GCD of 50, 326, 974, 610 Calculator

Given Input numbers are 50, 326, 974, 610

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Greatest Common Divisior

We found the divisors of 50, 326, 974, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 326, 974, 610 is 2.

Therefore, GCD of numbers 50, 326, 974, 610 is 2

Given Input Data is 50, 326, 974, 610

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 326 is 2 x 163

Prime Factorization of 974 is 2 x 487

Prime Factorization of 610 is 2 x 5 x 61

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(50, 326) = 8150

GCD(50, 326) = ( 50 x 326 ) / 8150

GCD(50, 326) = 16300 / 8150

GCD(50, 326) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 974

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

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

GCD(2, 974) = 1948 / 974

GCD(2, 974) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 610

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

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

GCD(2, 610) = 1220 / 610

GCD(2, 610) = 2

GCD of 50, 326, 974, 610 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 785, 574, 630
• GCD of 17, 155, 391, 421
• GCD of 79, 103, 178, 907
• GCD of 29, 394, 722, 817
• GCD of 70, 609, 575, 955

1. What is the GCD of 50, 326, 974, 610?

GCD of 50, 326, 974, 610 is 2

2. Where do I get the detailed procedure to find GCD of 50, 326, 974, 610?

You can find a detailed procedure to find GCD of 50, 326, 974, 610 on our page.

3. How to find GCD of 50, 326, 974, 610 on a calculator?

You can find the GCD of 50, 326, 974, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.