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 861, 267, 48, 280 i.e. 1 largest integer that divides all the numbers equally.
GCD of 861, 267, 48, 280 is 1
GCD(861, 267, 48, 280) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 861, 267, 48, 280 is 1
GCD(861, 267, 48, 280) = 1
Given Input numbers are 861, 267, 48, 280
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Greatest Common Divisior
We found the divisors of 861, 267, 48, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 267, 48, 280 is 1.
Therefore, GCD of numbers 861, 267, 48, 280 is 1
Given Input Data is 861, 267, 48, 280
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 267 is 3 x 89
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
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(861, 267) = 76629
GCD(861, 267) = ( 861 x 267 ) / 76629
GCD(861, 267) = 229887 / 76629
GCD(861, 267) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 48) = 48
GCD(3, 48) = ( 3 x 48 ) / 48
GCD(3, 48) = 144 / 48
GCD(3, 48) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 280) = 840
GCD(3, 280) = ( 3 x 280 ) / 840
GCD(3, 280) = 840 / 840
GCD(3, 280) = 1
GCD of 861, 267, 48, 280 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 861, 267, 48, 280?
GCD of 861, 267, 48, 280 is 1
2. Where do I get the detailed procedure to find GCD of 861, 267, 48, 280?
You can find a detailed procedure to find GCD of 861, 267, 48, 280 on our page.
3. How to find GCD of 861, 267, 48, 280 on a calculator?
You can find the GCD of 861, 267, 48, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.