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 535, 133, 28, 154 i.e. 1 largest integer that divides all the numbers equally.
GCD of 535, 133, 28, 154 is 1
GCD(535, 133, 28, 154) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 535, 133, 28, 154 is 1
GCD(535, 133, 28, 154) = 1
Given Input numbers are 535, 133, 28, 154
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
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 535, 133, 28, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 535, 133, 28, 154 is 1.
Therefore, GCD of numbers 535, 133, 28, 154 is 1
Given Input Data is 535, 133, 28, 154
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 535 is 5 x 107
Prime Factorization of 133 is 7 x 19
Prime Factorization of 28 is 2 x 2 x 7
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(535, 133) = 71155
GCD(535, 133) = ( 535 x 133 ) / 71155
GCD(535, 133) = 71155 / 71155
GCD(535, 133) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 28) = 28
GCD(1, 28) = ( 1 x 28 ) / 28
GCD(1, 28) = 28 / 28
GCD(1, 28) = 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 535, 133, 28, 154 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 535, 133, 28, 154?
GCD of 535, 133, 28, 154 is 1
2. Where do I get the detailed procedure to find GCD of 535, 133, 28, 154?
You can find a detailed procedure to find GCD of 535, 133, 28, 154 on our page.
3. How to find GCD of 535, 133, 28, 154 on a calculator?
You can find the GCD of 535, 133, 28, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.