GCD of 630, 490, 224, 169 Calculator

Given Input numbers are 630, 490, 224, 169

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

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

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 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 630, 490, 224, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 490, 224, 169 is 1.

Therefore, GCD of numbers 630, 490, 224, 169 is 1

Given Input Data is 630, 490, 224, 169

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

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 169 is 13 x 13

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(630, 490) = 4410

GCD(630, 490) = ( 630 x 490 ) / 4410

GCD(630, 490) = 308700 / 4410

GCD(630, 490) = 70

Step2:

Here we consider the GCD from the above i.e. 70 as first number and the next as 224

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

LCM(70, 224) = 1120

GCD(70, 224) = ( 70 x 224 ) / 1120

GCD(70, 224) = 15680 / 1120

GCD(70, 224) = 14

Step3:

Here we consider the GCD from the above i.e. 14 as first number and the next as 169

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

LCM(14, 169) = 2366

GCD(14, 169) = ( 14 x 169 ) / 2366

GCD(14, 169) = 2366 / 2366

GCD(14, 169) = 1

GCD of 630, 490, 224, 169 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 234, 352, 927
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• GCD of 629, 542, 250, 772
• GCD of 566, 591, 899, 223
• GCD of 889, 723, 634, 215

1. What is the GCD of 630, 490, 224, 169?

GCD of 630, 490, 224, 169 is 1

2. Where do I get the detailed procedure to find GCD of 630, 490, 224, 169?

You can find a detailed procedure to find GCD of 630, 490, 224, 169 on our page.

3. How to find GCD of 630, 490, 224, 169 on a calculator?

You can find the GCD of 630, 490, 224, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.