Greatest Common Factor of 704/71, 874/28, 330/55

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 704/71, 874/28, 330/55

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 704/71,874/28,330/55

Given fractions are 704/71,874/28,330/55

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 704,874,330

Greatest Common Factor of Numerators i.e. GCF of 704,874,330 is 2 .

LCM of Denominators means LCM of 71,28,55 as per the given fractions.

LCM of 71,28,55 is 109340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 704,874,330

GCF of Fractions 704/71,874/28,330/55 is 2/109340

2 704, 874, 330
352, 437, 165

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

Greatest Common Factor of 704,874,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,874,330 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 704,874,330 . The biggest common factor number is the GCF number.
So the greatest common factor 704,874,330 is 2.

Lets's calculate LCM of 71,28,55

Given numbers has no common factors except 1. So, there LCM is their product i.e 109340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/109340

Therefore, the GCF of Fractions 704/71,874/28,330/55 is 2/109340

Least Common Multiple of 71,28,55 with GCF Formula

Least Common Multiple of 71,28,55 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 71,28,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,28,55) = 1

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

GCF(71,28,55) x common factors =1 x 1 = 1

LCM(71,28,55) = ( 71 × 28 × 55 ) / 1

LCM(71,28,55) = 109340 / 1

LCM(71,28,55) = 109340


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 704/71, 874/28, 330/55

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 704/71, 874/28, 330/55?

Answer: GCF of Numerators as per given numbers 704/71, 874/28, 330/55 is

GCF of Numerators i.e. for 704,874,330 is 2

LCM of denominators i.e. for 71,28,55 is 109340.

Thus, GCF of Fractions is 2/109340.Finally, GCF of Fractions for 704/71, 874/28, 330/55 is 2/109340.