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 336, 300, 277 i.e. 1 largest integer that divides all the numbers equally.
GCD of 336, 300, 277 is 1
GCD(336, 300, 277) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 336, 300, 277 is 1
GCD(336, 300, 277) = 1
Given Input numbers are 336, 300, 277
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Greatest Common Divisior
We found the divisors of 336, 300, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 300, 277 is 1.
Therefore, GCD of numbers 336, 300, 277 is 1
Given Input Data is 336, 300, 277
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 277 is 277
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(336, 300) = 8400
GCD(336, 300) = ( 336 x 300 ) / 8400
GCD(336, 300) = 100800 / 8400
GCD(336, 300) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 277
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 277) = 3324
GCD(12, 277) = ( 12 x 277 ) / 3324
GCD(12, 277) = 3324 / 3324
GCD(12, 277) = 1
GCD of 336, 300, 277 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 336, 300, 277?
GCD of 336, 300, 277 is 1
2. Where do I get the detailed procedure to find GCD of 336, 300, 277?
You can find a detailed procedure to find GCD of 336, 300, 277 on our page.
3. How to find GCD of 336, 300, 277 on a calculator?
You can find the GCD of 336, 300, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.