GCD of 520, 148, 711, 351 Calculator

Given Input numbers are 520, 148, 711, 351

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 520, 148, 711, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 148, 711, 351 is 1.

Therefore, GCD of numbers 520, 148, 711, 351 is 1

Given Input Data is 520, 148, 711, 351

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 148 is 2 x 2 x 37

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 351 is 3 x 3 x 3 x 13

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, 148) = 19240

GCD(520, 148) = ( 520 x 148 ) / 19240

GCD(520, 148) = 76960 / 19240

GCD(520, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 711

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

LCM(4, 711) = 2844

GCD(4, 711) = ( 4 x 711 ) / 2844

GCD(4, 711) = 2844 / 2844

GCD(4, 711) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

GCD of 520, 148, 711, 351 is 1

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1. What is the GCD of 520, 148, 711, 351?

GCD of 520, 148, 711, 351 is 1

2. Where do I get the detailed procedure to find GCD of 520, 148, 711, 351?

You can find a detailed procedure to find GCD of 520, 148, 711, 351 on our page.

3. How to find GCD of 520, 148, 711, 351 on a calculator?

You can find the GCD of 520, 148, 711, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.