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, 484, 26, 153 i.e. 1 largest integer that divides all the numbers equally.
GCD of 704, 484, 26, 153 is 1
GCD(704, 484, 26, 153) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 704, 484, 26, 153 is 1
GCD(704, 484, 26, 153) = 1
Given Input numbers are 704, 484, 26, 153
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 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Greatest Common Divisior
We found the divisors of 704, 484, 26, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 484, 26, 153 is 1.
Therefore, GCD of numbers 704, 484, 26, 153 is 1
Given Input Data is 704, 484, 26, 153
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 484 is 2 x 2 x 11 x 11
Prime Factorization of 26 is 2 x 13
Prime Factorization of 153 is 3 x 3 x 17
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, 484) = 7744
GCD(704, 484) = ( 704 x 484 ) / 7744
GCD(704, 484) = 340736 / 7744
GCD(704, 484) = 44
Step2:
Here we consider the GCD from the above i.e. 44 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(44, 26) = 572
GCD(44, 26) = ( 44 x 26 ) / 572
GCD(44, 26) = 1144 / 572
GCD(44, 26) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 153) = 306
GCD(2, 153) = ( 2 x 153 ) / 306
GCD(2, 153) = 306 / 306
GCD(2, 153) = 1
GCD of 704, 484, 26, 153 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 704, 484, 26, 153?
GCD of 704, 484, 26, 153 is 1
2. Where do I get the detailed procedure to find GCD of 704, 484, 26, 153?
You can find a detailed procedure to find GCD of 704, 484, 26, 153 on our page.
3. How to find GCD of 704, 484, 26, 153 on a calculator?
You can find the GCD of 704, 484, 26, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.