Greatest Common Factor of 344/294, 9761/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 344/294, 9761/370

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 344/294,9761/370

Given fractions are 344/294,9761/370

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 344,9761

Greatest Common Factor of Numerators i.e. GCF of 344,9761 is 43 .

LCM of Denominators means LCM of 294,370 as per the given fractions.

LCM of 294,370 is 54390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 344,9761

GCF of Fractions 344/294,9761/370 is 43/54390

43 344, 9761
8, 227

∴ So the GCF of the given numbers is 43 = 43

Greatest Common Factor of 344,9761 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,9761 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 9761

List of positive integer factors of 9761 that divides 9761 without a remainder.

1,43,227,9761

Greatest Common Factor

We found the factors 344,9761 . The biggest common factor number is the GCF number.
So the greatest common factor 344,9761 is 43.

Lets's calculate LCM of 294,370

2 294, 370
147, 185

∴ So the LCM of the given numbers is 2 x 147 x 185 = 54390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/54390

Therefore, the GCF of Fractions 344/294,9761/370 is 43/54390

Least Common Multiple of 294,370 with GCF Formula

Least Common Multiple of 294,370 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 294,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,370) = 2

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

GCF(294,370) x common factors =2 x 1 = 2

LCM(294,370) = ( 294 × 370 ) / 2

LCM(294,370) = 108780 / 2

LCM(294,370) = 54390


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 344/294, 9761/370

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 344/294, 9761/370?

Answer: GCF of Numerators as per given numbers 344/294, 9761/370 is

GCF of Numerators i.e. for 344,9761 is 43

LCM of denominators i.e. for 294,370 is 54390.

Thus, GCF of Fractions is 43/54390.Finally, GCF of Fractions for 344/294, 9761/370 is 43/54390.