GCD of 60, 490, 826, 256 Calculator

Given Input numbers are 60, 490, 826, 256

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Greatest Common Divisior

We found the divisors of 60, 490, 826, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 490, 826, 256 is 2.

Therefore, GCD of numbers 60, 490, 826, 256 is 2

Given Input Data is 60, 490, 826, 256

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

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

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(60, 490) = 2940

GCD(60, 490) = ( 60 x 490 ) / 2940

GCD(60, 490) = 29400 / 2940

GCD(60, 490) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 826

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

LCM(10, 826) = 4130

GCD(10, 826) = ( 10 x 826 ) / 4130

GCD(10, 826) = 8260 / 4130

GCD(10, 826) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 256

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

LCM(2, 256) = 256

GCD(2, 256) = ( 2 x 256 ) / 256

GCD(2, 256) = 512 / 256

GCD(2, 256) = 2

GCD of 60, 490, 826, 256 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 635, 617, 756
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• GCD of 44, 133, 771, 383
• GCD of 58, 477, 726, 154
• GCD of 57, 798, 686, 138

1. What is the GCD of 60, 490, 826, 256?

GCD of 60, 490, 826, 256 is 2

2. Where do I get the detailed procedure to find GCD of 60, 490, 826, 256?

You can find a detailed procedure to find GCD of 60, 490, 826, 256 on our page.

3. How to find GCD of 60, 490, 826, 256 on a calculator?

You can find the GCD of 60, 490, 826, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.