GCD of 697, 884, 67, 100 Calculator

Given Input numbers are 697, 884, 67, 100

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

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

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

Greatest Common Divisior

We found the divisors of 697, 884, 67, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 884, 67, 100 is 1.

Therefore, GCD of numbers 697, 884, 67, 100 is 1

Given Input Data is 697, 884, 67, 100

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 67 is 67

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

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(697, 884) = 36244

GCD(697, 884) = ( 697 x 884 ) / 36244

GCD(697, 884) = 616148 / 36244

GCD(697, 884) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 67

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

LCM(17, 67) = 1139

GCD(17, 67) = ( 17 x 67 ) / 1139

GCD(17, 67) = 1139 / 1139

GCD(17, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 697, 884, 67, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 437, 453, 64, 415
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• GCD of 150, 434, 14, 230
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• GCD of 583, 333, 31, 240

1. What is the GCD of 697, 884, 67, 100?

GCD of 697, 884, 67, 100 is 1

2. Where do I get the detailed procedure to find GCD of 697, 884, 67, 100?

You can find a detailed procedure to find GCD of 697, 884, 67, 100 on our page.

3. How to find GCD of 697, 884, 67, 100 on a calculator?

You can find the GCD of 697, 884, 67, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.