Greatest Common Factor of 110/43, 866/48, 872/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 110/43, 866/48, 872/457

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 110/43,866/48,872/457

Given fractions are 110/43,866/48,872/457

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 110,866,872

Greatest Common Factor of Numerators i.e. GCF of 110,866,872 is 2 .

LCM of Denominators means LCM of 43,48,457 as per the given fractions.

LCM of 43,48,457 is 943248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 110,866,872

GCF of Fractions 110/43,866/48,872/457 is 2/943248

2 110, 866, 872
55, 433, 436

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

Greatest Common Factor of 110,866,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,866,872 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 110,866,872 . The biggest common factor number is the GCF number.
So the greatest common factor 110,866,872 is 2.

Lets's calculate LCM of 43,48,457

Given numbers has no common factors except 1. So, there LCM is their product i.e 943248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/943248

Therefore, the GCF of Fractions 110/43,866/48,872/457 is 2/943248

Least Common Multiple of 43,48,457 with GCF Formula

Least Common Multiple of 43,48,457 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 43,48,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,48,457) = 1

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

GCF(43,48,457) x common factors =1 x 1 = 1

LCM(43,48,457) = ( 43 × 48 × 457 ) / 1

LCM(43,48,457) = 943248 / 1

LCM(43,48,457) = 943248


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 110/43, 866/48, 872/457

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 110/43, 866/48, 872/457?

Answer: GCF of Numerators as per given numbers 110/43, 866/48, 872/457 is

GCF of Numerators i.e. for 110,866,872 is 2

LCM of denominators i.e. for 43,48,457 is 943248.

Thus, GCF of Fractions is 2/943248.Finally, GCF of Fractions for 110/43, 866/48, 872/457 is 2/943248.