GCD of 102, 734, 600, 802 Calculator

Given Input numbers are 102, 734, 600, 802

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 802

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

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 102, 734, 600, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 734, 600, 802 is 2.

Therefore, GCD of numbers 102, 734, 600, 802 is 2

Given Input Data is 102, 734, 600, 802

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 734 is 2 x 367

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 802 is 2 x 401

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(102, 734) = 37434

GCD(102, 734) = ( 102 x 734 ) / 37434

GCD(102, 734) = 74868 / 37434

GCD(102, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 600

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

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

GCD(2, 600) = 1200 / 600

GCD(2, 600) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 802

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

LCM(2, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

GCD(2, 802) = 1604 / 802

GCD(2, 802) = 2

GCD of 102, 734, 600, 802 is 2

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1. What is the GCD of 102, 734, 600, 802?

GCD of 102, 734, 600, 802 is 2

2. Where do I get the detailed procedure to find GCD of 102, 734, 600, 802?

You can find a detailed procedure to find GCD of 102, 734, 600, 802 on our page.

3. How to find GCD of 102, 734, 600, 802 on a calculator?

You can find the GCD of 102, 734, 600, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.