GCD of 76, 424, 532, 160 Calculator

Given Input numbers are 76, 424, 532, 160

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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 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 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 76, 424, 532, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 424, 532, 160 is 4.

Therefore, GCD of numbers 76, 424, 532, 160 is 4

Given Input Data is 76, 424, 532, 160

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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(76, 424) = 8056

GCD(76, 424) = ( 76 x 424 ) / 8056

GCD(76, 424) = 32224 / 8056

GCD(76, 424) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 532

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

LCM(4, 532) = 532

GCD(4, 532) = ( 4 x 532 ) / 532

GCD(4, 532) = 2128 / 532

GCD(4, 532) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 160

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

LCM(4, 160) = 160

GCD(4, 160) = ( 4 x 160 ) / 160

GCD(4, 160) = 640 / 160

GCD(4, 160) = 4

GCD of 76, 424, 532, 160 is 4

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• GCD of 15, 614, 370, 835
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• GCD of 59, 512, 469, 300

1. What is the GCD of 76, 424, 532, 160?

GCD of 76, 424, 532, 160 is 4

2. Where do I get the detailed procedure to find GCD of 76, 424, 532, 160?

You can find a detailed procedure to find GCD of 76, 424, 532, 160 on our page.

3. How to find GCD of 76, 424, 532, 160 on a calculator?

You can find the GCD of 76, 424, 532, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.