Greatest Common Factor of 3014/38, 4358/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3014/38, 4358/273

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 3014/38,4358/273

Given fractions are 3014/38,4358/273

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 3014,4358

Greatest Common Factor of Numerators i.e. GCF of 3014,4358 is 2 .

LCM of Denominators means LCM of 38,273 as per the given fractions.

LCM of 38,273 is 10374 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3014,4358

GCF of Fractions 3014/38,4358/273 is 2/10374

2 3014, 4358
1507, 2179

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

Greatest Common Factor of 3014,4358 By Matching Biggest Common Factor Method

Greatest Common Factor of 3014,4358 By Matching Biggest Common Factor Method

Factors of 3014

List of positive integer factors of 3014 that divides 3014 without a remainder.

1,2,11,22,137,274,1507,3014

Factors of 4358

List of positive integer factors of 4358 that divides 4358 without a remainder.

1,2,2179,4358

Greatest Common Factor

We found the factors 3014,4358 . The biggest common factor number is the GCF number.
So the greatest common factor 3014,4358 is 2.

Lets's calculate LCM of 38,273

Given numbers has no common factors except 1. So, there LCM is their product i.e 10374

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10374

Therefore, the GCF of Fractions 3014/38,4358/273 is 2/10374

Least Common Multiple of 38,273 with GCF Formula

Least Common Multiple of 38,273 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 38,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,273) = 1

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

GCF(38,273) x common factors =1 x 1 = 1

LCM(38,273) = ( 38 × 273 ) / 1

LCM(38,273) = 10374 / 1

LCM(38,273) = 10374


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 3014/38, 4358/273

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 3014/38, 4358/273?

Answer: GCF of Numerators as per given numbers 3014/38, 4358/273 is

GCF of Numerators i.e. for 3014,4358 is 2

LCM of denominators i.e. for 38,273 is 10374.

Thus, GCF of Fractions is 2/10374.Finally, GCF of Fractions for 3014/38, 4358/273 is 2/10374.