GCD of 149, 101, 296, 480 Calculator

Given Input numbers are 149, 101, 296, 480

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

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 149, 101, 296, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 101, 296, 480 is 1.

Therefore, GCD of numbers 149, 101, 296, 480 is 1

Given Input Data is 149, 101, 296, 480

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

Prime Factorization of 149 is 149

Prime Factorization of 101 is 101

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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(149, 101) = 15049

GCD(149, 101) = ( 149 x 101 ) / 15049

GCD(149, 101) = 15049 / 15049

GCD(149, 101) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 149, 101, 296, 480 is 1

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1. What is the GCD of 149, 101, 296, 480?

GCD of 149, 101, 296, 480 is 1

2. Where do I get the detailed procedure to find GCD of 149, 101, 296, 480?

You can find a detailed procedure to find GCD of 149, 101, 296, 480 on our page.

3. How to find GCD of 149, 101, 296, 480 on a calculator?

You can find the GCD of 149, 101, 296, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.