GCD of 890, 672, 100, 720 Calculator

Given Input numbers are 890, 672, 100, 720

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

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 890, 672, 100, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 672, 100, 720 is 2.

Therefore, GCD of numbers 890, 672, 100, 720 is 2

Given Input Data is 890, 672, 100, 720

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

Prime Factorization of 890 is 2 x 5 x 89

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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(890, 672) = 299040

GCD(890, 672) = ( 890 x 672 ) / 299040

GCD(890, 672) = 598080 / 299040

GCD(890, 672) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 720

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

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

GCD(2, 720) = 1440 / 720

GCD(2, 720) = 2

GCD of 890, 672, 100, 720 is 2

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1. What is the GCD of 890, 672, 100, 720?

GCD of 890, 672, 100, 720 is 2

2. Where do I get the detailed procedure to find GCD of 890, 672, 100, 720?

You can find a detailed procedure to find GCD of 890, 672, 100, 720 on our page.

3. How to find GCD of 890, 672, 100, 720 on a calculator?

You can find the GCD of 890, 672, 100, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.