GCD of 498, 352, 169, 270 Calculator

Given Input numbers are 498, 352, 169, 270

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

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 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 498, 352, 169, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 352, 169, 270 is 1.

Therefore, GCD of numbers 498, 352, 169, 270 is 1

Given Input Data is 498, 352, 169, 270

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 169 is 13 x 13

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

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(498, 352) = 87648

GCD(498, 352) = ( 498 x 352 ) / 87648

GCD(498, 352) = 175296 / 87648

GCD(498, 352) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 169

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

LCM(2, 169) = 338

GCD(2, 169) = ( 2 x 169 ) / 338

GCD(2, 169) = 338 / 338

GCD(2, 169) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 270

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

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

GCD(1, 270) = 270 / 270

GCD(1, 270) = 1

GCD of 498, 352, 169, 270 is 1

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1. What is the GCD of 498, 352, 169, 270?

GCD of 498, 352, 169, 270 is 1

2. Where do I get the detailed procedure to find GCD of 498, 352, 169, 270?

You can find a detailed procedure to find GCD of 498, 352, 169, 270 on our page.

3. How to find GCD of 498, 352, 169, 270 on a calculator?

You can find the GCD of 498, 352, 169, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.