GCD of 148, 294, 99, 465 Calculator

Given Input numbers are 148, 294, 99, 465

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 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 148, 294, 99, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 294, 99, 465 is 1.

Therefore, GCD of numbers 148, 294, 99, 465 is 1

Given Input Data is 148, 294, 99, 465

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 294 is 2 x 3 x 7 x 7

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 465 is 3 x 5 x 31

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, 294) = 21756

GCD(148, 294) = ( 148 x 294 ) / 21756

GCD(148, 294) = 43512 / 21756

GCD(148, 294) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

GCD of 148, 294, 99, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 498, 81, 825
• GCD of 873, 937, 41, 680
• GCD of 205, 186, 94, 749
• GCD of 224, 151, 18, 719
• GCD of 189, 997, 98, 975

1. What is the GCD of 148, 294, 99, 465?

GCD of 148, 294, 99, 465 is 1

2. Where do I get the detailed procedure to find GCD of 148, 294, 99, 465?

You can find a detailed procedure to find GCD of 148, 294, 99, 465 on our page.

3. How to find GCD of 148, 294, 99, 465 on a calculator?

You can find the GCD of 148, 294, 99, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.