GCD of 771, 360, 131, 711 Calculator

Given Input numbers are 771, 360, 131, 711

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

Divisors of 771

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

1, 3, 257, 771

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Greatest Common Divisior

We found the divisors of 771, 360, 131, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 360, 131, 711 is 1.

Therefore, GCD of numbers 771, 360, 131, 711 is 1

Given Input Data is 771, 360, 131, 711

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

Prime Factorization of 771 is 3 x 257

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 131 is 131

Prime Factorization of 711 is 3 x 3 x 79

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(771, 360) = 92520

GCD(771, 360) = ( 771 x 360 ) / 92520

GCD(771, 360) = 277560 / 92520

GCD(771, 360) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 131

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

LCM(3, 131) = 393

GCD(3, 131) = ( 3 x 131 ) / 393

GCD(3, 131) = 393 / 393

GCD(3, 131) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 711

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

LCM(1, 711) = 711

GCD(1, 711) = ( 1 x 711 ) / 711

GCD(1, 711) = 711 / 711

GCD(1, 711) = 1

GCD of 771, 360, 131, 711 is 1

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1. What is the GCD of 771, 360, 131, 711?

GCD of 771, 360, 131, 711 is 1

2. Where do I get the detailed procedure to find GCD of 771, 360, 131, 711?

You can find a detailed procedure to find GCD of 771, 360, 131, 711 on our page.

3. How to find GCD of 771, 360, 131, 711 on a calculator?

You can find the GCD of 771, 360, 131, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.