GCD of 520, 760, 174, 769 Calculator

Given Input numbers are 520, 760, 174, 769

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 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 520, 760, 174, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 760, 174, 769 is 1.

Therefore, GCD of numbers 520, 760, 174, 769 is 1

Given Input Data is 520, 760, 174, 769

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 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 769 is 769

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, 760) = 9880

GCD(520, 760) = ( 520 x 760 ) / 9880

GCD(520, 760) = 395200 / 9880

GCD(520, 760) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 174

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

LCM(40, 174) = 3480

GCD(40, 174) = ( 40 x 174 ) / 3480

GCD(40, 174) = 6960 / 3480

GCD(40, 174) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 769

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

LCM(2, 769) = 1538

GCD(2, 769) = ( 2 x 769 ) / 1538

GCD(2, 769) = 1538 / 1538

GCD(2, 769) = 1

GCD of 520, 760, 174, 769 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 453, 444, 667
• GCD of 782, 474, 697, 341
• GCD of 939, 989, 247, 147
• GCD of 670, 540, 463, 929
• GCD of 705, 984, 530, 664

1. What is the GCD of 520, 760, 174, 769?

GCD of 520, 760, 174, 769 is 1

2. Where do I get the detailed procedure to find GCD of 520, 760, 174, 769?

You can find a detailed procedure to find GCD of 520, 760, 174, 769 on our page.

3. How to find GCD of 520, 760, 174, 769 on a calculator?

You can find the GCD of 520, 760, 174, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.