GCD of 310, 771, 11, 101 Calculator

Given Input numbers are 310, 771, 11, 101

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 310, 771, 11, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 771, 11, 101 is 1.

Therefore, GCD of numbers 310, 771, 11, 101 is 1

Given Input Data is 310, 771, 11, 101

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 771 is 3 x 257

Prime Factorization of 11 is 11

Prime Factorization of 101 is 101

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(310, 771) = 239010

GCD(310, 771) = ( 310 x 771 ) / 239010

GCD(310, 771) = 239010 / 239010

GCD(310, 771) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 310, 771, 11, 101 is 1

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1. What is the GCD of 310, 771, 11, 101?

GCD of 310, 771, 11, 101 is 1

2. Where do I get the detailed procedure to find GCD of 310, 771, 11, 101?

You can find a detailed procedure to find GCD of 310, 771, 11, 101 on our page.

3. How to find GCD of 310, 771, 11, 101 on a calculator?

You can find the GCD of 310, 771, 11, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.