GCD of 617, 948, 434, 520 Calculator

Given Input numbers are 617, 948, 434, 520

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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

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

Greatest Common Divisior

We found the divisors of 617, 948, 434, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 948, 434, 520 is 1.

Therefore, GCD of numbers 617, 948, 434, 520 is 1

Given Input Data is 617, 948, 434, 520

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

Prime Factorization of 617 is 617

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 520 is 2 x 2 x 2 x 5 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(617, 948) = 584916

GCD(617, 948) = ( 617 x 948 ) / 584916

GCD(617, 948) = 584916 / 584916

GCD(617, 948) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

GCD of 617, 948, 434, 520 is 1

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1. What is the GCD of 617, 948, 434, 520?

GCD of 617, 948, 434, 520 is 1

2. Where do I get the detailed procedure to find GCD of 617, 948, 434, 520?

You can find a detailed procedure to find GCD of 617, 948, 434, 520 on our page.

3. How to find GCD of 617, 948, 434, 520 on a calculator?

You can find the GCD of 617, 948, 434, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.