GCD of 540, 126, 164, 142 Calculator

Given Input numbers are 540, 126, 164, 142

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

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 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 540, 126, 164, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 126, 164, 142 is 2.

Therefore, GCD of numbers 540, 126, 164, 142 is 2

Given Input Data is 540, 126, 164, 142

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

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 142 is 2 x 71

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(540, 126) = 3780

GCD(540, 126) = ( 540 x 126 ) / 3780

GCD(540, 126) = 68040 / 3780

GCD(540, 126) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 164

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

LCM(18, 164) = 1476

GCD(18, 164) = ( 18 x 164 ) / 1476

GCD(18, 164) = 2952 / 1476

GCD(18, 164) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 142

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

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

GCD(2, 142) = 284 / 142

GCD(2, 142) = 2

GCD of 540, 126, 164, 142 is 2

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• GCD of 805, 309, 305, 991
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• GCD of 178, 166, 623, 848
• GCD of 870, 400, 361, 796

1. What is the GCD of 540, 126, 164, 142?

GCD of 540, 126, 164, 142 is 2

2. Where do I get the detailed procedure to find GCD of 540, 126, 164, 142?

You can find a detailed procedure to find GCD of 540, 126, 164, 142 on our page.

3. How to find GCD of 540, 126, 164, 142 on a calculator?

You can find the GCD of 540, 126, 164, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.