GCD of 432, 152, 68, 988 Calculator

Given Input numbers are 432, 152, 68, 988

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 432, 152, 68, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 152, 68, 988 is 4.

Therefore, GCD of numbers 432, 152, 68, 988 is 4

Given Input Data is 432, 152, 68, 988

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 988 is 2 x 2 x 13 x 19

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(432, 152) = 8208

GCD(432, 152) = ( 432 x 152 ) / 8208

GCD(432, 152) = 65664 / 8208

GCD(432, 152) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 68

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(8, 68) = 136

GCD(8, 68) = ( 8 x 68 ) / 136

GCD(8, 68) = 544 / 136

GCD(8, 68) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 988

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 988) = 988

GCD(4, 988) = ( 4 x 988 ) / 988

GCD(4, 988) = 3952 / 988

GCD(4, 988) = 4

GCD of 432, 152, 68, 988 is 4

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• GCD of 478, 666, 36, 142
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1. What is the GCD of 432, 152, 68, 988?

GCD of 432, 152, 68, 988 is 4

2. Where do I get the detailed procedure to find GCD of 432, 152, 68, 988?

You can find a detailed procedure to find GCD of 432, 152, 68, 988 on our page.

3. How to find GCD of 432, 152, 68, 988 on a calculator?

You can find the GCD of 432, 152, 68, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.