GCD of 699, 700, 552, 679 Calculator

Given Input numbers are 699, 700, 552, 679

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

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

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 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 699, 700, 552, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 700, 552, 679 is 1.

Therefore, GCD of numbers 699, 700, 552, 679 is 1

Given Input Data is 699, 700, 552, 679

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

Prime Factorization of 699 is 3 x 233

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 679 is 7 x 97

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(699, 700) = 489300

GCD(699, 700) = ( 699 x 700 ) / 489300

GCD(699, 700) = 489300 / 489300

GCD(699, 700) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 552

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

LCM(1, 552) = 552

GCD(1, 552) = ( 1 x 552 ) / 552

GCD(1, 552) = 552 / 552

GCD(1, 552) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 679

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

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

GCD(1, 679) = 679 / 679

GCD(1, 679) = 1

GCD of 699, 700, 552, 679 is 1

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1. What is the GCD of 699, 700, 552, 679?

GCD of 699, 700, 552, 679 is 1

2. Where do I get the detailed procedure to find GCD of 699, 700, 552, 679?

You can find a detailed procedure to find GCD of 699, 700, 552, 679 on our page.

3. How to find GCD of 699, 700, 552, 679 on a calculator?

You can find the GCD of 699, 700, 552, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.