GCD of 800, 578, 78, 748 Calculator

Given Input numbers are 800, 578, 78, 748

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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

Greatest Common Divisior

We found the divisors of 800, 578, 78, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 578, 78, 748 is 2.

Therefore, GCD of numbers 800, 578, 78, 748 is 2

Given Input Data is 800, 578, 78, 748

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 78 is 2 x 3 x 13

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

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(800, 578) = 231200

GCD(800, 578) = ( 800 x 578 ) / 231200

GCD(800, 578) = 462400 / 231200

GCD(800, 578) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 748

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

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

GCD(2, 748) = 1496 / 748

GCD(2, 748) = 2

GCD of 800, 578, 78, 748 is 2

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• GCD of 994, 289, 45, 836
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1. What is the GCD of 800, 578, 78, 748?

GCD of 800, 578, 78, 748 is 2

2. Where do I get the detailed procedure to find GCD of 800, 578, 78, 748?

You can find a detailed procedure to find GCD of 800, 578, 78, 748 on our page.

3. How to find GCD of 800, 578, 78, 748 on a calculator?

You can find the GCD of 800, 578, 78, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.