GCD of 536, 700, 14, 842 Calculator

Given Input numbers are 536, 700, 14, 842

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

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 536, 700, 14, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 700, 14, 842 is 2.

Therefore, GCD of numbers 536, 700, 14, 842 is 2

Given Input Data is 536, 700, 14, 842

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

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 14 is 2 x 7

Prime Factorization of 842 is 2 x 421

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(536, 700) = 93800

GCD(536, 700) = ( 536 x 700 ) / 93800

GCD(536, 700) = 375200 / 93800

GCD(536, 700) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 14

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

LCM(4, 14) = 28

GCD(4, 14) = ( 4 x 14 ) / 28

GCD(4, 14) = 56 / 28

GCD(4, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 842

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

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

GCD(2, 842) = 1684 / 842

GCD(2, 842) = 2

GCD of 536, 700, 14, 842 is 2

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1. What is the GCD of 536, 700, 14, 842?

GCD of 536, 700, 14, 842 is 2

2. Where do I get the detailed procedure to find GCD of 536, 700, 14, 842?

You can find a detailed procedure to find GCD of 536, 700, 14, 842 on our page.

3. How to find GCD of 536, 700, 14, 842 on a calculator?

You can find the GCD of 536, 700, 14, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.