Greatest Common Factor of 110/82, 871/32, 296/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 110/82, 871/32, 296/295

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 110/82,871/32,296/295

Given fractions are 110/82,871/32,296/295

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 110,871,296

Greatest Common Factor of Numerators i.e. GCF of 110,871,296 is 1 .

LCM of Denominators means LCM of 82,32,295 as per the given fractions.

LCM of 82,32,295 is 387040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 110,871,296

GCF of Fractions 110/82,871/32,296/295 is 1/387040

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

Greatest Common Factor of 110,871,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,871,296 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 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 110,871,296 . The biggest common factor number is the GCF number.
So the greatest common factor 110,871,296 is 1.

Lets's calculate LCM of 82,32,295

2 82, 32, 295
41, 16, 295

∴ So the LCM of the given numbers is 2 x 41 x 16 x 295 = 387040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/387040

Therefore, the GCF of Fractions 110/82,871/32,296/295 is 1/387040

Least Common Multiple of 82,32,295 with GCF Formula

Least Common Multiple of 82,32,295 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 82,32,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,32,295) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,32,295) x common factors =1 x 2 = 2

LCM(82,32,295) = ( 82 × 32 × 295 ) / 2

LCM(82,32,295) = 774080 / 2

LCM(82,32,295) = 387040


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 110/82, 871/32, 296/295

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 110/82, 871/32, 296/295?

Answer: GCF of Numerators as per given numbers 110/82, 871/32, 296/295 is

GCF of Numerators i.e. for 110,871,296 is 1

LCM of denominators i.e. for 82,32,295 is 387040.

Thus, GCF of Fractions is 1/387040.Finally, GCF of Fractions for 110/82, 871/32, 296/295 is 1/387040.