GCD of 520, 998, 977, 784 Calculator

Given Input numbers are 520, 998, 977, 784

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

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 520, 998, 977, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 998, 977, 784 is 1.

Therefore, GCD of numbers 520, 998, 977, 784 is 1

Given Input Data is 520, 998, 977, 784

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

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 998 is 2 x 499

Prime Factorization of 977 is 977

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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(520, 998) = 259480

GCD(520, 998) = ( 520 x 998 ) / 259480

GCD(520, 998) = 518960 / 259480

GCD(520, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 977

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

LCM(2, 977) = 1954

GCD(2, 977) = ( 2 x 977 ) / 1954

GCD(2, 977) = 1954 / 1954

GCD(2, 977) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 520, 998, 977, 784 is 1

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1. What is the GCD of 520, 998, 977, 784?

GCD of 520, 998, 977, 784 is 1

2. Where do I get the detailed procedure to find GCD of 520, 998, 977, 784?

You can find a detailed procedure to find GCD of 520, 998, 977, 784 on our page.

3. How to find GCD of 520, 998, 977, 784 on a calculator?

You can find the GCD of 520, 998, 977, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.