GCD of 264, 490, 725 Calculator

Given Input numbers are 264, 490, 725

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 264, 490, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 490, 725 is 1.

Therefore, GCD of numbers 264, 490, 725 is 1

Given Input Data is 264, 490, 725

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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

Prime Factorization of 725 is 5 x 5 x 29

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(264, 490) = 64680

GCD(264, 490) = ( 264 x 490 ) / 64680

GCD(264, 490) = 129360 / 64680

GCD(264, 490) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 725

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

LCM(2, 725) = 1450

GCD(2, 725) = ( 2 x 725 ) / 1450

GCD(2, 725) = 1450 / 1450

GCD(2, 725) = 1

GCD of 264, 490, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 958, 591
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• GCD of 359, 899, 377
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• GCD of 911, 121, 528

1. What is the GCD of 264, 490, 725?

GCD of 264, 490, 725 is 1

2. Where do I get the detailed procedure to find GCD of 264, 490, 725?

You can find a detailed procedure to find GCD of 264, 490, 725 on our page.

3. How to find GCD of 264, 490, 725 on a calculator?

You can find the GCD of 264, 490, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.