How to Find GCF of 4093/260, 2252/117?

GCF of 4093/260, 2252/117

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 4093/260, 2252/117 i.e 1/2340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4093/260, 2252/117.

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 4093/260,2252/117?

Given fractions are 4093/260,2252/117

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 4093/260,2252/117, numerators are 4093,2252

Denominators are 260,117

The GCF of 4093,2252 is 1 .

LCM of 260,117 is 2340.

The greatest common factor of 4093/260,2252/117 = [GCF of 4093,2252]/[LCM of 260,117]= 1/2340

Therefore, the GCF of 4093/260,2252/117 is 1/2340.

Greatest Common Factor of 4093,2252

To find the highest common factor of 4093,2252, we have to find the factors of both numbers and list the highest common factor.

The factors of 4093 are 1, 4093

The factors of 2252 are 1, 2, 4, 563, 1126, 2252

The HCF of 4093,2252 is 1.

Lets's calculate GCF of 4093,2252

Greatest Common Factor (GCF) of 4093,2252 By Common Division

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

Greatest Common Factor of 4093,2252 By Matching Biggest Common Factor Method

Now, list down the factors of 4093

1,4093

Now, list down the factors of 2252

1,2,4,563,1126,2252

Greatest Common Factor

We found the factors 4093,2252 . The biggest common factor number is the GCF number.
So the greatest common factor 4093,2252 is 1.

Lets's calculate LCM of 260,117

Lowest Common Multiple of 260,117 using Common Division

13	260, 117
	20, 9

∴ So the LCM of the given numbers is 13 x 20 x 9 = 2340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2340

Therefore, the GCF of Fractions 4093/260,2252/117 is 1/2340

Least Common Multiple of 260,117 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 260,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,117) = 13

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

GCF(260,117) x common factors =13 x 1 = 13

LCM(260,117) = ( 260 × 117 ) / 13

LCM(260,117) = 30420 / 13

LCM(260,117) = 2340

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4093/260, 2252/117

1. What is the HCF of 4093,2252?

The HCF of 4093,2252 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 4093/260, 2252/117?

Answer: GCF of Numerators as per given numbers 4093/260, 2252/117 is

GCF of Numerators i.e. for 4093,2252 is 1

LCM of denominators i.e. for 260,117 is 2340.

Thus, GCF of Fractions is 1/2340.Finally, GCF of Fractions for 4093/260, 2252/117 is 1/2340.