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 856, 270, 409, 154 i.e. 1 largest integer that divides all the numbers equally.
GCD of 856, 270, 409, 154 is 1
GCD(856, 270, 409, 154) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 856, 270, 409, 154 is 1
GCD(856, 270, 409, 154) = 1
Given Input numbers are 856, 270, 409, 154
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 409
List of positive integer divisors of 409 that divides 409 without a remainder.
1, 409
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Greatest Common Divisior
We found the divisors of 856, 270, 409, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 270, 409, 154 is 1.
Therefore, GCD of numbers 856, 270, 409, 154 is 1
Given Input Data is 856, 270, 409, 154
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 856 is 2 x 2 x 2 x 107
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 409 is 409
Prime Factorization of 154 is 2 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(856, 270) = 115560
GCD(856, 270) = ( 856 x 270 ) / 115560
GCD(856, 270) = 231120 / 115560
GCD(856, 270) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 409
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 409) = 818
GCD(2, 409) = ( 2 x 409 ) / 818
GCD(2, 409) = 818 / 818
GCD(2, 409) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 154
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 154) = 154
GCD(1, 154) = ( 1 x 154 ) / 154
GCD(1, 154) = 154 / 154
GCD(1, 154) = 1
GCD of 856, 270, 409, 154 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 856, 270, 409, 154?
GCD of 856, 270, 409, 154 is 1
2. Where do I get the detailed procedure to find GCD of 856, 270, 409, 154?
You can find a detailed procedure to find GCD of 856, 270, 409, 154 on our page.
3. How to find GCD of 856, 270, 409, 154 on a calculator?
You can find the GCD of 856, 270, 409, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.