GCD of 520, 120, 917, 709 Calculator

Given Input numbers are 520, 120, 917, 709

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 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 520, 120, 917, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 120, 917, 709 is 1.

Therefore, GCD of numbers 520, 120, 917, 709 is 1

Given Input Data is 520, 120, 917, 709

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 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 917 is 7 x 131

Prime Factorization of 709 is 709

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, 120) = 1560

GCD(520, 120) = ( 520 x 120 ) / 1560

GCD(520, 120) = 62400 / 1560

GCD(520, 120) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 917

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

LCM(40, 917) = 36680

GCD(40, 917) = ( 40 x 917 ) / 36680

GCD(40, 917) = 36680 / 36680

GCD(40, 917) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 520, 120, 917, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 260, 338, 335
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• GCD of 240, 543, 409, 905
• GCD of 902, 199, 671, 703
• GCD of 379, 814, 608, 840

1. What is the GCD of 520, 120, 917, 709?

GCD of 520, 120, 917, 709 is 1

2. Where do I get the detailed procedure to find GCD of 520, 120, 917, 709?

You can find a detailed procedure to find GCD of 520, 120, 917, 709 on our page.

3. How to find GCD of 520, 120, 917, 709 on a calculator?

You can find the GCD of 520, 120, 917, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.