GCD of 802, 712, 770, 896 Calculator

Given Input numbers are 802, 712, 770, 896

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

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 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Greatest Common Divisior

We found the divisors of 802, 712, 770, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 712, 770, 896 is 2.

Therefore, GCD of numbers 802, 712, 770, 896 is 2

Given Input Data is 802, 712, 770, 896

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 712 is 2 x 2 x 2 x 89

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

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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(802, 712) = 285512

GCD(802, 712) = ( 802 x 712 ) / 285512

GCD(802, 712) = 571024 / 285512

GCD(802, 712) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 770

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

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

GCD(2, 770) = 1540 / 770

GCD(2, 770) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 896

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

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

GCD(2, 896) = 1792 / 896

GCD(2, 896) = 2

GCD of 802, 712, 770, 896 is 2

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 802, 712, 770, 896?

GCD of 802, 712, 770, 896 is 2

2. Where do I get the detailed procedure to find GCD of 802, 712, 770, 896?

You can find a detailed procedure to find GCD of 802, 712, 770, 896 on our page.

3. How to find GCD of 802, 712, 770, 896 on a calculator?

You can find the GCD of 802, 712, 770, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.