GCD of 498, 160, 628, 448 Calculator

Given Input numbers are 498, 160, 628, 448

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 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 498, 160, 628, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 160, 628, 448 is 2.

Therefore, GCD of numbers 498, 160, 628, 448 is 2

Given Input Data is 498, 160, 628, 448

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 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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(498, 160) = 39840

GCD(498, 160) = ( 498 x 160 ) / 39840

GCD(498, 160) = 79680 / 39840

GCD(498, 160) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 628

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

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

GCD(2, 628) = 1256 / 628

GCD(2, 628) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 448

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

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

GCD(2, 448) = 896 / 448

GCD(2, 448) = 2

GCD of 498, 160, 628, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 933, 316, 546, 320
• GCD of 975, 461, 303, 303
• GCD of 989, 688, 907, 136
• GCD of 208, 115, 167, 847
• GCD of 259, 265, 912, 899

1. What is the GCD of 498, 160, 628, 448?

GCD of 498, 160, 628, 448 is 2

2. Where do I get the detailed procedure to find GCD of 498, 160, 628, 448?

You can find a detailed procedure to find GCD of 498, 160, 628, 448 on our page.

3. How to find GCD of 498, 160, 628, 448 on a calculator?

You can find the GCD of 498, 160, 628, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.