GCD of 461, 392, 760, 882 Calculator

Given Input numbers are 461, 392, 760, 882

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

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

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 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Greatest Common Divisior

We found the divisors of 461, 392, 760, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 392, 760, 882 is 1.

Therefore, GCD of numbers 461, 392, 760, 882 is 1

Given Input Data is 461, 392, 760, 882

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

Prime Factorization of 461 is 461

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

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

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

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(461, 392) = 180712

GCD(461, 392) = ( 461 x 392 ) / 180712

GCD(461, 392) = 180712 / 180712

GCD(461, 392) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 882

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

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

GCD(1, 882) = 882 / 882

GCD(1, 882) = 1

GCD of 461, 392, 760, 882 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 461, 392, 760, 882?

GCD of 461, 392, 760, 882 is 1

2. Where do I get the detailed procedure to find GCD of 461, 392, 760, 882?

You can find a detailed procedure to find GCD of 461, 392, 760, 882 on our page.

3. How to find GCD of 461, 392, 760, 882 on a calculator?

You can find the GCD of 461, 392, 760, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.