GCD of 490, 351, 25, 553 Calculator

Given Input numbers are 490, 351, 25, 553

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 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 490, 351, 25, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 351, 25, 553 is 1.

Therefore, GCD of numbers 490, 351, 25, 553 is 1

Given Input Data is 490, 351, 25, 553

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 351 is 3 x 3 x 3 x 13

Prime Factorization of 25 is 5 x 5

Prime Factorization of 553 is 7 x 79

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, 351) = 171990

GCD(490, 351) = ( 490 x 351 ) / 171990

GCD(490, 351) = 171990 / 171990

GCD(490, 351) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 490, 351, 25, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 705, 600, 44, 902
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• GCD of 536, 162, 10, 300
• GCD of 980, 237, 12, 660
• GCD of 678, 728, 21, 184

1. What is the GCD of 490, 351, 25, 553?

GCD of 490, 351, 25, 553 is 1

2. Where do I get the detailed procedure to find GCD of 490, 351, 25, 553?

You can find a detailed procedure to find GCD of 490, 351, 25, 553 on our page.

3. How to find GCD of 490, 351, 25, 553 on a calculator?

You can find the GCD of 490, 351, 25, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.