Greatest Common Factor of 28/943, 13/416, 571/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/943, 13/416, 571/276

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 28/943,13/416,571/276

Given fractions are 28/943,13/416,571/276

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 28,13,571

Greatest Common Factor of Numerators i.e. GCF of 28,13,571 is 1 .

LCM of Denominators means LCM of 943,416,276 as per the given fractions.

LCM of 943,416,276 is 1176864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,13,571

GCF of Fractions 28/943,13/416,571/276 is 1/1176864

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

Greatest Common Factor of 28,13,571 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,13,571 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Greatest Common Factor

We found the factors 28,13,571 . The biggest common factor number is the GCF number.
So the greatest common factor 28,13,571 is 1.

Lets's calculate LCM of 943,416,276

2 943, 416, 276
2 943, 208, 138
23 943, 104, 69
41, 104, 3

∴ So the LCM of the given numbers is 2 x 2 x 23 x 41 x 104 x 3 = 1176864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1176864

Therefore, the GCF of Fractions 28/943,13/416,571/276 is 1/1176864

Least Common Multiple of 943,416,276 with GCF Formula

Least Common Multiple of 943,416,276 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 943,416,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(943,416,276) = 1

common factors(in case of two or more numbers have common factors) = 92

GCF(943,416,276) x common factors =1 x 92 = 92

LCM(943,416,276) = ( 943 × 416 × 276 ) / 92

LCM(943,416,276) = 108271488 / 92

LCM(943,416,276) = 1176864


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 28/943, 13/416, 571/276

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 28/943, 13/416, 571/276?

Answer: GCF of Numerators as per given numbers 28/943, 13/416, 571/276 is

GCF of Numerators i.e. for 28,13,571 is 1

LCM of denominators i.e. for 943,416,276 is 1176864.

Thus, GCF of Fractions is 1/1176864.Finally, GCF of Fractions for 28/943, 13/416, 571/276 is 1/1176864.