GCD of 960, 494, 412, 147 Calculator

Given Input numbers are 960, 494, 412, 147

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 147

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

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 960, 494, 412, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 494, 412, 147 is 1.

Therefore, GCD of numbers 960, 494, 412, 147 is 1

Given Input Data is 960, 494, 412, 147

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 147 is 3 x 7 x 7

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(960, 494) = 237120

GCD(960, 494) = ( 960 x 494 ) / 237120

GCD(960, 494) = 474240 / 237120

GCD(960, 494) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 412

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

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

GCD(2, 412) = 824 / 412

GCD(2, 412) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 147

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

LCM(2, 147) = 294

GCD(2, 147) = ( 2 x 147 ) / 294

GCD(2, 147) = 294 / 294

GCD(2, 147) = 1

GCD of 960, 494, 412, 147 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 791, 679, 351, 836
• GCD of 323, 206, 543, 463
• GCD of 365, 496, 597, 440
• GCD of 501, 237, 909, 988
• GCD of 696, 118, 408, 662

1. What is the GCD of 960, 494, 412, 147?

GCD of 960, 494, 412, 147 is 1

2. Where do I get the detailed procedure to find GCD of 960, 494, 412, 147?

You can find a detailed procedure to find GCD of 960, 494, 412, 147 on our page.

3. How to find GCD of 960, 494, 412, 147 on a calculator?

You can find the GCD of 960, 494, 412, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.