GCD of 304, 700, 56, 182 Calculator

Given Input numbers are 304, 700, 56, 182

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Greatest Common Divisior

We found the divisors of 304, 700, 56, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 700, 56, 182 is 2.

Therefore, GCD of numbers 304, 700, 56, 182 is 2

Given Input Data is 304, 700, 56, 182

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 182 is 2 x 7 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(304, 700) = 53200

GCD(304, 700) = ( 304 x 700 ) / 53200

GCD(304, 700) = 212800 / 53200

GCD(304, 700) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 56

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

LCM(4, 56) = 56

GCD(4, 56) = ( 4 x 56 ) / 56

GCD(4, 56) = 224 / 56

GCD(4, 56) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 182

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

LCM(4, 182) = 364

GCD(4, 182) = ( 4 x 182 ) / 364

GCD(4, 182) = 728 / 364

GCD(4, 182) = 2

GCD of 304, 700, 56, 182 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 580, 492, 15, 768
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• GCD of 724, 656, 29, 133
• GCD of 134, 762, 72, 952
• GCD of 413, 367, 87, 469

1. What is the GCD of 304, 700, 56, 182?

GCD of 304, 700, 56, 182 is 2

2. Where do I get the detailed procedure to find GCD of 304, 700, 56, 182?

You can find a detailed procedure to find GCD of 304, 700, 56, 182 on our page.

3. How to find GCD of 304, 700, 56, 182 on a calculator?

You can find the GCD of 304, 700, 56, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.