Greatest Common Factor of 8/33, 84/54, 10/344, 364/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/33, 84/54, 10/344, 364/395

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 8/33,84/54,10/344,364/395

Given fractions are 8/33,84/54,10/344,364/395

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 8,84,10,364

Greatest Common Factor of Numerators i.e. GCF of 8,84,10,364 is 2 .

LCM of Denominators means LCM of 33,54,344,395 as per the given fractions.

LCM of 33,54,344,395 is 40356360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,84,10,364

GCF of Fractions 8/33,84/54,10/344,364/395 is 2/40356360

2 8, 84, 10, 364
4, 42, 5, 182

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

Greatest Common Factor of 8,84,10,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,84,10,364 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 8,84,10,364 . The biggest common factor number is the GCF number.
So the greatest common factor 8,84,10,364 is 2.

Lets's calculate LCM of 33,54,344,395

2 33, 54, 344, 395
3 33, 27, 172, 395
11, 9, 172, 395

∴ So the LCM of the given numbers is 2 x 3 x 11 x 9 x 172 x 395 = 40356360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40356360

Therefore, the GCF of Fractions 8/33,84/54,10/344,364/395 is 2/40356360

Least Common Multiple of 33,54,344,395 with GCF Formula

Least Common Multiple of 33,54,344,395 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 33,54,344,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,54,344,395) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(33,54,344,395) x common factors =1 x 6 = 6

LCM(33,54,344,395) = ( 33 × 54 × 344 × 395 ) / 6

LCM(33,54,344,395) = 242138160 / 6

LCM(33,54,344,395) = 40356360


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 8/33, 84/54, 10/344, 364/395

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 8/33, 84/54, 10/344, 364/395?

Answer: GCF of Numerators as per given numbers 8/33, 84/54, 10/344, 364/395 is

GCF of Numerators i.e. for 8,84,10,364 is 2

LCM of denominators i.e. for 33,54,344,395 is 40356360.

Thus, GCF of Fractions is 2/40356360.Finally, GCF of Fractions for 8/33, 84/54, 10/344, 364/395 is 2/40356360.