GCD of 377, 624, 878, 338 Calculator

Given Input numbers are 377, 624, 878, 338

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

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 377, 624, 878, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 377, 624, 878, 338 is 1.

Therefore, GCD of numbers 377, 624, 878, 338 is 1

Given Input Data is 377, 624, 878, 338

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

Prime Factorization of 377 is 13 x 29

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 878 is 2 x 439

Prime Factorization of 338 is 2 x 13 x 13

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(377, 624) = 18096

GCD(377, 624) = ( 377 x 624 ) / 18096

GCD(377, 624) = 235248 / 18096

GCD(377, 624) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 878

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

LCM(13, 878) = 11414

GCD(13, 878) = ( 13 x 878 ) / 11414

GCD(13, 878) = 11414 / 11414

GCD(13, 878) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 377, 624, 878, 338 is 1

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1. What is the GCD of 377, 624, 878, 338?

GCD of 377, 624, 878, 338 is 1

2. Where do I get the detailed procedure to find GCD of 377, 624, 878, 338?

You can find a detailed procedure to find GCD of 377, 624, 878, 338 on our page.

3. How to find GCD of 377, 624, 878, 338 on a calculator?

You can find the GCD of 377, 624, 878, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.