How to Find GCF of 498/404, 2662/978?

GCF of 498/404, 2662/978

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 498/404, 2662/978 i.e 2/197556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 498/404, 2662/978.

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 498/404,2662/978?

Given fractions are 498/404,2662/978

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 498/404,2662/978, numerators are 498,2662

Denominators are 404,978

The GCF of 498,2662 is 2 .

LCM of 404,978 is 197556.

The greatest common factor of 498/404,2662/978 = [GCF of 498,2662]/[LCM of 404,978]= 2/197556

Therefore, the GCF of 498/404,2662/978 is 2/197556.

Greatest Common Factor of 498,2662

To find the highest common factor of 498,2662, we have to find the factors of both numbers and list the highest common factor.

The factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498

The factors of 2662 are 1, 2, 11, 22, 121, 242, 1331, 2662

The HCF of 498,2662 is 2.

Lets's calculate GCF of 498,2662

Greatest Common Factor (GCF) of 498,2662 By Common Division

2	498, 2662
	249, 1331

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

Greatest Common Factor of 498,2662 By Matching Biggest Common Factor Method

Now, list down the factors of 498

1,2,3,6,83,166,249,498

Now, list down the factors of 2662

1,2,11,22,121,242,1331,2662

Greatest Common Factor

We found the factors 498,2662 . The biggest common factor number is the GCF number.
So the greatest common factor 498,2662 is 2.

Lets's calculate LCM of 404,978

Lowest Common Multiple of 404,978 using Common Division

2	404, 978
	202, 489

∴ So the LCM of the given numbers is 2 x 202 x 489 = 197556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/197556

Therefore, the GCF of Fractions 498/404,2662/978 is 2/197556

Least Common Multiple of 404,978 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 404,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,978) = 2

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

GCF(404,978) x common factors =2 x 1 = 2

LCM(404,978) = ( 404 × 978 ) / 2

LCM(404,978) = 395112 / 2

LCM(404,978) = 197556

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FAQs on GCF of Fractions of 498/404, 2662/978

1. What is the HCF of 498,2662?

The HCF of 498,2662 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 498/404, 2662/978?

Answer: GCF of Numerators as per given numbers 498/404, 2662/978 is

GCF of Numerators i.e. for 498,2662 is 2

LCM of denominators i.e. for 404,978 is 197556.

Thus, GCF of Fractions is 2/197556.Finally, GCF of Fractions for 498/404, 2662/978 is 2/197556.