How to Find GCF of 4866/829, 5095/446?

GCF of 4866/829, 5095/446

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 4866/829, 5095/446 i.e 1/369734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4866/829, 5095/446.

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 4866/829,5095/446?

Given fractions are 4866/829,5095/446

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 4866/829,5095/446, numerators are 4866,5095

Denominators are 829,446

The GCF of 4866,5095 is 1 .

LCM of 829,446 is 369734.

The greatest common factor of 4866/829,5095/446 = [GCF of 4866,5095]/[LCM of 829,446]= 1/369734

Therefore, the GCF of 4866/829,5095/446 is 1/369734.

Greatest Common Factor of 4866,5095

To find the highest common factor of 4866,5095, we have to find the factors of both numbers and list the highest common factor.

The factors of 4866 are 1, 2, 3, 6, 811, 1622, 2433, 4866

The factors of 5095 are 1, 5, 1019, 5095

The HCF of 4866,5095 is 1.

Lets's calculate GCF of 4866,5095

Greatest Common Factor (GCF) of 4866,5095 By Common Division

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

Greatest Common Factor of 4866,5095 By Matching Biggest Common Factor Method

Now, list down the factors of 4866

1,2,3,6,811,1622,2433,4866

Now, list down the factors of 5095

1,5,1019,5095

Greatest Common Factor

We found the factors 4866,5095 . The biggest common factor number is the GCF number.
So the greatest common factor 4866,5095 is 1.

Lets's calculate LCM of 829,446

Lowest Common Multiple of 829,446 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 369734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/369734

Therefore, the GCF of Fractions 4866/829,5095/446 is 1/369734

Least Common Multiple of 829,446 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 829,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,446) = 1

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

GCF(829,446) x common factors =1 x 1 = 1

LCM(829,446) = ( 829 × 446 ) / 1

LCM(829,446) = 369734 / 1

LCM(829,446) = 369734

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FAQs on GCF of Fractions of 4866/829, 5095/446

1. What is the HCF of 4866,5095?

The HCF of 4866,5095 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 4866/829, 5095/446?

Answer: GCF of Numerators as per given numbers 4866/829, 5095/446 is

GCF of Numerators i.e. for 4866,5095 is 1

LCM of denominators i.e. for 829,446 is 369734.

Thus, GCF of Fractions is 1/369734.Finally, GCF of Fractions for 4866/829, 5095/446 is 1/369734.