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 136, 128, 303, 545 i.e. 1 largest integer that divides all the numbers equally.
GCD of 136, 128, 303, 545 is 1
GCD(136, 128, 303, 545) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 136, 128, 303, 545 is 1
GCD(136, 128, 303, 545) = 1
Given Input numbers are 136, 128, 303, 545
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Greatest Common Divisior
We found the divisors of 136, 128, 303, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 128, 303, 545 is 1.
Therefore, GCD of numbers 136, 128, 303, 545 is 1
Given Input Data is 136, 128, 303, 545
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 303 is 3 x 101
Prime Factorization of 545 is 5 x 109
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(136, 128) = 2176
GCD(136, 128) = ( 136 x 128 ) / 2176
GCD(136, 128) = 17408 / 2176
GCD(136, 128) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 303
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 303) = 2424
GCD(8, 303) = ( 8 x 303 ) / 2424
GCD(8, 303) = 2424 / 2424
GCD(8, 303) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 545
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 545) = 545
GCD(1, 545) = ( 1 x 545 ) / 545
GCD(1, 545) = 545 / 545
GCD(1, 545) = 1
GCD of 136, 128, 303, 545 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 136, 128, 303, 545?
GCD of 136, 128, 303, 545 is 1
2. Where do I get the detailed procedure to find GCD of 136, 128, 303, 545?
You can find a detailed procedure to find GCD of 136, 128, 303, 545 on our page.
3. How to find GCD of 136, 128, 303, 545 on a calculator?
You can find the GCD of 136, 128, 303, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.