How to Find GCF of 998/33, 499/839?

GCF of 998/33, 499/839

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 998/33, 499/839 i.e 499/27687 easily. The following is the detailed procedure to determine the greatest common factor of fractions 998/33, 499/839.

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 998/33,499/839?

Given fractions are 998/33,499/839

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 998/33,499/839, numerators are 998,499

Denominators are 33,839

The GCF of 998,499 is 499 .

LCM of 33,839 is 27687.

The greatest common factor of 998/33,499/839 = [GCF of 998,499]/[LCM of 33,839]= 499/27687

Therefore, the GCF of 998/33,499/839 is 499/27687.

Greatest Common Factor of 998,499

To find the highest common factor of 998,499, we have to find the factors of both numbers and list the highest common factor.

The factors of 998 are 1, 2, 499, 998

The factors of 499 are 1, 499

The HCF of 998,499 is 499.

Lets's calculate GCF of 998,499

Greatest Common Factor (GCF) of 998,499 By Common Division

499	998, 499
	2, 1

∴ So the GCF of the given numbers is 499 = 499

Greatest Common Factor of 998,499 By Matching Biggest Common Factor Method

Now, list down the factors of 998

1,2,499,998

Now, list down the factors of 499

1,499

Greatest Common Factor

We found the factors 998,499 . The biggest common factor number is the GCF number.
So the greatest common factor 998,499 is 499.

Lets's calculate LCM of 33,839

Lowest Common Multiple of 33,839 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 27687

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 499/27687

Therefore, the GCF of Fractions 998/33,499/839 is 499/27687

Least Common Multiple of 33,839 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 33,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,839) = 1

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

GCF(33,839) x common factors =1 x 1 = 1

LCM(33,839) = ( 33 × 839 ) / 1

LCM(33,839) = 27687 / 1

LCM(33,839) = 27687

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FAQs on GCF of Fractions of 998/33, 499/839

1. What is the HCF of 998,499?

The HCF of 998,499 is 499

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 998/33, 499/839?

Answer: GCF of Numerators as per given numbers 998/33, 499/839 is

GCF of Numerators i.e. for 998,499 is 499

LCM of denominators i.e. for 33,839 is 27687.

Thus, GCF of Fractions is 499/27687.Finally, GCF of Fractions for 998/33, 499/839 is 499/27687.