GCD of 210, 847, 392, 672 Calculator

Given Input numbers are 210, 847, 392, 672

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Greatest Common Divisior

We found the divisors of 210, 847, 392, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 847, 392, 672 is 7.

Therefore, GCD of numbers 210, 847, 392, 672 is 7

Given Input Data is 210, 847, 392, 672

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 847 is 7 x 11 x 11

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(210, 847) = 25410

GCD(210, 847) = ( 210 x 847 ) / 25410

GCD(210, 847) = 177870 / 25410

GCD(210, 847) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 392

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

LCM(7, 392) = 392

GCD(7, 392) = ( 7 x 392 ) / 392

GCD(7, 392) = 2744 / 392

GCD(7, 392) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 672

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

LCM(7, 672) = 672

GCD(7, 672) = ( 7 x 672 ) / 672

GCD(7, 672) = 4704 / 672

GCD(7, 672) = 7

GCD of 210, 847, 392, 672 is 7

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1. What is the GCD of 210, 847, 392, 672?

GCD of 210, 847, 392, 672 is 7

2. Where do I get the detailed procedure to find GCD of 210, 847, 392, 672?

You can find a detailed procedure to find GCD of 210, 847, 392, 672 on our page.

3. How to find GCD of 210, 847, 392, 672 on a calculator?

You can find the GCD of 210, 847, 392, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.