GCD of 904, 848, 200, 702 Calculator

Given Input numbers are 904, 848, 200, 702

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

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 904, 848, 200, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 848, 200, 702 is 2.

Therefore, GCD of numbers 904, 848, 200, 702 is 2

Given Input Data is 904, 848, 200, 702

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(904, 848) = 95824

GCD(904, 848) = ( 904 x 848 ) / 95824

GCD(904, 848) = 766592 / 95824

GCD(904, 848) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 200

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

LCM(8, 200) = 200

GCD(8, 200) = ( 8 x 200 ) / 200

GCD(8, 200) = 1600 / 200

GCD(8, 200) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 702

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

LCM(8, 702) = 2808

GCD(8, 702) = ( 8 x 702 ) / 2808

GCD(8, 702) = 5616 / 2808

GCD(8, 702) = 2

GCD of 904, 848, 200, 702 is 2

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1. What is the GCD of 904, 848, 200, 702?

GCD of 904, 848, 200, 702 is 2

2. Where do I get the detailed procedure to find GCD of 904, 848, 200, 702?

You can find a detailed procedure to find GCD of 904, 848, 200, 702 on our page.

3. How to find GCD of 904, 848, 200, 702 on a calculator?

You can find the GCD of 904, 848, 200, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.