GCD of 260, 850, 654, 824 Calculator

Given Input numbers are 260, 850, 654, 824

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 260, 850, 654, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 850, 654, 824 is 2.

Therefore, GCD of numbers 260, 850, 654, 824 is 2

Given Input Data is 260, 850, 654, 824

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(260, 850) = 22100

GCD(260, 850) = ( 260 x 850 ) / 22100

GCD(260, 850) = 221000 / 22100

GCD(260, 850) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 654

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

LCM(10, 654) = 3270

GCD(10, 654) = ( 10 x 654 ) / 3270

GCD(10, 654) = 6540 / 3270

GCD(10, 654) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 824

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

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

GCD(2, 824) = 1648 / 824

GCD(2, 824) = 2

GCD of 260, 850, 654, 824 is 2

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1. What is the GCD of 260, 850, 654, 824?

GCD of 260, 850, 654, 824 is 2

2. Where do I get the detailed procedure to find GCD of 260, 850, 654, 824?

You can find a detailed procedure to find GCD of 260, 850, 654, 824 on our page.

3. How to find GCD of 260, 850, 654, 824 on a calculator?

You can find the GCD of 260, 850, 654, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.