Greatest Common Factor of 134/17, 853/63, 105/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 134/17, 853/63, 105/209

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 134/17,853/63,105/209

Given fractions are 134/17,853/63,105/209

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 134,853,105

Greatest Common Factor of Numerators i.e. GCF of 134,853,105 is 1 .

LCM of Denominators means LCM of 17,63,209 as per the given fractions.

LCM of 17,63,209 is 223839 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 134,853,105

GCF of Fractions 134/17,853/63,105/209 is 1/223839

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

Greatest Common Factor of 134,853,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 134,853,105 By Matching Biggest Common Factor Method

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 134,853,105 . The biggest common factor number is the GCF number.
So the greatest common factor 134,853,105 is 1.

Lets's calculate LCM of 17,63,209

Given numbers has no common factors except 1. So, there LCM is their product i.e 223839

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223839

Therefore, the GCF of Fractions 134/17,853/63,105/209 is 1/223839

Least Common Multiple of 17,63,209 with GCF Formula

Least Common Multiple of 17,63,209 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 17,63,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,63,209) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(17,63,209) x common factors =1 x 1 = 1

LCM(17,63,209) = ( 17 × 63 × 209 ) / 1

LCM(17,63,209) = 223839 / 1

LCM(17,63,209) = 223839


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 134/17, 853/63, 105/209

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 134/17, 853/63, 105/209?

Answer: GCF of Numerators as per given numbers 134/17, 853/63, 105/209 is

GCF of Numerators i.e. for 134,853,105 is 1

LCM of denominators i.e. for 17,63,209 is 223839.

Thus, GCF of Fractions is 1/223839.Finally, GCF of Fractions for 134/17, 853/63, 105/209 is 1/223839.