Greatest Common Factor of 863/28, 761/54, 441/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 863/28, 761/54, 441/205

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 863/28,761/54,441/205

Given fractions are 863/28,761/54,441/205

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 863,761,441

Greatest Common Factor of Numerators i.e. GCF of 863,761,441 is 1 .

LCM of Denominators means LCM of 28,54,205 as per the given fractions.

LCM of 28,54,205 is 154980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 863,761,441

GCF of Fractions 863/28,761/54,441/205 is 1/154980

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

Greatest Common Factor of 863,761,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 863,761,441 By Matching Biggest Common Factor Method

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 863,761,441 . The biggest common factor number is the GCF number.
So the greatest common factor 863,761,441 is 1.

Lets's calculate LCM of 28,54,205

2 28, 54, 205
14, 27, 205

∴ So the LCM of the given numbers is 2 x 14 x 27 x 205 = 154980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154980

Therefore, the GCF of Fractions 863/28,761/54,441/205 is 1/154980

Least Common Multiple of 28,54,205 with GCF Formula

Least Common Multiple of 28,54,205 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 28,54,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,54,205) = 1

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

GCF(28,54,205) x common factors =1 x 2 = 2

LCM(28,54,205) = ( 28 × 54 × 205 ) / 2

LCM(28,54,205) = 309960 / 2

LCM(28,54,205) = 154980


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 863/28, 761/54, 441/205

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 863/28, 761/54, 441/205?

Answer: GCF of Numerators as per given numbers 863/28, 761/54, 441/205 is

GCF of Numerators i.e. for 863,761,441 is 1

LCM of denominators i.e. for 28,54,205 is 154980.

Thus, GCF of Fractions is 1/154980.Finally, GCF of Fractions for 863/28, 761/54, 441/205 is 1/154980.