GCD of 868, 764, 544, 770 Calculator

Given Input numbers are 868, 764, 544, 770

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

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

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

Greatest Common Divisior

We found the divisors of 868, 764, 544, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 764, 544, 770 is 2.

Therefore, GCD of numbers 868, 764, 544, 770 is 2

Given Input Data is 868, 764, 544, 770

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

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(868, 764) = 165788

GCD(868, 764) = ( 868 x 764 ) / 165788

GCD(868, 764) = 663152 / 165788

GCD(868, 764) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 544

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

LCM(4, 544) = 544

GCD(4, 544) = ( 4 x 544 ) / 544

GCD(4, 544) = 2176 / 544

GCD(4, 544) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 770

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

LCM(4, 770) = 1540

GCD(4, 770) = ( 4 x 770 ) / 1540

GCD(4, 770) = 3080 / 1540

GCD(4, 770) = 2

GCD of 868, 764, 544, 770 is 2

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1. What is the GCD of 868, 764, 544, 770?

GCD of 868, 764, 544, 770 is 2

2. Where do I get the detailed procedure to find GCD of 868, 764, 544, 770?

You can find a detailed procedure to find GCD of 868, 764, 544, 770 on our page.

3. How to find GCD of 868, 764, 544, 770 on a calculator?

You can find the GCD of 868, 764, 544, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.