GCD of 10, 760, 501, 904 Calculator

Given Input numbers are 10, 760, 501, 904

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Greatest Common Divisior

We found the divisors of 10, 760, 501, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 760, 501, 904 is 1.

Therefore, GCD of numbers 10, 760, 501, 904 is 1

Given Input Data is 10, 760, 501, 904

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

Prime Factorization of 10 is 2 x 5

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 904 is 2 x 2 x 2 x 113

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(10, 760) = 760

GCD(10, 760) = ( 10 x 760 ) / 760

GCD(10, 760) = 7600 / 760

GCD(10, 760) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 501

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

LCM(10, 501) = 5010

GCD(10, 501) = ( 10 x 501 ) / 5010

GCD(10, 501) = 5010 / 5010

GCD(10, 501) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 904

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

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

GCD(1, 904) = 904 / 904

GCD(1, 904) = 1

GCD of 10, 760, 501, 904 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 498, 224, 200
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• GCD of 75, 670, 187, 448
• GCD of 69, 454, 647, 293
• GCD of 80, 654, 875, 196

1. What is the GCD of 10, 760, 501, 904?

GCD of 10, 760, 501, 904 is 1

2. Where do I get the detailed procedure to find GCD of 10, 760, 501, 904?

You can find a detailed procedure to find GCD of 10, 760, 501, 904 on our page.

3. How to find GCD of 10, 760, 501, 904 on a calculator?

You can find the GCD of 10, 760, 501, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.