GCD of 29, 392, 957, 105 Calculator

Given Input numbers are 29, 392, 957, 105

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

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 29, 392, 957, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 392, 957, 105 is 1.

Therefore, GCD of numbers 29, 392, 957, 105 is 1

Given Input Data is 29, 392, 957, 105

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

Prime Factorization of 29 is 29

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 105 is 3 x 5 x 7

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(29, 392) = 11368

GCD(29, 392) = ( 29 x 392 ) / 11368

GCD(29, 392) = 11368 / 11368

GCD(29, 392) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 957

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

LCM(1, 957) = 957

GCD(1, 957) = ( 1 x 957 ) / 957

GCD(1, 957) = 957 / 957

GCD(1, 957) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 29, 392, 957, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 155, 968, 361
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• GCD of 44, 447, 727, 138
• GCD of 14, 124, 982, 401
• GCD of 99, 547, 720, 596

1. What is the GCD of 29, 392, 957, 105?

GCD of 29, 392, 957, 105 is 1

2. Where do I get the detailed procedure to find GCD of 29, 392, 957, 105?

You can find a detailed procedure to find GCD of 29, 392, 957, 105 on our page.

3. How to find GCD of 29, 392, 957, 105 on a calculator?

You can find the GCD of 29, 392, 957, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.