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 477, 704, 336, 514 i.e. 1 largest integer that divides all the numbers equally.
GCD of 477, 704, 336, 514 is 1
GCD(477, 704, 336, 514) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 477, 704, 336, 514 is 1
GCD(477, 704, 336, 514) = 1
Given Input numbers are 477, 704, 336, 514
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
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 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Greatest Common Divisior
We found the divisors of 477, 704, 336, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 477, 704, 336, 514 is 1.
Therefore, GCD of numbers 477, 704, 336, 514 is 1
Given Input Data is 477, 704, 336, 514
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 477 is 3 x 3 x 53
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 514 is 2 x 257
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(477, 704) = 335808
GCD(477, 704) = ( 477 x 704 ) / 335808
GCD(477, 704) = 335808 / 335808
GCD(477, 704) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 336) = 336
GCD(1, 336) = ( 1 x 336 ) / 336
GCD(1, 336) = 336 / 336
GCD(1, 336) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 514
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 514) = 514
GCD(1, 514) = ( 1 x 514 ) / 514
GCD(1, 514) = 514 / 514
GCD(1, 514) = 1
GCD of 477, 704, 336, 514 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 477, 704, 336, 514?
GCD of 477, 704, 336, 514 is 1
2. Where do I get the detailed procedure to find GCD of 477, 704, 336, 514?
You can find a detailed procedure to find GCD of 477, 704, 336, 514 on our page.
3. How to find GCD of 477, 704, 336, 514 on a calculator?
You can find the GCD of 477, 704, 336, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.