Greatest Common Factor of 164/94, 838/95, 561/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 164/94, 838/95, 561/703

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 164/94,838/95,561/703

Given fractions are 164/94,838/95,561/703

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 164,838,561

Greatest Common Factor of Numerators i.e. GCF of 164,838,561 is 1 .

LCM of Denominators means LCM of 94,95,703 as per the given fractions.

LCM of 94,95,703 is 330410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 164,838,561

GCF of Fractions 164/94,838/95,561/703 is 1/330410

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

Greatest Common Factor of 164,838,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,838,561 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 164,838,561 . The biggest common factor number is the GCF number.
So the greatest common factor 164,838,561 is 1.

Lets's calculate LCM of 94,95,703

19 94, 95, 703
94, 5, 37

∴ So the LCM of the given numbers is 19 x 94 x 5 x 37 = 330410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330410

Therefore, the GCF of Fractions 164/94,838/95,561/703 is 1/330410

Least Common Multiple of 94,95,703 with GCF Formula

Least Common Multiple of 94,95,703 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 94,95,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,95,703) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(94,95,703) x common factors =1 x 19 = 19

LCM(94,95,703) = ( 94 × 95 × 703 ) / 19

LCM(94,95,703) = 6277790 / 19

LCM(94,95,703) = 330410


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 164/94, 838/95, 561/703

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 164/94, 838/95, 561/703?

Answer: GCF of Numerators as per given numbers 164/94, 838/95, 561/703 is

GCF of Numerators i.e. for 164,838,561 is 1

LCM of denominators i.e. for 94,95,703 is 330410.

Thus, GCF of Fractions is 1/330410.Finally, GCF of Fractions for 164/94, 838/95, 561/703 is 1/330410.