GCD of 45, 146, 616, 132 Calculator

Given Input numbers are 45, 146, 616, 132

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 45, 146, 616, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 146, 616, 132 is 1.

Therefore, GCD of numbers 45, 146, 616, 132 is 1

Given Input Data is 45, 146, 616, 132

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 146 is 2 x 73

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 132 is 2 x 2 x 3 x 11

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(45, 146) = 6570

GCD(45, 146) = ( 45 x 146 ) / 6570

GCD(45, 146) = 6570 / 6570

GCD(45, 146) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 616

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

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

GCD(1, 616) = 616 / 616

GCD(1, 616) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 45, 146, 616, 132 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 368, 866, 983
• GCD of 77, 812, 592, 640
• GCD of 95, 505, 589, 194
• GCD of 35, 224, 839, 195
• GCD of 48, 798, 441, 746

1. What is the GCD of 45, 146, 616, 132?

GCD of 45, 146, 616, 132 is 1

2. Where do I get the detailed procedure to find GCD of 45, 146, 616, 132?

You can find a detailed procedure to find GCD of 45, 146, 616, 132 on our page.

3. How to find GCD of 45, 146, 616, 132 on a calculator?

You can find the GCD of 45, 146, 616, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.