GCD of 987, 148, 68, 696 Calculator

Given Input numbers are 987, 148, 68, 696

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

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 987, 148, 68, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 148, 68, 696 is 1.

Therefore, GCD of numbers 987, 148, 68, 696 is 1

Given Input Data is 987, 148, 68, 696

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

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(987, 148) = 146076

GCD(987, 148) = ( 987 x 148 ) / 146076

GCD(987, 148) = 146076 / 146076

GCD(987, 148) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 696

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

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

GCD(1, 696) = 696 / 696

GCD(1, 696) = 1

GCD of 987, 148, 68, 696 is 1

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• GCD of 163, 227, 35, 329
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1. What is the GCD of 987, 148, 68, 696?

GCD of 987, 148, 68, 696 is 1

2. Where do I get the detailed procedure to find GCD of 987, 148, 68, 696?

You can find a detailed procedure to find GCD of 987, 148, 68, 696 on our page.

3. How to find GCD of 987, 148, 68, 696 on a calculator?

You can find the GCD of 987, 148, 68, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.