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 315, 377, 54, 224 i.e. 1 largest integer that divides all the numbers equally.
GCD of 315, 377, 54, 224 is 1
GCD(315, 377, 54, 224) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 315, 377, 54, 224 is 1
GCD(315, 377, 54, 224) = 1
Given Input numbers are 315, 377, 54, 224
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Greatest Common Divisior
We found the divisors of 315, 377, 54, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 377, 54, 224 is 1.
Therefore, GCD of numbers 315, 377, 54, 224 is 1
Given Input Data is 315, 377, 54, 224
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 377 is 13 x 29
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
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(315, 377) = 118755
GCD(315, 377) = ( 315 x 377 ) / 118755
GCD(315, 377) = 118755 / 118755
GCD(315, 377) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 54) = 54
GCD(1, 54) = ( 1 x 54 ) / 54
GCD(1, 54) = 54 / 54
GCD(1, 54) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 224
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 224) = 224
GCD(1, 224) = ( 1 x 224 ) / 224
GCD(1, 224) = 224 / 224
GCD(1, 224) = 1
GCD of 315, 377, 54, 224 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 315, 377, 54, 224?
GCD of 315, 377, 54, 224 is 1
2. Where do I get the detailed procedure to find GCD of 315, 377, 54, 224?
You can find a detailed procedure to find GCD of 315, 377, 54, 224 on our page.
3. How to find GCD of 315, 377, 54, 224 on a calculator?
You can find the GCD of 315, 377, 54, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.