Greatest Common Factor of 857/792, 532/966, 985/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 857/792, 532/966, 985/886

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 857/792,532/966,985/886

Given fractions are 857/792,532/966,985/886

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 857,532,985

Greatest Common Factor of Numerators i.e. GCF of 857,532,985 is 1 .

LCM of Denominators means LCM of 792,966,886 as per the given fractions.

LCM of 792,966,886 is 56487816 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 857,532,985

GCF of Fractions 857/792,532/966,985/886 is 1/56487816

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

Greatest Common Factor of 857,532,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 857,532,985 By Matching Biggest Common Factor Method

Factors of 857

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

1,857

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors 857,532,985 . The biggest common factor number is the GCF number.
So the greatest common factor 857,532,985 is 1.

Lets's calculate LCM of 792,966,886

2 792, 966, 886
3 396, 483, 443
132, 161, 443

∴ So the LCM of the given numbers is 2 x 3 x 132 x 161 x 443 = 56487816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56487816

Therefore, the GCF of Fractions 857/792,532/966,985/886 is 1/56487816

Least Common Multiple of 792,966,886 with GCF Formula

Least Common Multiple of 792,966,886 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 792,966,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,966,886) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(792,966,886) x common factors =2 x 6 = 12

LCM(792,966,886) = ( 792 × 966 × 886 ) / 12

LCM(792,966,886) = 677853792 / 12

LCM(792,966,886) = 56487816


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 857/792, 532/966, 985/886

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 857/792, 532/966, 985/886?

Answer: GCF of Numerators as per given numbers 857/792, 532/966, 985/886 is

GCF of Numerators i.e. for 857,532,985 is 1

LCM of denominators i.e. for 792,966,886 is 56487816.

Thus, GCF of Fractions is 1/56487816.Finally, GCF of Fractions for 857/792, 532/966, 985/886 is 1/56487816.