GCD of 490, 924, 87, 144 Calculator

Given Input numbers are 490, 924, 87, 144

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

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 490, 924, 87, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 924, 87, 144 is 1.

Therefore, GCD of numbers 490, 924, 87, 144 is 1

Given Input Data is 490, 924, 87, 144

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

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 87 is 3 x 29

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(490, 924) = 32340

GCD(490, 924) = ( 490 x 924 ) / 32340

GCD(490, 924) = 452760 / 32340

GCD(490, 924) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 87

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

LCM(14, 87) = 1218

GCD(14, 87) = ( 14 x 87 ) / 1218

GCD(14, 87) = 1218 / 1218

GCD(14, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 490, 924, 87, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 434, 587, 76, 229
• GCD of 577, 136, 78, 216
• GCD of 319, 543, 86, 733
• GCD of 730, 342, 46, 411
• GCD of 115, 818, 75, 686

1. What is the GCD of 490, 924, 87, 144?

GCD of 490, 924, 87, 144 is 1

2. Where do I get the detailed procedure to find GCD of 490, 924, 87, 144?

You can find a detailed procedure to find GCD of 490, 924, 87, 144 on our page.

3. How to find GCD of 490, 924, 87, 144 on a calculator?

You can find the GCD of 490, 924, 87, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.