GCD of 348, 356, 49, 295 Calculator

Given Input numbers are 348, 356, 49, 295

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 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 348, 356, 49, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 356, 49, 295 is 1.

Therefore, GCD of numbers 348, 356, 49, 295 is 1

Given Input Data is 348, 356, 49, 295

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 356 is 2 x 2 x 89

Prime Factorization of 49 is 7 x 7

Prime Factorization of 295 is 5 x 59

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, 356) = 30972

GCD(348, 356) = ( 348 x 356 ) / 30972

GCD(348, 356) = 123888 / 30972

GCD(348, 356) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 49

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

LCM(4, 49) = 196

GCD(4, 49) = ( 4 x 49 ) / 196

GCD(4, 49) = 196 / 196

GCD(4, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

GCD of 348, 356, 49, 295 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 421, 503, 46, 198
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• GCD of 724, 865, 42, 525

1. What is the GCD of 348, 356, 49, 295?

GCD of 348, 356, 49, 295 is 1

2. Where do I get the detailed procedure to find GCD of 348, 356, 49, 295?

You can find a detailed procedure to find GCD of 348, 356, 49, 295 on our page.

3. How to find GCD of 348, 356, 49, 295 on a calculator?

You can find the GCD of 348, 356, 49, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.