How to Find GCF of 4851/273, 4040/6266?

GCF of 4851/273, 4040/6266

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 4851/273, 4040/6266 i.e 1/131586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4851/273, 4040/6266.

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 4851/273,4040/6266?

Given fractions are 4851/273,4040/6266

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 4851/273,4040/6266, numerators are 4851,4040

Denominators are 273,6266

The GCF of 4851,4040 is 1 .

LCM of 273,6266 is 131586.

The greatest common factor of 4851/273,4040/6266 = [GCF of 4851,4040]/[LCM of 273,6266]= 1/131586

Therefore, the GCF of 4851/273,4040/6266 is 1/131586.

Greatest Common Factor of 4851,4040

To find the highest common factor of 4851,4040, we have to find the factors of both numbers and list the highest common factor.

The factors of 4851 are 1, 3, 7, 9, 11, 21, 33, 49, 63, 77, 99, 147, 231, 441, 539, 693, 1617, 4851

The factors of 4040 are 1, 2, 4, 5, 8, 10, 20, 40, 101, 202, 404, 505, 808, 1010, 2020, 4040

The HCF of 4851,4040 is 1.

Lets's calculate GCF of 4851,4040

Greatest Common Factor (GCF) of 4851,4040 By Common Division

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

Greatest Common Factor of 4851,4040 By Matching Biggest Common Factor Method

Now, list down the factors of 4851

1,3,7,9,11,21,33,49,63,77,99,147,231,441,539,693,1617,4851

Now, list down the factors of 4040

1,2,4,5,8,10,20,40,101,202,404,505,808,1010,2020,4040

Greatest Common Factor

We found the factors 4851,4040 . The biggest common factor number is the GCF number.
So the greatest common factor 4851,4040 is 1.

Lets's calculate LCM of 273,6266

Lowest Common Multiple of 273,6266 using Common Division

13	273, 6266
	21, 482

∴ So the LCM of the given numbers is 13 x 21 x 482 = 131586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131586

Therefore, the GCF of Fractions 4851/273,4040/6266 is 1/131586

Least Common Multiple of 273,6266 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 273,6266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,6266) = 13

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

GCF(273,6266) x common factors =13 x 1 = 13

LCM(273,6266) = ( 273 × 6266 ) / 13

LCM(273,6266) = 1710618 / 13

LCM(273,6266) = 131586

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4851/273, 4040/6266

1. What is the HCF of 4851,4040?

The HCF of 4851,4040 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 4851/273, 4040/6266?

Answer: GCF of Numerators as per given numbers 4851/273, 4040/6266 is

GCF of Numerators i.e. for 4851,4040 is 1

LCM of denominators i.e. for 273,6266 is 131586.

Thus, GCF of Fractions is 1/131586.Finally, GCF of Fractions for 4851/273, 4040/6266 is 1/131586.