GCD of 976, 344, 21, 699 Calculator

Given Input numbers are 976, 344, 21, 699

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

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 344

List of positive integer divisors of 344 that divides 344 without a remainder.

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 976, 344, 21, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 344, 21, 699 is 1.

Therefore, GCD of numbers 976, 344, 21, 699 is 1

Given Input Data is 976, 344, 21, 699

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

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 21 is 3 x 7

Prime Factorization of 699 is 3 x 233

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(976, 344) = 41968

GCD(976, 344) = ( 976 x 344 ) / 41968

GCD(976, 344) = 335744 / 41968

GCD(976, 344) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 21

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

LCM(8, 21) = 168

GCD(8, 21) = ( 8 x 21 ) / 168

GCD(8, 21) = 168 / 168

GCD(8, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 976, 344, 21, 699 is 1

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• GCD of 809, 110, 78, 260
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1. What is the GCD of 976, 344, 21, 699?

GCD of 976, 344, 21, 699 is 1

2. Where do I get the detailed procedure to find GCD of 976, 344, 21, 699?

You can find a detailed procedure to find GCD of 976, 344, 21, 699 on our page.

3. How to find GCD of 976, 344, 21, 699 on a calculator?

You can find the GCD of 976, 344, 21, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.