GCD of 148, 552, 292, 537 Calculator

Given Input numbers are 148, 552, 292, 537

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 537

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

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 148, 552, 292, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 552, 292, 537 is 1.

Therefore, GCD of numbers 148, 552, 292, 537 is 1

Given Input Data is 148, 552, 292, 537

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 537 is 3 x 179

The above numbers do not have any common prime factor. So GCD is 1

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(148, 552) = 20424

GCD(148, 552) = ( 148 x 552 ) / 20424

GCD(148, 552) = 81696 / 20424

GCD(148, 552) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 292

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

LCM(4, 292) = 292

GCD(4, 292) = ( 4 x 292 ) / 292

GCD(4, 292) = 1168 / 292

GCD(4, 292) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 537

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

LCM(4, 537) = 2148

GCD(4, 537) = ( 4 x 537 ) / 2148

GCD(4, 537) = 2148 / 2148

GCD(4, 537) = 1

GCD of 148, 552, 292, 537 is 1

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1. What is the GCD of 148, 552, 292, 537?

GCD of 148, 552, 292, 537 is 1

2. Where do I get the detailed procedure to find GCD of 148, 552, 292, 537?

You can find a detailed procedure to find GCD of 148, 552, 292, 537 on our page.

3. How to find GCD of 148, 552, 292, 537 on a calculator?

You can find the GCD of 148, 552, 292, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.