How to Find GCF of 9794/268, 3313/4388?

GCF of 9794/268, 3313/4388

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 9794/268, 3313/4388 i.e 1/293996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9794/268, 3313/4388.

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 9794/268,3313/4388?

Given fractions are 9794/268,3313/4388

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 9794/268,3313/4388, numerators are 9794,3313

Denominators are 268,4388

The GCF of 9794,3313 is 1 .

LCM of 268,4388 is 293996.

The greatest common factor of 9794/268,3313/4388 = [GCF of 9794,3313]/[LCM of 268,4388]= 1/293996

Therefore, the GCF of 9794/268,3313/4388 is 1/293996.

Greatest Common Factor of 9794,3313

To find the highest common factor of 9794,3313, we have to find the factors of both numbers and list the highest common factor.

The factors of 9794 are 1, 2, 59, 83, 118, 166, 4897, 9794

The factors of 3313 are 1, 3313

The HCF of 9794,3313 is 1.

Lets's calculate GCF of 9794,3313

Greatest Common Factor (GCF) of 9794,3313 By Common Division

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

Greatest Common Factor of 9794,3313 By Matching Biggest Common Factor Method

Now, list down the factors of 9794

1,2,59,83,118,166,4897,9794

Now, list down the factors of 3313

1,3313

Greatest Common Factor

We found the factors 9794,3313 . The biggest common factor number is the GCF number.
So the greatest common factor 9794,3313 is 1.

Lets's calculate LCM of 268,4388

Lowest Common Multiple of 268,4388 using Common Division

2	268, 4388
2	134, 2194
	67, 1097

∴ So the LCM of the given numbers is 2 x 2 x 67 x 1097 = 293996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/293996

Therefore, the GCF of Fractions 9794/268,3313/4388 is 1/293996

Least Common Multiple of 268,4388 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 268,4388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,4388) = 4

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

GCF(268,4388) x common factors =4 x 1 = 4

LCM(268,4388) = ( 268 × 4388 ) / 4

LCM(268,4388) = 1175984 / 4

LCM(268,4388) = 293996

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9794/268, 3313/4388

1. What is the HCF of 9794,3313?

The HCF of 9794,3313 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 9794/268, 3313/4388?

Answer: GCF of Numerators as per given numbers 9794/268, 3313/4388 is

GCF of Numerators i.e. for 9794,3313 is 1

LCM of denominators i.e. for 268,4388 is 293996.

Thus, GCF of Fractions is 1/293996.Finally, GCF of Fractions for 9794/268, 3313/4388 is 1/293996.