GCD of 348, 185, 77, 308 Calculator

Given Input numbers are 348, 185, 77, 308

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 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 348, 185, 77, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 185, 77, 308 is 1.

Therefore, GCD of numbers 348, 185, 77, 308 is 1

Given Input Data is 348, 185, 77, 308

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 185 is 5 x 37

Prime Factorization of 77 is 7 x 11

Prime Factorization of 308 is 2 x 2 x 7 x 11

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, 185) = 64380

GCD(348, 185) = ( 348 x 185 ) / 64380

GCD(348, 185) = 64380 / 64380

GCD(348, 185) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 348, 185, 77, 308 is 1

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• GCD of 568, 173, 79, 142
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• GCD of 434, 442, 63, 814

1. What is the GCD of 348, 185, 77, 308?

GCD of 348, 185, 77, 308 is 1

2. Where do I get the detailed procedure to find GCD of 348, 185, 77, 308?

You can find a detailed procedure to find GCD of 348, 185, 77, 308 on our page.

3. How to find GCD of 348, 185, 77, 308 on a calculator?

You can find the GCD of 348, 185, 77, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.