GCD of 348, 929, 988, 972 Calculator

Given Input numbers are 348, 929, 988, 972

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 348, 929, 988, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 929, 988, 972 is 1.

Therefore, GCD of numbers 348, 929, 988, 972 is 1

Given Input Data is 348, 929, 988, 972

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 929 is 929

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(348, 929) = 323292

GCD(348, 929) = ( 348 x 929 ) / 323292

GCD(348, 929) = 323292 / 323292

GCD(348, 929) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 348, 929, 988, 972 is 1

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1. What is the GCD of 348, 929, 988, 972?

GCD of 348, 929, 988, 972 is 1

2. Where do I get the detailed procedure to find GCD of 348, 929, 988, 972?

You can find a detailed procedure to find GCD of 348, 929, 988, 972 on our page.

3. How to find GCD of 348, 929, 988, 972 on a calculator?

You can find the GCD of 348, 929, 988, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.