GCD of 195, 537, 252, 144 Calculator

Given Input numbers are 195, 537, 252, 144

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

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 195, 537, 252, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 537, 252, 144 is 3.

Therefore, GCD of numbers 195, 537, 252, 144 is 3

Given Input Data is 195, 537, 252, 144

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

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 537 is 3 x 179

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(195, 537) = 34905

GCD(195, 537) = ( 195 x 537 ) / 34905

GCD(195, 537) = 104715 / 34905

GCD(195, 537) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 252

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

LCM(3, 252) = 252

GCD(3, 252) = ( 3 x 252 ) / 252

GCD(3, 252) = 756 / 252

GCD(3, 252) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 144

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

LCM(3, 144) = 144

GCD(3, 144) = ( 3 x 144 ) / 144

GCD(3, 144) = 432 / 144

GCD(3, 144) = 3

GCD of 195, 537, 252, 144 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 214, 651, 952
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• GCD of 264, 399, 238, 969
• GCD of 751, 131, 778, 219
• GCD of 972, 171, 264, 129

1. What is the GCD of 195, 537, 252, 144?

GCD of 195, 537, 252, 144 is 3

2. Where do I get the detailed procedure to find GCD of 195, 537, 252, 144?

You can find a detailed procedure to find GCD of 195, 537, 252, 144 on our page.

3. How to find GCD of 195, 537, 252, 144 on a calculator?

You can find the GCD of 195, 537, 252, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.