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 700, 336, 52, 409 i.e. 1 largest integer that divides all the numbers equally.
GCD of 700, 336, 52, 409 is 1
GCD(700, 336, 52, 409) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 700, 336, 52, 409 is 1
GCD(700, 336, 52, 409) = 1
Given Input numbers are 700, 336, 52, 409
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
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 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 409
List of positive integer divisors of 409 that divides 409 without a remainder.
1, 409
Greatest Common Divisior
We found the divisors of 700, 336, 52, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 336, 52, 409 is 1.
Therefore, GCD of numbers 700, 336, 52, 409 is 1
Given Input Data is 700, 336, 52, 409
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 409 is 409
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(700, 336) = 8400
GCD(700, 336) = ( 700 x 336 ) / 8400
GCD(700, 336) = 235200 / 8400
GCD(700, 336) = 28
Step2:
Here we consider the GCD from the above i.e. 28 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(28, 52) = 364
GCD(28, 52) = ( 28 x 52 ) / 364
GCD(28, 52) = 1456 / 364
GCD(28, 52) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 409
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 409) = 1636
GCD(4, 409) = ( 4 x 409 ) / 1636
GCD(4, 409) = 1636 / 1636
GCD(4, 409) = 1
GCD of 700, 336, 52, 409 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 700, 336, 52, 409?
GCD of 700, 336, 52, 409 is 1
2. Where do I get the detailed procedure to find GCD of 700, 336, 52, 409?
You can find a detailed procedure to find GCD of 700, 336, 52, 409 on our page.
3. How to find GCD of 700, 336, 52, 409 on a calculator?
You can find the GCD of 700, 336, 52, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.