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, 424, 70, 132 i.e. 2 largest integer that divides all the numbers equally.
GCD of 336, 424, 70, 132 is 2
GCD(336, 424, 70, 132) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 336, 424, 70, 132 is 2
GCD(336, 424, 70, 132) = 2
Given Input numbers are 336, 424, 70, 132
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 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Greatest Common Divisior
We found the divisors of 336, 424, 70, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 424, 70, 132 is 2.
Therefore, GCD of numbers 336, 424, 70, 132 is 2
Given Input Data is 336, 424, 70, 132
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 424 is 2 x 2 x 2 x 53
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 132 is 2 x 2 x 3 x 11
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 424) = 17808
GCD(336, 424) = ( 336 x 424 ) / 17808
GCD(336, 424) = 142464 / 17808
GCD(336, 424) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 70) = 280
GCD(8, 70) = ( 8 x 70 ) / 280
GCD(8, 70) = 560 / 280
GCD(8, 70) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 132) = 132
GCD(2, 132) = ( 2 x 132 ) / 132
GCD(2, 132) = 264 / 132
GCD(2, 132) = 2
GCD of 336, 424, 70, 132 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 336, 424, 70, 132?
GCD of 336, 424, 70, 132 is 2
2. Where do I get the detailed procedure to find GCD of 336, 424, 70, 132?
You can find a detailed procedure to find GCD of 336, 424, 70, 132 on our page.
3. How to find GCD of 336, 424, 70, 132 on a calculator?
You can find the GCD of 336, 424, 70, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.