GCD of 748, 774, 857, 765 Calculator

Given Input numbers are 748, 774, 857, 765

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 748, 774, 857, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 774, 857, 765 is 1.

Therefore, GCD of numbers 748, 774, 857, 765 is 1

Given Input Data is 748, 774, 857, 765

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 857 is 857

Prime Factorization of 765 is 3 x 3 x 5 x 17

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(748, 774) = 289476

GCD(748, 774) = ( 748 x 774 ) / 289476

GCD(748, 774) = 578952 / 289476

GCD(748, 774) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 857

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

LCM(2, 857) = 1714

GCD(2, 857) = ( 2 x 857 ) / 1714

GCD(2, 857) = 1714 / 1714

GCD(2, 857) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 765

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

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

GCD(1, 765) = 765 / 765

GCD(1, 765) = 1

GCD of 748, 774, 857, 765 is 1

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1. What is the GCD of 748, 774, 857, 765?

GCD of 748, 774, 857, 765 is 1

2. Where do I get the detailed procedure to find GCD of 748, 774, 857, 765?

You can find a detailed procedure to find GCD of 748, 774, 857, 765 on our page.

3. How to find GCD of 748, 774, 857, 765 on a calculator?

You can find the GCD of 748, 774, 857, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.