GCD of 688, 976, 27, 142 Calculator

Given Input numbers are 688, 976, 27, 142

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 976

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

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

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 688, 976, 27, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 976, 27, 142 is 1.

Therefore, GCD of numbers 688, 976, 27, 142 is 1

Given Input Data is 688, 976, 27, 142

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 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 142 is 2 x 71

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, 976) = 41968

GCD(688, 976) = ( 688 x 976 ) / 41968

GCD(688, 976) = 671488 / 41968

GCD(688, 976) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 27

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

LCM(16, 27) = 432

GCD(16, 27) = ( 16 x 27 ) / 432

GCD(16, 27) = 432 / 432

GCD(16, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 688, 976, 27, 142 is 1

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1. What is the GCD of 688, 976, 27, 142?

GCD of 688, 976, 27, 142 is 1

2. Where do I get the detailed procedure to find GCD of 688, 976, 27, 142?

You can find a detailed procedure to find GCD of 688, 976, 27, 142 on our page.

3. How to find GCD of 688, 976, 27, 142 on a calculator?

You can find the GCD of 688, 976, 27, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.