GCD of 654, 238, 97, 700 Calculator

Given Input numbers are 654, 238, 97, 700

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

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 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

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 654, 238, 97, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 238, 97, 700 is 1.

Therefore, GCD of numbers 654, 238, 97, 700 is 1

Given Input Data is 654, 238, 97, 700

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 97 is 97

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(654, 238) = 77826

GCD(654, 238) = ( 654 x 238 ) / 77826

GCD(654, 238) = 155652 / 77826

GCD(654, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 97

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

LCM(2, 97) = 194

GCD(2, 97) = ( 2 x 97 ) / 194

GCD(2, 97) = 194 / 194

GCD(2, 97) = 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 654, 238, 97, 700 is 1

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• GCD of 302, 505, 50, 855
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1. What is the GCD of 654, 238, 97, 700?

GCD of 654, 238, 97, 700 is 1

2. Where do I get the detailed procedure to find GCD of 654, 238, 97, 700?

You can find a detailed procedure to find GCD of 654, 238, 97, 700 on our page.

3. How to find GCD of 654, 238, 97, 700 on a calculator?

You can find the GCD of 654, 238, 97, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.