Greatest Common Factor of 9746/842, 2715/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9746/842, 2715/838

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 9746/842,2715/838

Given fractions are 9746/842,2715/838

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 9746,2715

Greatest Common Factor of Numerators i.e. GCF of 9746,2715 is 1 .

LCM of Denominators means LCM of 842,838 as per the given fractions.

LCM of 842,838 is 352798 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9746,2715

GCF of Fractions 9746/842,2715/838 is 1/352798

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

Greatest Common Factor of 9746,2715 By Matching Biggest Common Factor Method

Greatest Common Factor of 9746,2715 By Matching Biggest Common Factor Method

Factors of 9746

List of positive integer factors of 9746 that divides 9746 without a remainder.

1,2,11,22,443,886,4873,9746

Factors of 2715

List of positive integer factors of 2715 that divides 2715 without a remainder.

1,3,5,15,181,543,905,2715

Greatest Common Factor

We found the factors 9746,2715 . The biggest common factor number is the GCF number.
So the greatest common factor 9746,2715 is 1.

Lets's calculate LCM of 842,838

2 842, 838
421, 419

∴ So the LCM of the given numbers is 2 x 421 x 419 = 352798

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/352798

Therefore, the GCF of Fractions 9746/842,2715/838 is 1/352798

Least Common Multiple of 842,838 with GCF Formula

Least Common Multiple of 842,838 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 842,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,838) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(842,838) x common factors =2 x 1 = 2

LCM(842,838) = ( 842 × 838 ) / 2

LCM(842,838) = 705596 / 2

LCM(842,838) = 352798


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 9746/842, 2715/838

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 9746/842, 2715/838?

Answer: GCF of Numerators as per given numbers 9746/842, 2715/838 is

GCF of Numerators i.e. for 9746,2715 is 1

LCM of denominators i.e. for 842,838 is 352798.

Thus, GCF of Fractions is 1/352798.Finally, GCF of Fractions for 9746/842, 2715/838 is 1/352798.