879, 840, 87, 284 on our page.
3. How to find GCD of 879, 840, 87, 284 on a calculator?
You can find the GCD of 879, 840, 87, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.