How to Find GCF of 193/108, 1027/5068?

GCF of 193/108, 1027/5068

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 193/108, 1027/5068 i.e 1/136836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 193/108, 1027/5068.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 193/108,1027/5068?

Given fractions are 193/108,1027/5068

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 193/108,1027/5068, numerators are 193,1027

Denominators are 108,5068

The GCF of 193,1027 is 1 .

LCM of 108,5068 is 136836.

The greatest common factor of 193/108,1027/5068 = [GCF of 193,1027]/[LCM of 108,5068]= 1/136836

Therefore, the GCF of 193/108,1027/5068 is 1/136836.

Greatest Common Factor of 193,1027

To find the highest common factor of 193,1027, we have to find the factors of both numbers and list the highest common factor.

The factors of 193 are 1, 193

The factors of 1027 are 1, 13, 79, 1027

The HCF of 193,1027 is 1.

Lets's calculate GCF of 193,1027

Greatest Common Factor (GCF) of 193,1027 By Common Division

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

Greatest Common Factor of 193,1027 By Matching Biggest Common Factor Method

Now, list down the factors of 193

1,193

Now, list down the factors of 1027

1,13,79,1027

Greatest Common Factor

We found the factors 193,1027 . The biggest common factor number is the GCF number.
So the greatest common factor 193,1027 is 1.

Lets's calculate LCM of 108,5068

Lowest Common Multiple of 108,5068 using Common Division

2	108, 5068
2	54, 2534
	27, 1267

∴ So the LCM of the given numbers is 2 x 2 x 27 x 1267 = 136836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136836

Therefore, the GCF of Fractions 193/108,1027/5068 is 1/136836

Least Common Multiple of 108,5068 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 108,5068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,5068) = 4

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

GCF(108,5068) x common factors =4 x 1 = 4

LCM(108,5068) = ( 108 × 5068 ) / 4

LCM(108,5068) = 547344 / 4

LCM(108,5068) = 136836

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 193/108, 1027/5068

1. What is the HCF of 193,1027?

The HCF of 193,1027 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 193/108, 1027/5068?

Answer: GCF of Numerators as per given numbers 193/108, 1027/5068 is

GCF of Numerators i.e. for 193,1027 is 1

LCM of denominators i.e. for 108,5068 is 136836.

Thus, GCF of Fractions is 1/136836.Finally, GCF of Fractions for 193/108, 1027/5068 is 1/136836.