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GCF of 2418/738, 8104/299

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 2418/738, 8104/299 i.e 2/220662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2418/738, 8104/299.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2418/738,8104/299?

Given fractions are 2418/738,8104/299

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 2418/738,8104/299, numerators are 2418,8104

Denominators are 738,299

The GCF of 2418,8104 is 2 .

LCM of 738,299 is 220662.

The greatest common factor of 2418/738,8104/299 = [GCF of 2418,8104]/[LCM of 738,299]= 2/220662

Therefore, the GCF of 2418/738,8104/299 is 2/220662.

Greatest Common Factor of 2418,8104

To find the highest common factor of 2418,8104, we have to find the factors of both numbers and list the highest common factor.

The factors of 2418 are 1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 186, 403, 806, 1209, 2418

The factors of 8104 are 1, 2, 4, 8, 1013, 2026, 4052, 8104

The HCF of 2418,8104 is 2.

Lets's calculate GCF of 2418,8104

Greatest Common Factor (GCF) of 2418,8104 By Common Division

2 2418, 8104
1209, 4052

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2418,8104 By Matching Biggest Common Factor Method

Greatest Common Factor of 2418,8104 By Matching Biggest Common Factor Method

Now, list down the factors of 2418

:

1,2,3,6,13,26,31,39,62,78,93,186,403,806,1209,2418

Now, list down the factors of 8104

:

1,2,4,8,1013,2026,4052,8104

Greatest Common Factor

We found the factors 2418,8104 . The biggest common factor number is the GCF number.
So the greatest common factor 2418,8104 is 2.


Lets's calculate LCM of 738,299

Lowest Common Multiple of 738,299 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 220662

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/220662

Therefore, the GCF of Fractions 2418/738,8104/299 is 2/220662

Least Common Multiple of 738,299 with GCF Formula

Least Common Multiple of 738,299 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 738,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,299) = 1

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

GCF(738,299) x common factors =1 x 1 = 1

LCM(738,299) = ( 738 × 299 ) / 1

LCM(738,299) = 220662 / 1

LCM(738,299) = 220662


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2418/738, 8104/299

1. What is the HCF of 2418,8104?

The HCF of 2418,8104 is 2

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 2418/738, 8104/299?

Answer: GCF of Numerators as per given numbers 2418/738, 8104/299 is

GCF of Numerators i.e. for 2418,8104 is 2

LCM of denominators i.e. for 738,299 is 220662.

Thus, GCF of Fractions is 2/220662.Finally, GCF of Fractions for 2418/738, 8104/299 is 2/220662.