GCD of 882, 769, 45, 311 Calculator

Given Input numbers are 882, 769, 45, 311

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

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

Divisors of 769

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

1, 769

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 882, 769, 45, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 769, 45, 311 is 1.

Therefore, GCD of numbers 882, 769, 45, 311 is 1

Given Input Data is 882, 769, 45, 311

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

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

Prime Factorization of 769 is 769

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 311 is 311

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(882, 769) = 678258

GCD(882, 769) = ( 882 x 769 ) / 678258

GCD(882, 769) = 678258 / 678258

GCD(882, 769) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

GCD of 882, 769, 45, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 113, 38, 690
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• GCD of 947, 880, 45, 303

1. What is the GCD of 882, 769, 45, 311?

GCD of 882, 769, 45, 311 is 1

2. Where do I get the detailed procedure to find GCD of 882, 769, 45, 311?

You can find a detailed procedure to find GCD of 882, 769, 45, 311 on our page.

3. How to find GCD of 882, 769, 45, 311 on a calculator?

You can find the GCD of 882, 769, 45, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.