GCD of 64, 346, 636, 498 Calculator

Given Input numbers are 64, 346, 636, 498

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

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 498

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

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

Greatest Common Divisior

We found the divisors of 64, 346, 636, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 346, 636, 498 is 2.

Therefore, GCD of numbers 64, 346, 636, 498 is 2

Given Input Data is 64, 346, 636, 498

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

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 346 is 2 x 173

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 498 is 2 x 3 x 83

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(64, 346) = 11072

GCD(64, 346) = ( 64 x 346 ) / 11072

GCD(64, 346) = 22144 / 11072

GCD(64, 346) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 636

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

LCM(2, 636) = 636

GCD(2, 636) = ( 2 x 636 ) / 636

GCD(2, 636) = 1272 / 636

GCD(2, 636) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 498

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

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

GCD(2, 498) = 996 / 498

GCD(2, 498) = 2

GCD of 64, 346, 636, 498 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 651, 853, 541
• GCD of 31, 498, 125, 404
• GCD of 36, 649, 902, 513
• GCD of 65, 258, 226, 289
• GCD of 33, 154, 739, 374

1. What is the GCD of 64, 346, 636, 498?

GCD of 64, 346, 636, 498 is 2

2. Where do I get the detailed procedure to find GCD of 64, 346, 636, 498?

You can find a detailed procedure to find GCD of 64, 346, 636, 498 on our page.

3. How to find GCD of 64, 346, 636, 498 on a calculator?

You can find the GCD of 64, 346, 636, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.