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 268, 840, 55, 281 i.e. 1 largest integer that divides all the numbers equally.
GCD of 268, 840, 55, 281 is 1
GCD(268, 840, 55, 281) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 268, 840, 55, 281 is 1
GCD(268, 840, 55, 281) = 1
Given Input numbers are 268, 840, 55, 281
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
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 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 281
List of positive integer divisors of 281 that divides 281 without a remainder.
1, 281
Greatest Common Divisior
We found the divisors of 268, 840, 55, 281 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 840, 55, 281 is 1.
Therefore, GCD of numbers 268, 840, 55, 281 is 1
Given Input Data is 268, 840, 55, 281
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 55 is 5 x 11
Prime Factorization of 281 is 281
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(268, 840) = 56280
GCD(268, 840) = ( 268 x 840 ) / 56280
GCD(268, 840) = 225120 / 56280
GCD(268, 840) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 55) = 220
GCD(4, 55) = ( 4 x 55 ) / 220
GCD(4, 55) = 220 / 220
GCD(4, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 281
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 281) = 281
GCD(1, 281) = ( 1 x 281 ) / 281
GCD(1, 281) = 281 / 281
GCD(1, 281) = 1
GCD of 268, 840, 55, 281 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 268, 840, 55, 281?
GCD of 268, 840, 55, 281 is 1
2. Where do I get the detailed procedure to find GCD of 268, 840, 55, 281?
You can find a detailed procedure to find GCD of 268, 840, 55, 281 on our page.
3. How to find GCD of 268, 840, 55, 281 on a calculator?
You can find the GCD of 268, 840, 55, 281 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.