GCD of 297, 654, 847, 700 Calculator

Given Input numbers are 297, 654, 847, 700

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

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 847

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

1, 7, 11, 77, 121, 847

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

Greatest Common Divisior

We found the divisors of 297, 654, 847, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 654, 847, 700 is 1.

Therefore, GCD of numbers 297, 654, 847, 700 is 1

Given Input Data is 297, 654, 847, 700

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 847 is 7 x 11 x 11

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

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(297, 654) = 64746

GCD(297, 654) = ( 297 x 654 ) / 64746

GCD(297, 654) = 194238 / 64746

GCD(297, 654) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 847

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

LCM(3, 847) = 2541

GCD(3, 847) = ( 3 x 847 ) / 2541

GCD(3, 847) = 2541 / 2541

GCD(3, 847) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 297, 654, 847, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 361, 261, 276
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• GCD of 240, 257, 622, 995

1. What is the GCD of 297, 654, 847, 700?

GCD of 297, 654, 847, 700 is 1

2. Where do I get the detailed procedure to find GCD of 297, 654, 847, 700?

You can find a detailed procedure to find GCD of 297, 654, 847, 700 on our page.

3. How to find GCD of 297, 654, 847, 700 on a calculator?

You can find the GCD of 297, 654, 847, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.