How to Find GCF of 6414/241, 4206/4798?

GCF of 6414/241, 4206/4798

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 6414/241, 4206/4798 i.e 6/1156318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6414/241, 4206/4798.

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 6414/241,4206/4798?

Given fractions are 6414/241,4206/4798

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 6414/241,4206/4798, numerators are 6414,4206

Denominators are 241,4798

The GCF of 6414,4206 is 6 .

LCM of 241,4798 is 1156318.

The greatest common factor of 6414/241,4206/4798 = [GCF of 6414,4206]/[LCM of 241,4798]= 6/1156318

Therefore, the GCF of 6414/241,4206/4798 is 6/1156318.

Greatest Common Factor of 6414,4206

To find the highest common factor of 6414,4206, we have to find the factors of both numbers and list the highest common factor.

The factors of 6414 are 1, 2, 3, 6, 1069, 2138, 3207, 6414

The factors of 4206 are 1, 2, 3, 6, 701, 1402, 2103, 4206

The HCF of 6414,4206 is 6.

Lets's calculate GCF of 6414,4206

Greatest Common Factor (GCF) of 6414,4206 By Common Division

2	6414, 4206
3	3207, 2103
	1069, 701

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 6414,4206 By Matching Biggest Common Factor Method

Now, list down the factors of 6414

1,2,3,6,1069,2138,3207,6414

Now, list down the factors of 4206

1,2,3,6,701,1402,2103,4206

Greatest Common Factor

We found the factors 6414,4206 . The biggest common factor number is the GCF number.
So the greatest common factor 6414,4206 is 6.

Lets's calculate LCM of 241,4798

Lowest Common Multiple of 241,4798 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1156318

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1156318

Therefore, the GCF of Fractions 6414/241,4206/4798 is 6/1156318

Least Common Multiple of 241,4798 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 241,4798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,4798) = 1

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

GCF(241,4798) x common factors =1 x 1 = 1

LCM(241,4798) = ( 241 × 4798 ) / 1

LCM(241,4798) = 1156318 / 1

LCM(241,4798) = 1156318

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FAQs on GCF of Fractions of 6414/241, 4206/4798

1. What is the HCF of 6414,4206?

The HCF of 6414,4206 is 6

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 6414/241, 4206/4798?

Answer: GCF of Numerators as per given numbers 6414/241, 4206/4798 is

GCF of Numerators i.e. for 6414,4206 is 6

LCM of denominators i.e. for 241,4798 is 1156318.

Thus, GCF of Fractions is 6/1156318.Finally, GCF of Fractions for 6414/241, 4206/4798 is 6/1156318.