GCD of 688, 608, 15, 976 Calculator

Given Input numbers are 688, 608, 15, 976

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Greatest Common Divisior

We found the divisors of 688, 608, 15, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 608, 15, 976 is 1.

Therefore, GCD of numbers 688, 608, 15, 976 is 1

Given Input Data is 688, 608, 15, 976

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 15 is 3 x 5

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

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(688, 608) = 26144

GCD(688, 608) = ( 688 x 608 ) / 26144

GCD(688, 608) = 418304 / 26144

GCD(688, 608) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 15

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

LCM(16, 15) = 240

GCD(16, 15) = ( 16 x 15 ) / 240

GCD(16, 15) = 240 / 240

GCD(16, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 976

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

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

GCD(1, 976) = 976 / 976

GCD(1, 976) = 1

GCD of 688, 608, 15, 976 is 1

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• GCD of 599, 449, 52, 274
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• GCD of 359, 566, 46, 675

1. What is the GCD of 688, 608, 15, 976?

GCD of 688, 608, 15, 976 is 1

2. Where do I get the detailed procedure to find GCD of 688, 608, 15, 976?

You can find a detailed procedure to find GCD of 688, 608, 15, 976 on our page.

3. How to find GCD of 688, 608, 15, 976 on a calculator?

You can find the GCD of 688, 608, 15, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.