GCD of 771, 879, 705, 232 Calculator

Given Input numbers are 771, 879, 705, 232

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 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 771, 879, 705, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 879, 705, 232 is 1.

Therefore, GCD of numbers 771, 879, 705, 232 is 1

Given Input Data is 771, 879, 705, 232

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

Prime Factorization of 771 is 3 x 257

Prime Factorization of 879 is 3 x 293

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 232 is 2 x 2 x 2 x 29

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, 879) = 225903

GCD(771, 879) = ( 771 x 879 ) / 225903

GCD(771, 879) = 677709 / 225903

GCD(771, 879) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 705

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

LCM(3, 705) = 705

GCD(3, 705) = ( 3 x 705 ) / 705

GCD(3, 705) = 2115 / 705

GCD(3, 705) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 232

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

LCM(3, 232) = 696

GCD(3, 232) = ( 3 x 232 ) / 696

GCD(3, 232) = 696 / 696

GCD(3, 232) = 1

GCD of 771, 879, 705, 232 is 1

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1. What is the GCD of 771, 879, 705, 232?

GCD of 771, 879, 705, 232 is 1

2. Where do I get the detailed procedure to find GCD of 771, 879, 705, 232?

You can find a detailed procedure to find GCD of 771, 879, 705, 232 on our page.

3. How to find GCD of 771, 879, 705, 232 on a calculator?

You can find the GCD of 771, 879, 705, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.