GCD of 760, 130, 415, 853 Calculator

Given Input numbers are 760, 130, 415, 853

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

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 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 760, 130, 415, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 130, 415, 853 is 1.

Therefore, GCD of numbers 760, 130, 415, 853 is 1

Given Input Data is 760, 130, 415, 853

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

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 415 is 5 x 83

Prime Factorization of 853 is 853

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(760, 130) = 9880

GCD(760, 130) = ( 760 x 130 ) / 9880

GCD(760, 130) = 98800 / 9880

GCD(760, 130) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 415

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

LCM(10, 415) = 830

GCD(10, 415) = ( 10 x 415 ) / 830

GCD(10, 415) = 4150 / 830

GCD(10, 415) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 853

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

LCM(5, 853) = 4265

GCD(5, 853) = ( 5 x 853 ) / 4265

GCD(5, 853) = 4265 / 4265

GCD(5, 853) = 1

GCD of 760, 130, 415, 853 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 421, 456, 633
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• GCD of 911, 511, 349, 854
• GCD of 579, 729, 962, 306

1. What is the GCD of 760, 130, 415, 853?

GCD of 760, 130, 415, 853 is 1

2. Where do I get the detailed procedure to find GCD of 760, 130, 415, 853?

You can find a detailed procedure to find GCD of 760, 130, 415, 853 on our page.

3. How to find GCD of 760, 130, 415, 853 on a calculator?

You can find the GCD of 760, 130, 415, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.