Greatest Common Factor of 166/434, 7438/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 166/434, 7438/966

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 166/434,7438/966

Given fractions are 166/434,7438/966

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 166,7438

Greatest Common Factor of Numerators i.e. GCF of 166,7438 is 2 .

LCM of Denominators means LCM of 434,966 as per the given fractions.

LCM of 434,966 is 29946 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 166,7438

GCF of Fractions 166/434,7438/966 is 2/29946

2 166, 7438
83, 3719

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

Greatest Common Factor of 166,7438 By Matching Biggest Common Factor Method

Greatest Common Factor of 166,7438 By Matching Biggest Common Factor Method

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 7438

List of positive integer factors of 7438 that divides 7438 without a remainder.

1,2,3719,7438

Greatest Common Factor

We found the factors 166,7438 . The biggest common factor number is the GCF number.
So the greatest common factor 166,7438 is 2.

Lets's calculate LCM of 434,966

2 434, 966
7 217, 483
31, 69

∴ So the LCM of the given numbers is 2 x 7 x 31 x 69 = 29946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29946

Therefore, the GCF of Fractions 166/434,7438/966 is 2/29946

Least Common Multiple of 434,966 with GCF Formula

Least Common Multiple of 434,966 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 434,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,966) = 14

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

GCF(434,966) x common factors =14 x 1 = 14

LCM(434,966) = ( 434 × 966 ) / 14

LCM(434,966) = 419244 / 14

LCM(434,966) = 29946


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 166/434, 7438/966

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 166/434, 7438/966?

Answer: GCF of Numerators as per given numbers 166/434, 7438/966 is

GCF of Numerators i.e. for 166,7438 is 2

LCM of denominators i.e. for 434,966 is 29946.

Thus, GCF of Fractions is 2/29946.Finally, GCF of Fractions for 166/434, 7438/966 is 2/29946.