Greatest Common Factor of 383/686, 4346/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 383/686, 4346/228

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 383/686,4346/228

Given fractions are 383/686,4346/228

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 383,4346

Greatest Common Factor of Numerators i.e. GCF of 383,4346 is 1 .

LCM of Denominators means LCM of 686,228 as per the given fractions.

LCM of 686,228 is 78204 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 383,4346

GCF of Fractions 383/686,4346/228 is 1/78204

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

Greatest Common Factor of 383,4346 By Matching Biggest Common Factor Method

Greatest Common Factor of 383,4346 By Matching Biggest Common Factor Method

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Factors of 4346

List of positive integer factors of 4346 that divides 4346 without a remainder.

1,2,41,53,82,106,2173,4346

Greatest Common Factor

We found the factors 383,4346 . The biggest common factor number is the GCF number.
So the greatest common factor 383,4346 is 1.

Lets's calculate LCM of 686,228

2 686, 228
343, 114

∴ So the LCM of the given numbers is 2 x 343 x 114 = 78204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78204

Therefore, the GCF of Fractions 383/686,4346/228 is 1/78204

Least Common Multiple of 686,228 with GCF Formula

Least Common Multiple of 686,228 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 686,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,228) = 2

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

GCF(686,228) x common factors =2 x 1 = 2

LCM(686,228) = ( 686 × 228 ) / 2

LCM(686,228) = 156408 / 2

LCM(686,228) = 78204


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 383/686, 4346/228

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 383/686, 4346/228?

Answer: GCF of Numerators as per given numbers 383/686, 4346/228 is

GCF of Numerators i.e. for 383,4346 is 1

LCM of denominators i.e. for 686,228 is 78204.

Thus, GCF of Fractions is 1/78204.Finally, GCF of Fractions for 383/686, 4346/228 is 1/78204.