Greatest Common Factor of 293/72, 714/6338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 293/72, 714/6338

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 293/72,714/6338

Given fractions are 293/72,714/6338

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 293,714

Greatest Common Factor of Numerators i.e. GCF of 293,714 is 1 .

LCM of Denominators means LCM of 72,6338 as per the given fractions.

LCM of 72,6338 is 228168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 293,714

GCF of Fractions 293/72,714/6338 is 1/228168

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

Greatest Common Factor of 293,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 293,714 By Matching Biggest Common Factor Method

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 293,714 . The biggest common factor number is the GCF number.
So the greatest common factor 293,714 is 1.

Lets's calculate LCM of 72,6338

2 72, 6338
36, 3169

∴ So the LCM of the given numbers is 2 x 36 x 3169 = 228168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228168

Therefore, the GCF of Fractions 293/72,714/6338 is 1/228168

Least Common Multiple of 72,6338 with GCF Formula

Least Common Multiple of 72,6338 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 72,6338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,6338) = 2

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

GCF(72,6338) x common factors =2 x 1 = 2

LCM(72,6338) = ( 72 × 6338 ) / 2

LCM(72,6338) = 456336 / 2

LCM(72,6338) = 228168


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 293/72, 714/6338

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 293/72, 714/6338?

Answer: GCF of Numerators as per given numbers 293/72, 714/6338 is

GCF of Numerators i.e. for 293,714 is 1

LCM of denominators i.e. for 72,6338 is 228168.

Thus, GCF of Fractions is 1/228168.Finally, GCF of Fractions for 293/72, 714/6338 is 1/228168.