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 264, 723, 35, 402 i.e. 1 largest integer that divides all the numbers equally.
GCD of 264, 723, 35, 402 is 1
GCD(264, 723, 35, 402) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 264, 723, 35, 402 is 1
GCD(264, 723, 35, 402) = 1
Given Input numbers are 264, 723, 35, 402
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Greatest Common Divisior
We found the divisors of 264, 723, 35, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 723, 35, 402 is 1.
Therefore, GCD of numbers 264, 723, 35, 402 is 1
Given Input Data is 264, 723, 35, 402
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 723 is 3 x 241
Prime Factorization of 35 is 5 x 7
Prime Factorization of 402 is 2 x 3 x 67
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(264, 723) = 63624
GCD(264, 723) = ( 264 x 723 ) / 63624
GCD(264, 723) = 190872 / 63624
GCD(264, 723) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 35) = 105
GCD(3, 35) = ( 3 x 35 ) / 105
GCD(3, 35) = 105 / 105
GCD(3, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 402) = 402
GCD(1, 402) = ( 1 x 402 ) / 402
GCD(1, 402) = 402 / 402
GCD(1, 402) = 1
GCD of 264, 723, 35, 402 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 264, 723, 35, 402?
GCD of 264, 723, 35, 402 is 1
2. Where do I get the detailed procedure to find GCD of 264, 723, 35, 402?
You can find a detailed procedure to find GCD of 264, 723, 35, 402 on our page.
3. How to find GCD of 264, 723, 35, 402 on a calculator?
You can find the GCD of 264, 723, 35, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.