GCD of 10, 498, 918, 202 Calculator

Given Input numbers are 10, 498, 918, 202

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 10, 498, 918, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 498, 918, 202 is 2.

Therefore, GCD of numbers 10, 498, 918, 202 is 2

Given Input Data is 10, 498, 918, 202

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 202 is 2 x 101

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(10, 498) = 2490

GCD(10, 498) = ( 10 x 498 ) / 2490

GCD(10, 498) = 4980 / 2490

GCD(10, 498) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 918

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

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

GCD(2, 918) = 1836 / 918

GCD(2, 918) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 202

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

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

GCD(2, 202) = 404 / 202

GCD(2, 202) = 2

GCD of 10, 498, 918, 202 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 98, 977, 135, 976
• GCD of 94, 975, 582, 576
• GCD of 73, 644, 909, 832
• GCD of 77, 630, 131, 540
• GCD of 22, 865, 238, 931

1. What is the GCD of 10, 498, 918, 202?

GCD of 10, 498, 918, 202 is 2

2. Where do I get the detailed procedure to find GCD of 10, 498, 918, 202?

You can find a detailed procedure to find GCD of 10, 498, 918, 202 on our page.

3. How to find GCD of 10, 498, 918, 202 on a calculator?

You can find the GCD of 10, 498, 918, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.