Greatest Common Factor of 163/19, 798/88, 826/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 163/19, 798/88, 826/786

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 163/19,798/88,826/786

Given fractions are 163/19,798/88,826/786

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 163,798,826

Greatest Common Factor of Numerators i.e. GCF of 163,798,826 is 1 .

LCM of Denominators means LCM of 19,88,786 as per the given fractions.

LCM of 19,88,786 is 657096 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 163,798,826

GCF of Fractions 163/19,798/88,826/786 is 1/657096

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

Greatest Common Factor of 163,798,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 163,798,826 By Matching Biggest Common Factor Method

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 163,798,826 . The biggest common factor number is the GCF number.
So the greatest common factor 163,798,826 is 1.

Lets's calculate LCM of 19,88,786

2 19, 88, 786
19, 44, 393

∴ So the LCM of the given numbers is 2 x 19 x 44 x 393 = 657096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/657096

Therefore, the GCF of Fractions 163/19,798/88,826/786 is 1/657096

Least Common Multiple of 19,88,786 with GCF Formula

Least Common Multiple of 19,88,786 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 19,88,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,88,786) = 1

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

GCF(19,88,786) x common factors =1 x 2 = 2

LCM(19,88,786) = ( 19 × 88 × 786 ) / 2

LCM(19,88,786) = 1314192 / 2

LCM(19,88,786) = 657096


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 163/19, 798/88, 826/786

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 163/19, 798/88, 826/786?

Answer: GCF of Numerators as per given numbers 163/19, 798/88, 826/786 is

GCF of Numerators i.e. for 163,798,826 is 1

LCM of denominators i.e. for 19,88,786 is 657096.

Thus, GCF of Fractions is 1/657096.Finally, GCF of Fractions for 163/19, 798/88, 826/786 is 1/657096.