GCD of 158, 540, 64, 172 Calculator

Given Input numbers are 158, 540, 64, 172

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

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 158, 540, 64, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 158, 540, 64, 172 is 2.

Therefore, GCD of numbers 158, 540, 64, 172 is 2

Given Input Data is 158, 540, 64, 172

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

Prime Factorization of 158 is 2 x 79

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 172 is 2 x 2 x 43

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(158, 540) = 42660

GCD(158, 540) = ( 158 x 540 ) / 42660

GCD(158, 540) = 85320 / 42660

GCD(158, 540) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 172

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

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

GCD(2, 172) = 344 / 172

GCD(2, 172) = 2

GCD of 158, 540, 64, 172 is 2

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1. What is the GCD of 158, 540, 64, 172?

GCD of 158, 540, 64, 172 is 2

2. Where do I get the detailed procedure to find GCD of 158, 540, 64, 172?

You can find a detailed procedure to find GCD of 158, 540, 64, 172 on our page.

3. How to find GCD of 158, 540, 64, 172 on a calculator?

You can find the GCD of 158, 540, 64, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.