Greatest Common Factor of 814/334, 9350/541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 814/334, 9350/541

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 814/334,9350/541

Given fractions are 814/334,9350/541

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 814,9350

Greatest Common Factor of Numerators i.e. GCF of 814,9350 is 22 .

LCM of Denominators means LCM of 334,541 as per the given fractions.

LCM of 334,541 is 180694 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 814,9350

GCF of Fractions 814/334,9350/541 is 22/180694

2 814, 9350
11 407, 4675
37, 425

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 814,9350 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,9350 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 9350

List of positive integer factors of 9350 that divides 9350 without a remainder.

1,2,5,10,11,17,22,25,34,50,55,85,110,170,187,275,374,425,550,850,935,1870,4675,9350

Greatest Common Factor

We found the factors 814,9350 . The biggest common factor number is the GCF number.
So the greatest common factor 814,9350 is 22.

Lets's calculate LCM of 334,541

Given numbers has no common factors except 1. So, there LCM is their product i.e 180694

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/180694

Therefore, the GCF of Fractions 814/334,9350/541 is 22/180694

Least Common Multiple of 334,541 with GCF Formula

Least Common Multiple of 334,541 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 334,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,541) = 1

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

GCF(334,541) x common factors =1 x 1 = 1

LCM(334,541) = ( 334 × 541 ) / 1

LCM(334,541) = 180694 / 1

LCM(334,541) = 180694


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 814/334, 9350/541

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 814/334, 9350/541?

Answer: GCF of Numerators as per given numbers 814/334, 9350/541 is

GCF of Numerators i.e. for 814,9350 is 22

LCM of denominators i.e. for 334,541 is 180694.

Thus, GCF of Fractions is 22/180694.Finally, GCF of Fractions for 814/334, 9350/541 is 22/180694.