Greatest Common Factor of 80/33, 44/63, 262/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/33, 44/63, 262/306

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 80/33,44/63,262/306

Given fractions are 80/33,44/63,262/306

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 80,44,262

Greatest Common Factor of Numerators i.e. GCF of 80,44,262 is 2 .

LCM of Denominators means LCM of 33,63,306 as per the given fractions.

LCM of 33,63,306 is 23562 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,44,262

GCF of Fractions 80/33,44/63,262/306 is 2/23562

2 80, 44, 262
40, 22, 131

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

Greatest Common Factor of 80,44,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,44,262 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 80,44,262 . The biggest common factor number is the GCF number.
So the greatest common factor 80,44,262 is 2.

Lets's calculate LCM of 33,63,306

3 33, 63, 306
3 11, 21, 102
11, 7, 34

∴ So the LCM of the given numbers is 3 x 3 x 11 x 7 x 34 = 23562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23562

Therefore, the GCF of Fractions 80/33,44/63,262/306 is 2/23562

Least Common Multiple of 33,63,306 with GCF Formula

Least Common Multiple of 33,63,306 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 33,63,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,63,306) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(33,63,306) x common factors =3 x 9 = 27

LCM(33,63,306) = ( 33 × 63 × 306 ) / 27

LCM(33,63,306) = 636174 / 27

LCM(33,63,306) = 23562


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 80/33, 44/63, 262/306

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 80/33, 44/63, 262/306?

Answer: GCF of Numerators as per given numbers 80/33, 44/63, 262/306 is

GCF of Numerators i.e. for 80,44,262 is 2

LCM of denominators i.e. for 33,63,306 is 23562.

Thus, GCF of Fractions is 2/23562.Finally, GCF of Fractions for 80/33, 44/63, 262/306 is 2/23562.