GCD of 508, 156, 350, 184 Calculator

Given Input numbers are 508, 156, 350, 184

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Greatest Common Divisior

We found the divisors of 508, 156, 350, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 156, 350, 184 is 2.

Therefore, GCD of numbers 508, 156, 350, 184 is 2

Given Input Data is 508, 156, 350, 184

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 184 is 2 x 2 x 2 x 23

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(508, 156) = 19812

GCD(508, 156) = ( 508 x 156 ) / 19812

GCD(508, 156) = 79248 / 19812

GCD(508, 156) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 350

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

LCM(4, 350) = 700

GCD(4, 350) = ( 4 x 350 ) / 700

GCD(4, 350) = 1400 / 700

GCD(4, 350) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 184

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

LCM(2, 184) = 184

GCD(2, 184) = ( 2 x 184 ) / 184

GCD(2, 184) = 368 / 184

GCD(2, 184) = 2

GCD of 508, 156, 350, 184 is 2

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• GCD of 737, 792, 210, 490
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1. What is the GCD of 508, 156, 350, 184?

GCD of 508, 156, 350, 184 is 2

2. Where do I get the detailed procedure to find GCD of 508, 156, 350, 184?

You can find a detailed procedure to find GCD of 508, 156, 350, 184 on our page.

3. How to find GCD of 508, 156, 350, 184 on a calculator?

You can find the GCD of 508, 156, 350, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.