Greatest Common Factor of 1676/368, 9214/7314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1676/368, 9214/7314

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 1676/368,9214/7314

Given fractions are 1676/368,9214/7314

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 1676,9214

Greatest Common Factor of Numerators i.e. GCF of 1676,9214 is 2 .

LCM of Denominators means LCM of 368,7314 as per the given fractions.

LCM of 368,7314 is 58512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1676,9214

GCF of Fractions 1676/368,9214/7314 is 2/58512

2 1676, 9214
838, 4607

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1676,9214 By Matching Biggest Common Factor Method

Greatest Common Factor of 1676,9214 By Matching Biggest Common Factor Method

Factors of 1676

List of positive integer factors of 1676 that divides 1676 without a remainder.

1,2,4,419,838,1676

Factors of 9214

List of positive integer factors of 9214 that divides 9214 without a remainder.

1,2,17,34,271,542,4607,9214

Greatest Common Factor

We found the factors 1676,9214 . The biggest common factor number is the GCF number.
So the greatest common factor 1676,9214 is 2.

Lets's calculate LCM of 368,7314

2 368, 7314
23 184, 3657
8, 159

∴ So the LCM of the given numbers is 2 x 23 x 8 x 159 = 58512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/58512

Therefore, the GCF of Fractions 1676/368,9214/7314 is 2/58512

Least Common Multiple of 368,7314 with GCF Formula

Least Common Multiple of 368,7314 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 368,7314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,7314) = 46

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

GCF(368,7314) x common factors =46 x 1 = 46

LCM(368,7314) = ( 368 × 7314 ) / 46

LCM(368,7314) = 2691552 / 46

LCM(368,7314) = 58512


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 1676/368, 9214/7314

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 1676/368, 9214/7314?

Answer: GCF of Numerators as per given numbers 1676/368, 9214/7314 is

GCF of Numerators i.e. for 1676,9214 is 2

LCM of denominators i.e. for 368,7314 is 58512.

Thus, GCF of Fractions is 2/58512.Finally, GCF of Fractions for 1676/368, 9214/7314 is 2/58512.