Greatest Common Factor of 245/46, 380/19, 326/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 245/46, 380/19, 326/874

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 245/46,380/19,326/874

Given fractions are 245/46,380/19,326/874

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 245,380,326

Greatest Common Factor of Numerators i.e. GCF of 245,380,326 is 1 .

LCM of Denominators means LCM of 46,19,874 as per the given fractions.

LCM of 46,19,874 is 874 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 245,380,326

GCF of Fractions 245/46,380/19,326/874 is 1/874

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

Greatest Common Factor of 245,380,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,380,326 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 245,380,326 . The biggest common factor number is the GCF number.
So the greatest common factor 245,380,326 is 1.

Lets's calculate LCM of 46,19,874

2 46, 19, 874
19 23, 19, 437
23 23, 1, 23
1, 1, 1

∴ So the LCM of the given numbers is 2 x 19 x 23 x 1 x 1 x 1 = 874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/874

Therefore, the GCF of Fractions 245/46,380/19,326/874 is 1/874

Least Common Multiple of 46,19,874 with GCF Formula

Least Common Multiple of 46,19,874 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 46,19,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,19,874) = 1

common factors(in case of two or more numbers have common factors) = 874

GCF(46,19,874) x common factors =1 x 874 = 874

LCM(46,19,874) = ( 46 × 19 × 874 ) / 874

LCM(46,19,874) = 763876 / 874

LCM(46,19,874) = 874


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 245/46, 380/19, 326/874

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 245/46, 380/19, 326/874?

Answer: GCF of Numerators as per given numbers 245/46, 380/19, 326/874 is

GCF of Numerators i.e. for 245,380,326 is 1

LCM of denominators i.e. for 46,19,874 is 874.

Thus, GCF of Fractions is 1/874.Finally, GCF of Fractions for 245/46, 380/19, 326/874 is 1/874.