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 532, 134, 402 i.e. 2 largest integer that divides all the numbers equally.
GCD of 532, 134, 402 is 2
GCD(532, 134, 402) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 532, 134, 402 is 2
GCD(532, 134, 402) = 2
Given Input numbers are 532, 134, 402
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
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 532, 134, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 134, 402 is 2.
Therefore, GCD of numbers 532, 134, 402 is 2
Given Input Data is 532, 134, 402
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 532 is 2 x 2 x 7 x 19
Prime Factorization of 134 is 2 x 67
Prime Factorization of 402 is 2 x 3 x 67
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(532, 134) = 35644
GCD(532, 134) = ( 532 x 134 ) / 35644
GCD(532, 134) = 71288 / 35644
GCD(532, 134) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 402) = 402
GCD(2, 402) = ( 2 x 402 ) / 402
GCD(2, 402) = 804 / 402
GCD(2, 402) = 2
GCD of 532, 134, 402 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 532, 134, 402?
GCD of 532, 134, 402 is 2
2. Where do I get the detailed procedure to find GCD of 532, 134, 402?
You can find a detailed procedure to find GCD of 532, 134, 402 on our page.
3. How to find GCD of 532, 134, 402 on a calculator?
You can find the GCD of 532, 134, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.