GCD of 46, 849, 500, 771 Calculator

Given Input numbers are 46, 849, 500, 771

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 771

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

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 46, 849, 500, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 849, 500, 771 is 1.

Therefore, GCD of numbers 46, 849, 500, 771 is 1

Given Input Data is 46, 849, 500, 771

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 849 is 3 x 283

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 771 is 3 x 257

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(46, 849) = 39054

GCD(46, 849) = ( 46 x 849 ) / 39054

GCD(46, 849) = 39054 / 39054

GCD(46, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

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

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 1

GCD of 46, 849, 500, 771 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 44, 848, 581, 501
• GCD of 32, 451, 372, 933
• GCD of 40, 649, 770, 414
• GCD of 55, 220, 655, 312
• GCD of 81, 225, 924, 693

1. What is the GCD of 46, 849, 500, 771?

GCD of 46, 849, 500, 771 is 1

2. Where do I get the detailed procedure to find GCD of 46, 849, 500, 771?

You can find a detailed procedure to find GCD of 46, 849, 500, 771 on our page.

3. How to find GCD of 46, 849, 500, 771 on a calculator?

You can find the GCD of 46, 849, 500, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.