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 545, 149, 496, 266 i.e. 1 largest integer that divides all the numbers equally.
GCD of 545, 149, 496, 266 is 1
GCD(545, 149, 496, 266) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 545, 149, 496, 266 is 1
GCD(545, 149, 496, 266) = 1
Given Input numbers are 545, 149, 496, 266
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Greatest Common Divisior
We found the divisors of 545, 149, 496, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 149, 496, 266 is 1.
Therefore, GCD of numbers 545, 149, 496, 266 is 1
Given Input Data is 545, 149, 496, 266
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 545 is 5 x 109
Prime Factorization of 149 is 149
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 266 is 2 x 7 x 19
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(545, 149) = 81205
GCD(545, 149) = ( 545 x 149 ) / 81205
GCD(545, 149) = 81205 / 81205
GCD(545, 149) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 496
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 496) = 496
GCD(1, 496) = ( 1 x 496 ) / 496
GCD(1, 496) = 496 / 496
GCD(1, 496) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 266
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 266) = 266
GCD(1, 266) = ( 1 x 266 ) / 266
GCD(1, 266) = 266 / 266
GCD(1, 266) = 1
GCD of 545, 149, 496, 266 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 545, 149, 496, 266?
GCD of 545, 149, 496, 266 is 1
2. Where do I get the detailed procedure to find GCD of 545, 149, 496, 266?
You can find a detailed procedure to find GCD of 545, 149, 496, 266 on our page.
3. How to find GCD of 545, 149, 496, 266 on a calculator?
You can find the GCD of 545, 149, 496, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.