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 704, 248, 402, 455 i.e. 1 largest integer that divides all the numbers equally.
GCD of 704, 248, 402, 455 is 1
GCD(704, 248, 402, 455) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 704, 248, 402, 455 is 1
GCD(704, 248, 402, 455) = 1
Given Input numbers are 704, 248, 402, 455
To find the GCD of numbers using factoring list out all the divisors of each number
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 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Greatest Common Divisior
We found the divisors of 704, 248, 402, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 248, 402, 455 is 1.
Therefore, GCD of numbers 704, 248, 402, 455 is 1
Given Input Data is 704, 248, 402, 455
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 455 is 5 x 7 x 13
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(704, 248) = 21824
GCD(704, 248) = ( 704 x 248 ) / 21824
GCD(704, 248) = 174592 / 21824
GCD(704, 248) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 402) = 1608
GCD(8, 402) = ( 8 x 402 ) / 1608
GCD(8, 402) = 3216 / 1608
GCD(8, 402) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 455
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 455) = 910
GCD(2, 455) = ( 2 x 455 ) / 910
GCD(2, 455) = 910 / 910
GCD(2, 455) = 1
GCD of 704, 248, 402, 455 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 704, 248, 402, 455?
GCD of 704, 248, 402, 455 is 1
2. Where do I get the detailed procedure to find GCD of 704, 248, 402, 455?
You can find a detailed procedure to find GCD of 704, 248, 402, 455 on our page.
3. How to find GCD of 704, 248, 402, 455 on a calculator?
You can find the GCD of 704, 248, 402, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.