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 336, 752, 87, 212 i.e. 1 largest integer that divides all the numbers equally.
GCD of 336, 752, 87, 212 is 1
GCD(336, 752, 87, 212) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 336, 752, 87, 212 is 1
GCD(336, 752, 87, 212) = 1
Given Input numbers are 336, 752, 87, 212
To find the GCD of numbers using factoring list out all the divisors of each number
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 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Greatest Common Divisior
We found the divisors of 336, 752, 87, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 752, 87, 212 is 1.
Therefore, GCD of numbers 336, 752, 87, 212 is 1
Given Input Data is 336, 752, 87, 212
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 87 is 3 x 29
Prime Factorization of 212 is 2 x 2 x 53
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(336, 752) = 15792
GCD(336, 752) = ( 336 x 752 ) / 15792
GCD(336, 752) = 252672 / 15792
GCD(336, 752) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 87) = 1392
GCD(16, 87) = ( 16 x 87 ) / 1392
GCD(16, 87) = 1392 / 1392
GCD(16, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 212
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 212) = 212
GCD(1, 212) = ( 1 x 212 ) / 212
GCD(1, 212) = 212 / 212
GCD(1, 212) = 1
GCD of 336, 752, 87, 212 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 336, 752, 87, 212?
GCD of 336, 752, 87, 212 is 1
2. Where do I get the detailed procedure to find GCD of 336, 752, 87, 212?
You can find a detailed procedure to find GCD of 336, 752, 87, 212 on our page.
3. How to find GCD of 336, 752, 87, 212 on a calculator?
You can find the GCD of 336, 752, 87, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.