Greatest Common Factor of 8/55, 17/83, 36/330, 422/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/55, 17/83, 36/330, 422/969

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 8/55,17/83,36/330,422/969

Given fractions are 8/55,17/83,36/330,422/969

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 8,17,36,422

Greatest Common Factor of Numerators i.e. GCF of 8,17,36,422 is 1 .

LCM of Denominators means LCM of 55,83,330,969 as per the given fractions.

LCM of 55,83,330,969 is 8846970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,17,36,422

GCF of Fractions 8/55,17/83,36/330,422/969 is 1/8846970

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

Greatest Common Factor of 8,17,36,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,17,36,422 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 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 8,17,36,422 . The biggest common factor number is the GCF number.
So the greatest common factor 8,17,36,422 is 1.

Lets's calculate LCM of 55,83,330,969

3 55, 83, 330, 969
5 55, 83, 110, 323
11 11, 83, 22, 323
1, 83, 2, 323

∴ So the LCM of the given numbers is 3 x 5 x 11 x 1 x 83 x 2 x 323 = 8846970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8846970

Therefore, the GCF of Fractions 8/55,17/83,36/330,422/969 is 1/8846970

Least Common Multiple of 55,83,330,969 with GCF Formula

Least Common Multiple of 55,83,330,969 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 55,83,330,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,83,330,969) = 1

common factors(in case of two or more numbers have common factors) = 165

GCF(55,83,330,969) x common factors =1 x 165 = 165

LCM(55,83,330,969) = ( 55 × 83 × 330 × 969 ) / 165

LCM(55,83,330,969) = 1459750050 / 165

LCM(55,83,330,969) = 8846970


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 8/55, 17/83, 36/330, 422/969

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 8/55, 17/83, 36/330, 422/969?

Answer: GCF of Numerators as per given numbers 8/55, 17/83, 36/330, 422/969 is

GCF of Numerators i.e. for 8,17,36,422 is 1

LCM of denominators i.e. for 55,83,330,969 is 8846970.

Thus, GCF of Fractions is 1/8846970.Finally, GCF of Fractions for 8/55, 17/83, 36/330, 422/969 is 1/8846970.