Greatest Common Factor of 38/355, 313/915, 834/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/355, 313/915, 834/649

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 38/355,313/915,834/649

Given fractions are 38/355,313/915,834/649

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 38,313,834

Greatest Common Factor of Numerators i.e. GCF of 38,313,834 is 1 .

LCM of Denominators means LCM of 355,915,649 as per the given fractions.

LCM of 355,915,649 is 42162285 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,313,834

GCF of Fractions 38/355,313/915,834/649 is 1/42162285

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 38,313,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,313,834 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 38,313,834 . The biggest common factor number is the GCF number.
So the greatest common factor 38,313,834 is 1.

Lets's calculate LCM of 355,915,649

5 355, 915, 649
71, 183, 649

∴ So the LCM of the given numbers is 5 x 71 x 183 x 649 = 42162285

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42162285

Therefore, the GCF of Fractions 38/355,313/915,834/649 is 1/42162285

Least Common Multiple of 355,915,649 with GCF Formula

Least Common Multiple of 355,915,649 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 355,915,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,915,649) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(355,915,649) x common factors =1 x 5 = 5

LCM(355,915,649) = ( 355 × 915 × 649 ) / 5

LCM(355,915,649) = 210811425 / 5

LCM(355,915,649) = 42162285


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 38/355, 313/915, 834/649

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 38/355, 313/915, 834/649?

Answer: GCF of Numerators as per given numbers 38/355, 313/915, 834/649 is

GCF of Numerators i.e. for 38,313,834 is 1

LCM of denominators i.e. for 355,915,649 is 42162285.

Thus, GCF of Fractions is 1/42162285.Finally, GCF of Fractions for 38/355, 313/915, 834/649 is 1/42162285.