GCD of 672, 700, 723, 995 Calculator

Given Input numbers are 672, 700, 723, 995

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

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 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 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Greatest Common Divisior

We found the divisors of 672, 700, 723, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 700, 723, 995 is 1.

Therefore, GCD of numbers 672, 700, 723, 995 is 1

Given Input Data is 672, 700, 723, 995

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

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

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 995 is 5 x 199

The above numbers do not have any common prime factor. So GCD is 1

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(672, 700) = 16800

GCD(672, 700) = ( 672 x 700 ) / 16800

GCD(672, 700) = 470400 / 16800

GCD(672, 700) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 723

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

LCM(28, 723) = 20244

GCD(28, 723) = ( 28 x 723 ) / 20244

GCD(28, 723) = 20244 / 20244

GCD(28, 723) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 995

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

LCM(1, 995) = 995

GCD(1, 995) = ( 1 x 995 ) / 995

GCD(1, 995) = 995 / 995

GCD(1, 995) = 1

GCD of 672, 700, 723, 995 is 1

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1. What is the GCD of 672, 700, 723, 995?

GCD of 672, 700, 723, 995 is 1

2. Where do I get the detailed procedure to find GCD of 672, 700, 723, 995?

You can find a detailed procedure to find GCD of 672, 700, 723, 995 on our page.

3. How to find GCD of 672, 700, 723, 995 on a calculator?

You can find the GCD of 672, 700, 723, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.