GCD of 851, 849, 770, 749 Calculator

Given Input numbers are 851, 849, 770, 749

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

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 849

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

1, 3, 283, 849

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 851, 849, 770, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 851, 849, 770, 749 is 1.

Therefore, GCD of numbers 851, 849, 770, 749 is 1

Given Input Data is 851, 849, 770, 749

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

Prime Factorization of 851 is 23 x 37

Prime Factorization of 849 is 3 x 283

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 749 is 7 x 107

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(851, 849) = 722499

GCD(851, 849) = ( 851 x 849 ) / 722499

GCD(851, 849) = 722499 / 722499

GCD(851, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 770

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

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

GCD(1, 770) = 770 / 770

GCD(1, 770) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 851, 849, 770, 749 is 1

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1. What is the GCD of 851, 849, 770, 749?

GCD of 851, 849, 770, 749 is 1

2. Where do I get the detailed procedure to find GCD of 851, 849, 770, 749?

You can find a detailed procedure to find GCD of 851, 849, 770, 749 on our page.

3. How to find GCD of 851, 849, 770, 749 on a calculator?

You can find the GCD of 851, 849, 770, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.