GCD of 640, 430, 958, 498 Calculator

Given Input numbers are 640, 430, 958, 498

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

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

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 640, 430, 958, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 430, 958, 498 is 2.

Therefore, GCD of numbers 640, 430, 958, 498 is 2

Given Input Data is 640, 430, 958, 498

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

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 958 is 2 x 479

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(640, 430) = 27520

GCD(640, 430) = ( 640 x 430 ) / 27520

GCD(640, 430) = 275200 / 27520

GCD(640, 430) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 958

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

LCM(10, 958) = 4790

GCD(10, 958) = ( 10 x 958 ) / 4790

GCD(10, 958) = 9580 / 4790

GCD(10, 958) = 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 640, 430, 958, 498 is 2

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1. What is the GCD of 640, 430, 958, 498?

GCD of 640, 430, 958, 498 is 2

2. Where do I get the detailed procedure to find GCD of 640, 430, 958, 498?

You can find a detailed procedure to find GCD of 640, 430, 958, 498 on our page.

3. How to find GCD of 640, 430, 958, 498 on a calculator?

You can find the GCD of 640, 430, 958, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.