GCD of 352, 124, 31, 699 Calculator

Given Input numbers are 352, 124, 31, 699

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

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 352, 124, 31, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 124, 31, 699 is 1.

Therefore, GCD of numbers 352, 124, 31, 699 is 1

Given Input Data is 352, 124, 31, 699

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 31 is 31

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(352, 124) = 10912

GCD(352, 124) = ( 352 x 124 ) / 10912

GCD(352, 124) = 43648 / 10912

GCD(352, 124) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 31

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

LCM(4, 31) = 124

GCD(4, 31) = ( 4 x 31 ) / 124

GCD(4, 31) = 124 / 124

GCD(4, 31) = 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 352, 124, 31, 699 is 1

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1. What is the GCD of 352, 124, 31, 699?

GCD of 352, 124, 31, 699 is 1

2. Where do I get the detailed procedure to find GCD of 352, 124, 31, 699?

You can find a detailed procedure to find GCD of 352, 124, 31, 699 on our page.

3. How to find GCD of 352, 124, 31, 699 on a calculator?

You can find the GCD of 352, 124, 31, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.