How to Find GCF of 4806/835, 8393/446?

GCF of 4806/835, 8393/446

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 4806/835, 8393/446 i.e 1/372410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4806/835, 8393/446.

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 4806/835,8393/446?

Given fractions are 4806/835,8393/446

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 4806/835,8393/446, numerators are 4806,8393

Denominators are 835,446

The GCF of 4806,8393 is 1 .

LCM of 835,446 is 372410.

The greatest common factor of 4806/835,8393/446 = [GCF of 4806,8393]/[LCM of 835,446]= 1/372410

Therefore, the GCF of 4806/835,8393/446 is 1/372410.

Greatest Common Factor of 4806,8393

To find the highest common factor of 4806,8393, we have to find the factors of both numbers and list the highest common factor.

The factors of 4806 are 1, 2, 3, 6, 9, 18, 27, 54, 89, 178, 267, 534, 801, 1602, 2403, 4806

The factors of 8393 are 1, 7, 11, 77, 109, 763, 1199, 8393

The HCF of 4806,8393 is 1.

Lets's calculate GCF of 4806,8393

Greatest Common Factor (GCF) of 4806,8393 By Common Division

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

Greatest Common Factor of 4806,8393 By Matching Biggest Common Factor Method

Now, list down the factors of 4806

1,2,3,6,9,18,27,54,89,178,267,534,801,1602,2403,4806

Now, list down the factors of 8393

1,7,11,77,109,763,1199,8393

Greatest Common Factor

We found the factors 4806,8393 . The biggest common factor number is the GCF number.
So the greatest common factor 4806,8393 is 1.

Lets's calculate LCM of 835,446

Lowest Common Multiple of 835,446 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 372410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/372410

Therefore, the GCF of Fractions 4806/835,8393/446 is 1/372410

Least Common Multiple of 835,446 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 835,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(835,446) = 1

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

GCF(835,446) x common factors =1 x 1 = 1

LCM(835,446) = ( 835 × 446 ) / 1

LCM(835,446) = 372410 / 1

LCM(835,446) = 372410

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FAQs on GCF of Fractions of 4806/835, 8393/446

1. What is the HCF of 4806,8393?

The HCF of 4806,8393 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 4806/835, 8393/446?

Answer: GCF of Numerators as per given numbers 4806/835, 8393/446 is

GCF of Numerators i.e. for 4806,8393 is 1

LCM of denominators i.e. for 835,446 is 372410.

Thus, GCF of Fractions is 1/372410.Finally, GCF of Fractions for 4806/835, 8393/446 is 1/372410.