How to Find GCF of 4094/663, 3938/2288?

GCF of 4094/663, 3938/2288

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 4094/663, 3938/2288 i.e 2/116688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4094/663, 3938/2288.

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 4094/663,3938/2288?

Given fractions are 4094/663,3938/2288

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 4094/663,3938/2288, numerators are 4094,3938

Denominators are 663,2288

The GCF of 4094,3938 is 2 .

LCM of 663,2288 is 116688.

The greatest common factor of 4094/663,3938/2288 = [GCF of 4094,3938]/[LCM of 663,2288]= 2/116688

Therefore, the GCF of 4094/663,3938/2288 is 2/116688.

Greatest Common Factor of 4094,3938

To find the highest common factor of 4094,3938, we have to find the factors of both numbers and list the highest common factor.

The factors of 4094 are 1, 2, 23, 46, 89, 178, 2047, 4094

The factors of 3938 are 1, 2, 11, 22, 179, 358, 1969, 3938

The HCF of 4094,3938 is 2.

Lets's calculate GCF of 4094,3938

Greatest Common Factor (GCF) of 4094,3938 By Common Division

2	4094, 3938
	2047, 1969

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4094,3938 By Matching Biggest Common Factor Method

Now, list down the factors of 4094

1,2,23,46,89,178,2047,4094

Now, list down the factors of 3938

1,2,11,22,179,358,1969,3938

Greatest Common Factor

We found the factors 4094,3938 . The biggest common factor number is the GCF number.
So the greatest common factor 4094,3938 is 2.

Lets's calculate LCM of 663,2288

Lowest Common Multiple of 663,2288 using Common Division

13	663, 2288
	51, 176

∴ So the LCM of the given numbers is 13 x 51 x 176 = 116688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/116688

Therefore, the GCF of Fractions 4094/663,3938/2288 is 2/116688

Least Common Multiple of 663,2288 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 663,2288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,2288) = 13

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

GCF(663,2288) x common factors =13 x 1 = 13

LCM(663,2288) = ( 663 × 2288 ) / 13

LCM(663,2288) = 1516944 / 13

LCM(663,2288) = 116688

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FAQs on GCF of Fractions of 4094/663, 3938/2288

1. What is the HCF of 4094,3938?

The HCF of 4094,3938 is 2

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 4094/663, 3938/2288?

Answer: GCF of Numerators as per given numbers 4094/663, 3938/2288 is

GCF of Numerators i.e. for 4094,3938 is 2

LCM of denominators i.e. for 663,2288 is 116688.

Thus, GCF of Fractions is 2/116688.Finally, GCF of Fractions for 4094/663, 3938/2288 is 2/116688.