Greatest Common Factor of 228/43, 857/42, 558/65

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 228/43, 857/42, 558/65

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 228/43,857/42,558/65

Given fractions are 228/43,857/42,558/65

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 228,857,558

Greatest Common Factor of Numerators i.e. GCF of 228,857,558 is 1 .

LCM of Denominators means LCM of 43,42,65 as per the given fractions.

LCM of 43,42,65 is 117390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 228,857,558

GCF of Fractions 228/43,857/42,558/65 is 1/117390

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

Greatest Common Factor of 228,857,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,857,558 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 228,857,558 . The biggest common factor number is the GCF number.
So the greatest common factor 228,857,558 is 1.

Lets's calculate LCM of 43,42,65

Given numbers has no common factors except 1. So, there LCM is their product i.e 117390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117390

Therefore, the GCF of Fractions 228/43,857/42,558/65 is 1/117390

Least Common Multiple of 43,42,65 with GCF Formula

Least Common Multiple of 43,42,65 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 43,42,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,42,65) = 1

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

GCF(43,42,65) x common factors =1 x 1 = 1

LCM(43,42,65) = ( 43 × 42 × 65 ) / 1

LCM(43,42,65) = 117390 / 1

LCM(43,42,65) = 117390


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 228/43, 857/42, 558/65

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 228/43, 857/42, 558/65?

Answer: GCF of Numerators as per given numbers 228/43, 857/42, 558/65 is

GCF of Numerators i.e. for 228,857,558 is 1

LCM of denominators i.e. for 43,42,65 is 117390.

Thus, GCF of Fractions is 1/117390.Finally, GCF of Fractions for 228/43, 857/42, 558/65 is 1/117390.