Greatest Common Factor of 8234/836, 6353/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8234/836, 6353/342

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 8234/836,6353/342

Given fractions are 8234/836,6353/342

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 8234,6353

Greatest Common Factor of Numerators i.e. GCF of 8234,6353 is 1 .

LCM of Denominators means LCM of 836,342 as per the given fractions.

LCM of 836,342 is 7524 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8234,6353

GCF of Fractions 8234/836,6353/342 is 1/7524

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

Greatest Common Factor of 8234,6353 By Matching Biggest Common Factor Method

Greatest Common Factor of 8234,6353 By Matching Biggest Common Factor Method

Factors of 8234

List of positive integer factors of 8234 that divides 8234 without a remainder.

1,2,23,46,179,358,4117,8234

Factors of 6353

List of positive integer factors of 6353 that divides 6353 without a remainder.

1,6353

Greatest Common Factor

We found the factors 8234,6353 . The biggest common factor number is the GCF number.
So the greatest common factor 8234,6353 is 1.

Lets's calculate LCM of 836,342

2 836, 342
19 418, 171
22, 9

∴ So the LCM of the given numbers is 2 x 19 x 22 x 9 = 7524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7524

Therefore, the GCF of Fractions 8234/836,6353/342 is 1/7524

Least Common Multiple of 836,342 with GCF Formula

Least Common Multiple of 836,342 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 836,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,342) = 38

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

GCF(836,342) x common factors =38 x 1 = 38

LCM(836,342) = ( 836 × 342 ) / 38

LCM(836,342) = 285912 / 38

LCM(836,342) = 7524


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 8234/836, 6353/342

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 8234/836, 6353/342?

Answer: GCF of Numerators as per given numbers 8234/836, 6353/342 is

GCF of Numerators i.e. for 8234,6353 is 1

LCM of denominators i.e. for 836,342 is 7524.

Thus, GCF of Fractions is 1/7524.Finally, GCF of Fractions for 8234/836, 6353/342 is 1/7524.