GCD of 910, 600, 490, 820 Calculator

Given Input numbers are 910, 600, 490, 820

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

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 910, 600, 490, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 600, 490, 820 is 10.

Therefore, GCD of numbers 910, 600, 490, 820 is 10

Given Input Data is 910, 600, 490, 820

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

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Highest common occurrences in the given inputs are 2¹ x 5¹

Multiplying them we get the GCD as 10

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(910, 600) = 54600

GCD(910, 600) = ( 910 x 600 ) / 54600

GCD(910, 600) = 546000 / 54600

GCD(910, 600) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 490

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

LCM(10, 490) = 490

GCD(10, 490) = ( 10 x 490 ) / 490

GCD(10, 490) = 4900 / 490

GCD(10, 490) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 820

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

LCM(10, 820) = 820

GCD(10, 820) = ( 10 x 820 ) / 820

GCD(10, 820) = 8200 / 820

GCD(10, 820) = 10

GCD of 910, 600, 490, 820 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 789, 978, 633, 293
• GCD of 417, 335, 240, 883
• GCD of 793, 643, 269, 840
• GCD of 508, 484, 509, 331
• GCD of 700, 603, 966, 917

1. What is the GCD of 910, 600, 490, 820?

GCD of 910, 600, 490, 820 is 10

2. Where do I get the detailed procedure to find GCD of 910, 600, 490, 820?

You can find a detailed procedure to find GCD of 910, 600, 490, 820 on our page.

3. How to find GCD of 910, 600, 490, 820 on a calculator?

You can find the GCD of 910, 600, 490, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.