GCD of 147, 736, 168, 480 Calculator

Given Input numbers are 147, 736, 168, 480

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

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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 147, 736, 168, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 736, 168, 480 is 1.

Therefore, GCD of numbers 147, 736, 168, 480 is 1

Given Input Data is 147, 736, 168, 480

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

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(147, 736) = 108192

GCD(147, 736) = ( 147 x 736 ) / 108192

GCD(147, 736) = 108192 / 108192

GCD(147, 736) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 168

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

LCM(1, 168) = 168

GCD(1, 168) = ( 1 x 168 ) / 168

GCD(1, 168) = 168 / 168

GCD(1, 168) = 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 147, 736, 168, 480 is 1

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1. What is the GCD of 147, 736, 168, 480?

GCD of 147, 736, 168, 480 is 1

2. Where do I get the detailed procedure to find GCD of 147, 736, 168, 480?

You can find a detailed procedure to find GCD of 147, 736, 168, 480 on our page.

3. How to find GCD of 147, 736, 168, 480 on a calculator?

You can find the GCD of 147, 736, 168, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.