Greatest Common Factor of 8366/16, 4180/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8366/16, 4180/410

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 8366/16,4180/410

Given fractions are 8366/16,4180/410

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 8366,4180

Greatest Common Factor of Numerators i.e. GCF of 8366,4180 is 2 .

LCM of Denominators means LCM of 16,410 as per the given fractions.

LCM of 16,410 is 3280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8366,4180

GCF of Fractions 8366/16,4180/410 is 2/3280

2 8366, 4180
4183, 2090

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

Greatest Common Factor of 8366,4180 By Matching Biggest Common Factor Method

Greatest Common Factor of 8366,4180 By Matching Biggest Common Factor Method

Factors of 8366

List of positive integer factors of 8366 that divides 8366 without a remainder.

1,2,47,89,94,178,4183,8366

Factors of 4180

List of positive integer factors of 4180 that divides 4180 without a remainder.

1,2,4,5,10,11,19,20,22,38,44,55,76,95,110,190,209,220,380,418,836,1045,2090,4180

Greatest Common Factor

We found the factors 8366,4180 . The biggest common factor number is the GCF number.
So the greatest common factor 8366,4180 is 2.

Lets's calculate LCM of 16,410

2 16, 410
8, 205

∴ So the LCM of the given numbers is 2 x 8 x 205 = 3280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3280

Therefore, the GCF of Fractions 8366/16,4180/410 is 2/3280

Least Common Multiple of 16,410 with GCF Formula

Least Common Multiple of 16,410 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 16,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,410) = 2

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

GCF(16,410) x common factors =2 x 1 = 2

LCM(16,410) = ( 16 × 410 ) / 2

LCM(16,410) = 6560 / 2

LCM(16,410) = 3280


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8366/16, 4180/410

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 8366/16, 4180/410?

Answer: GCF of Numerators as per given numbers 8366/16, 4180/410 is

GCF of Numerators i.e. for 8366,4180 is 2

LCM of denominators i.e. for 16,410 is 3280.

Thus, GCF of Fractions is 2/3280.Finally, GCF of Fractions for 8366/16, 4180/410 is 2/3280.