GCD of 969, 401, 58, 112 Calculator

Given Input numbers are 969, 401, 58, 112

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

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 969, 401, 58, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 401, 58, 112 is 1.

Therefore, GCD of numbers 969, 401, 58, 112 is 1

Given Input Data is 969, 401, 58, 112

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

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 401 is 401

Prime Factorization of 58 is 2 x 29

Prime Factorization of 112 is 2 x 2 x 2 x 2 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(969, 401) = 388569

GCD(969, 401) = ( 969 x 401 ) / 388569

GCD(969, 401) = 388569 / 388569

GCD(969, 401) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 969, 401, 58, 112 is 1

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1. What is the GCD of 969, 401, 58, 112?

GCD of 969, 401, 58, 112 is 1

2. Where do I get the detailed procedure to find GCD of 969, 401, 58, 112?

You can find a detailed procedure to find GCD of 969, 401, 58, 112 on our page.

3. How to find GCD of 969, 401, 58, 112 on a calculator?

You can find the GCD of 969, 401, 58, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.