GCD of 642, 526, 25, 490 Calculator

Given Input numbers are 642, 526, 25, 490

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 25

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

1, 5, 25

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

Greatest Common Divisior

We found the divisors of 642, 526, 25, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 526, 25, 490 is 1.

Therefore, GCD of numbers 642, 526, 25, 490 is 1

Given Input Data is 642, 526, 25, 490

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 526 is 2 x 263

Prime Factorization of 25 is 5 x 5

Prime Factorization of 490 is 2 x 5 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(642, 526) = 168846

GCD(642, 526) = ( 642 x 526 ) / 168846

GCD(642, 526) = 337692 / 168846

GCD(642, 526) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

GCD of 642, 526, 25, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 287, 741, 48, 171
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• GCD of 430, 705, 52, 367
• GCD of 892, 912, 88, 587
• GCD of 243, 233, 66, 875

1. What is the GCD of 642, 526, 25, 490?

GCD of 642, 526, 25, 490 is 1

2. Where do I get the detailed procedure to find GCD of 642, 526, 25, 490?

You can find a detailed procedure to find GCD of 642, 526, 25, 490 on our page.

3. How to find GCD of 642, 526, 25, 490 on a calculator?

You can find the GCD of 642, 526, 25, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.