GCD of 148, 990, 77, 522 Calculator

Given Input numbers are 148, 990, 77, 522

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 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Greatest Common Divisior

We found the divisors of 148, 990, 77, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 990, 77, 522 is 1.

Therefore, GCD of numbers 148, 990, 77, 522 is 1

Given Input Data is 148, 990, 77, 522

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 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 77 is 7 x 11

Prime Factorization of 522 is 2 x 3 x 3 x 29

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, 990) = 73260

GCD(148, 990) = ( 148 x 990 ) / 73260

GCD(148, 990) = 146520 / 73260

GCD(148, 990) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

GCD of 148, 990, 77, 522 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 444, 810, 49, 320
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• GCD of 476, 802, 65, 101
• GCD of 451, 413, 52, 514
• GCD of 348, 453, 49, 296

1. What is the GCD of 148, 990, 77, 522?

GCD of 148, 990, 77, 522 is 1

2. Where do I get the detailed procedure to find GCD of 148, 990, 77, 522?

You can find a detailed procedure to find GCD of 148, 990, 77, 522 on our page.

3. How to find GCD of 148, 990, 77, 522 on a calculator?

You can find the GCD of 148, 990, 77, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.