Greatest Common Factor of 6/19, 48/77, 28/858, 805/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/19, 48/77, 28/858, 805/431

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 6/19,48/77,28/858,805/431

Given fractions are 6/19,48/77,28/858,805/431

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 6,48,28,805

Greatest Common Factor of Numerators i.e. GCF of 6,48,28,805 is 1 .

LCM of Denominators means LCM of 19,77,858,431 as per the given fractions.

LCM of 19,77,858,431 is 49183134 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,48,28,805

GCF of Fractions 6/19,48/77,28/858,805/431 is 1/49183134

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

Greatest Common Factor of 6,48,28,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,48,28,805 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 28

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

1,2,4,7,14,28

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 6,48,28,805 . The biggest common factor number is the GCF number.
So the greatest common factor 6,48,28,805 is 1.

Lets's calculate LCM of 19,77,858,431

11 19, 77, 858, 431
19, 7, 78, 431

∴ So the LCM of the given numbers is 11 x 19 x 7 x 78 x 431 = 49183134

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49183134

Therefore, the GCF of Fractions 6/19,48/77,28/858,805/431 is 1/49183134

Least Common Multiple of 19,77,858,431 with GCF Formula

Least Common Multiple of 19,77,858,431 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 19,77,858,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,77,858,431) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(19,77,858,431) x common factors =1 x 11 = 11

LCM(19,77,858,431) = ( 19 × 77 × 858 × 431 ) / 11

LCM(19,77,858,431) = 541014474 / 11

LCM(19,77,858,431) = 49183134


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 6/19, 48/77, 28/858, 805/431

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 6/19, 48/77, 28/858, 805/431?

Answer: GCF of Numerators as per given numbers 6/19, 48/77, 28/858, 805/431 is

GCF of Numerators i.e. for 6,48,28,805 is 1

LCM of denominators i.e. for 19,77,858,431 is 49183134.

Thus, GCF of Fractions is 1/49183134.Finally, GCF of Fractions for 6/19, 48/77, 28/858, 805/431 is 1/49183134.