GCD of 610, 504, 830, 928 Calculator

Given Input numbers are 610, 504, 830, 928

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

Divisors of 610

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

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Greatest Common Divisior

We found the divisors of 610, 504, 830, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 504, 830, 928 is 2.

Therefore, GCD of numbers 610, 504, 830, 928 is 2

Given Input Data is 610, 504, 830, 928

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

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

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(610, 504) = 153720

GCD(610, 504) = ( 610 x 504 ) / 153720

GCD(610, 504) = 307440 / 153720

GCD(610, 504) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 830

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

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

GCD(2, 830) = 1660 / 830

GCD(2, 830) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 928

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

LCM(2, 928) = 928

GCD(2, 928) = ( 2 x 928 ) / 928

GCD(2, 928) = 1856 / 928

GCD(2, 928) = 2

GCD of 610, 504, 830, 928 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 617, 990, 528
• GCD of 176, 953, 148, 627
• GCD of 300, 787, 163, 520
• GCD of 133, 531, 549, 708
• GCD of 937, 328, 665, 428

1. What is the GCD of 610, 504, 830, 928?

GCD of 610, 504, 830, 928 is 2

2. Where do I get the detailed procedure to find GCD of 610, 504, 830, 928?

You can find a detailed procedure to find GCD of 610, 504, 830, 928 on our page.

3. How to find GCD of 610, 504, 830, 928 on a calculator?

You can find the GCD of 610, 504, 830, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.