GCD of 348, 664, 48, 774 Calculator

Given Input numbers are 348, 664, 48, 774

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 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 348, 664, 48, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 664, 48, 774 is 2.

Therefore, GCD of numbers 348, 664, 48, 774 is 2

Given Input Data is 348, 664, 48, 774

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 664 is 2 x 2 x 2 x 83

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 774 is 2 x 3 x 3 x 43

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 664) = 57768

GCD(348, 664) = ( 348 x 664 ) / 57768

GCD(348, 664) = 231072 / 57768

GCD(348, 664) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 48

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

LCM(4, 48) = 48

GCD(4, 48) = ( 4 x 48 ) / 48

GCD(4, 48) = 192 / 48

GCD(4, 48) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 774

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

LCM(4, 774) = 1548

GCD(4, 774) = ( 4 x 774 ) / 1548

GCD(4, 774) = 3096 / 1548

GCD(4, 774) = 2

GCD of 348, 664, 48, 774 is 2

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1. What is the GCD of 348, 664, 48, 774?

GCD of 348, 664, 48, 774 is 2

2. Where do I get the detailed procedure to find GCD of 348, 664, 48, 774?

You can find a detailed procedure to find GCD of 348, 664, 48, 774 on our page.

3. How to find GCD of 348, 664, 48, 774 on a calculator?

You can find the GCD of 348, 664, 48, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.