Greatest Common Factor of 8274/676, 6418/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8274/676, 6418/411

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 8274/676,6418/411

Given fractions are 8274/676,6418/411

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 8274,6418

Greatest Common Factor of Numerators i.e. GCF of 8274,6418 is 2 .

LCM of Denominators means LCM of 676,411 as per the given fractions.

LCM of 676,411 is 277836 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8274,6418

GCF of Fractions 8274/676,6418/411 is 2/277836

2 8274, 6418
4137, 3209

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

Greatest Common Factor of 8274,6418 By Matching Biggest Common Factor Method

Greatest Common Factor of 8274,6418 By Matching Biggest Common Factor Method

Factors of 8274

List of positive integer factors of 8274 that divides 8274 without a remainder.

1,2,3,6,7,14,21,42,197,394,591,1182,1379,2758,4137,8274

Factors of 6418

List of positive integer factors of 6418 that divides 6418 without a remainder.

1,2,3209,6418

Greatest Common Factor

We found the factors 8274,6418 . The biggest common factor number is the GCF number.
So the greatest common factor 8274,6418 is 2.

Lets's calculate LCM of 676,411

Given numbers has no common factors except 1. So, there LCM is their product i.e 277836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/277836

Therefore, the GCF of Fractions 8274/676,6418/411 is 2/277836

Least Common Multiple of 676,411 with GCF Formula

Least Common Multiple of 676,411 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 676,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,411) = 1

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

GCF(676,411) x common factors =1 x 1 = 1

LCM(676,411) = ( 676 × 411 ) / 1

LCM(676,411) = 277836 / 1

LCM(676,411) = 277836


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 8274/676, 6418/411

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 8274/676, 6418/411?

Answer: GCF of Numerators as per given numbers 8274/676, 6418/411 is

GCF of Numerators i.e. for 8274,6418 is 2

LCM of denominators i.e. for 676,411 is 277836.

Thus, GCF of Fractions is 2/277836.Finally, GCF of Fractions for 8274/676, 6418/411 is 2/277836.