How to Find GCF of 4066/496, 3067/4739?

GCF of 4066/496, 3067/4739

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 4066/496, 3067/4739 i.e 1/2350544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4066/496, 3067/4739.

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 4066/496,3067/4739?

Given fractions are 4066/496,3067/4739

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 4066/496,3067/4739, numerators are 4066,3067

Denominators are 496,4739

The GCF of 4066,3067 is 1 .

LCM of 496,4739 is 2350544.

The greatest common factor of 4066/496,3067/4739 = [GCF of 4066,3067]/[LCM of 496,4739]= 1/2350544

Therefore, the GCF of 4066/496,3067/4739 is 1/2350544.

Greatest Common Factor of 4066,3067

To find the highest common factor of 4066,3067, we have to find the factors of both numbers and list the highest common factor.

The factors of 4066 are 1, 2, 19, 38, 107, 214, 2033, 4066

The factors of 3067 are 1, 3067

The HCF of 4066,3067 is 1.

Lets's calculate GCF of 4066,3067

Greatest Common Factor (GCF) of 4066,3067 By Common Division

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

Greatest Common Factor of 4066,3067 By Matching Biggest Common Factor Method

Now, list down the factors of 4066

1,2,19,38,107,214,2033,4066

Now, list down the factors of 3067

1,3067

Greatest Common Factor

We found the factors 4066,3067 . The biggest common factor number is the GCF number.
So the greatest common factor 4066,3067 is 1.

Lets's calculate LCM of 496,4739

Lowest Common Multiple of 496,4739 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2350544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2350544

Therefore, the GCF of Fractions 4066/496,3067/4739 is 1/2350544

Least Common Multiple of 496,4739 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 496,4739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,4739) = 1

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

GCF(496,4739) x common factors =1 x 1 = 1

LCM(496,4739) = ( 496 × 4739 ) / 1

LCM(496,4739) = 2350544 / 1

LCM(496,4739) = 2350544

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FAQs on GCF of Fractions of 4066/496, 3067/4739

1. What is the HCF of 4066,3067?

The HCF of 4066,3067 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 4066/496, 3067/4739?

Answer: GCF of Numerators as per given numbers 4066/496, 3067/4739 is

GCF of Numerators i.e. for 4066,3067 is 1

LCM of denominators i.e. for 496,4739 is 2350544.

Thus, GCF of Fractions is 1/2350544.Finally, GCF of Fractions for 4066/496, 3067/4739 is 1/2350544.