How to Find GCF of 4814/347, 6817/1835?

GCF of 4814/347, 6817/1835

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 4814/347, 6817/1835 i.e 1/636745 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4814/347, 6817/1835.

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 4814/347,6817/1835?

Given fractions are 4814/347,6817/1835

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 4814/347,6817/1835, numerators are 4814,6817

Denominators are 347,1835

The GCF of 4814,6817 is 1 .

LCM of 347,1835 is 636745.

The greatest common factor of 4814/347,6817/1835 = [GCF of 4814,6817]/[LCM of 347,1835]= 1/636745

Therefore, the GCF of 4814/347,6817/1835 is 1/636745.

Greatest Common Factor of 4814,6817

To find the highest common factor of 4814,6817, we have to find the factors of both numbers and list the highest common factor.

The factors of 4814 are 1, 2, 29, 58, 83, 166, 2407, 4814

The factors of 6817 are 1, 17, 401, 6817

The HCF of 4814,6817 is 1.

Lets's calculate GCF of 4814,6817

Greatest Common Factor (GCF) of 4814,6817 By Common Division

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

Greatest Common Factor of 4814,6817 By Matching Biggest Common Factor Method

Now, list down the factors of 4814

1,2,29,58,83,166,2407,4814

Now, list down the factors of 6817

1,17,401,6817

Greatest Common Factor

We found the factors 4814,6817 . The biggest common factor number is the GCF number.
So the greatest common factor 4814,6817 is 1.

Lets's calculate LCM of 347,1835

Lowest Common Multiple of 347,1835 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 636745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/636745

Therefore, the GCF of Fractions 4814/347,6817/1835 is 1/636745

Least Common Multiple of 347,1835 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 347,1835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(347,1835) = 1

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

GCF(347,1835) x common factors =1 x 1 = 1

LCM(347,1835) = ( 347 × 1835 ) / 1

LCM(347,1835) = 636745 / 1

LCM(347,1835) = 636745

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FAQs on GCF of Fractions of 4814/347, 6817/1835

1. What is the HCF of 4814,6817?

The HCF of 4814,6817 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 4814/347, 6817/1835?

Answer: GCF of Numerators as per given numbers 4814/347, 6817/1835 is

GCF of Numerators i.e. for 4814,6817 is 1

LCM of denominators i.e. for 347,1835 is 636745.

Thus, GCF of Fractions is 1/636745.Finally, GCF of Fractions for 4814/347, 6817/1835 is 1/636745.