Greatest Common Factor of 884/51, 706/80, 227/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 884/51, 706/80, 227/75

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 884/51,706/80,227/75

Given fractions are 884/51,706/80,227/75

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 884,706,227

Greatest Common Factor of Numerators i.e. GCF of 884,706,227 is 1 .

LCM of Denominators means LCM of 51,80,75 as per the given fractions.

LCM of 51,80,75 is 20400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 884,706,227

GCF of Fractions 884/51,706/80,227/75 is 1/20400

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

Greatest Common Factor of 884,706,227 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,706,227 By Matching Biggest Common Factor Method

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Greatest Common Factor

We found the factors 884,706,227 . The biggest common factor number is the GCF number.
So the greatest common factor 884,706,227 is 1.

Lets's calculate LCM of 51,80,75

3 51, 80, 75
5 17, 80, 25
17, 16, 5

∴ So the LCM of the given numbers is 3 x 5 x 17 x 16 x 5 = 20400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20400

Therefore, the GCF of Fractions 884/51,706/80,227/75 is 1/20400

Least Common Multiple of 51,80,75 with GCF Formula

Least Common Multiple of 51,80,75 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 51,80,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,80,75) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(51,80,75) x common factors =1 x 15 = 15

LCM(51,80,75) = ( 51 × 80 × 75 ) / 15

LCM(51,80,75) = 306000 / 15

LCM(51,80,75) = 20400


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 884/51, 706/80, 227/75

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 884/51, 706/80, 227/75?

Answer: GCF of Numerators as per given numbers 884/51, 706/80, 227/75 is

GCF of Numerators i.e. for 884,706,227 is 1

LCM of denominators i.e. for 51,80,75 is 20400.

Thus, GCF of Fractions is 1/20400.Finally, GCF of Fractions for 884/51, 706/80, 227/75 is 1/20400.