GCD of 496, 416, 980, 533 Calculator

Given Input numbers are 496, 416, 980, 533

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Greatest Common Divisior

We found the divisors of 496, 416, 980, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 416, 980, 533 is 1.

Therefore, GCD of numbers 496, 416, 980, 533 is 1

Given Input Data is 496, 416, 980, 533

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 533 is 13 x 41

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(496, 416) = 12896

GCD(496, 416) = ( 496 x 416 ) / 12896

GCD(496, 416) = 206336 / 12896

GCD(496, 416) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 980

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

LCM(16, 980) = 3920

GCD(16, 980) = ( 16 x 980 ) / 3920

GCD(16, 980) = 15680 / 3920

GCD(16, 980) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 533

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

LCM(4, 533) = 2132

GCD(4, 533) = ( 4 x 533 ) / 2132

GCD(4, 533) = 2132 / 2132

GCD(4, 533) = 1

GCD of 496, 416, 980, 533 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 856, 836, 707, 935
• GCD of 230, 292, 441, 540
• GCD of 481, 974, 375, 535
• GCD of 473, 335, 410, 763
• GCD of 281, 578, 520, 922

1. What is the GCD of 496, 416, 980, 533?

GCD of 496, 416, 980, 533 is 1

2. Where do I get the detailed procedure to find GCD of 496, 416, 980, 533?

You can find a detailed procedure to find GCD of 496, 416, 980, 533 on our page.

3. How to find GCD of 496, 416, 980, 533 on a calculator?

You can find the GCD of 496, 416, 980, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.