GCD of 504, 760, 65, 785 Calculator

Given Input numbers are 504, 760, 65, 785

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 504, 760, 65, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 760, 65, 785 is 1.

Therefore, GCD of numbers 504, 760, 65, 785 is 1

Given Input Data is 504, 760, 65, 785

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 65 is 5 x 13

Prime Factorization of 785 is 5 x 157

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(504, 760) = 47880

GCD(504, 760) = ( 504 x 760 ) / 47880

GCD(504, 760) = 383040 / 47880

GCD(504, 760) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 65

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

LCM(8, 65) = 520

GCD(8, 65) = ( 8 x 65 ) / 520

GCD(8, 65) = 520 / 520

GCD(8, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

GCD of 504, 760, 65, 785 is 1

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• GCD of 174, 103, 45, 316
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1. What is the GCD of 504, 760, 65, 785?

GCD of 504, 760, 65, 785 is 1

2. Where do I get the detailed procedure to find GCD of 504, 760, 65, 785?

You can find a detailed procedure to find GCD of 504, 760, 65, 785 on our page.

3. How to find GCD of 504, 760, 65, 785 on a calculator?

You can find the GCD of 504, 760, 65, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.