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GCF of 499/82, 198/454

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 499/82, 198/454 i.e 1/18614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 499/82, 198/454.

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 499/82,198/454?

Given fractions are 499/82,198/454

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 499/82,198/454, numerators are 499,198

Denominators are 82,454

The GCF of 499,198 is 1 .

LCM of 82,454 is 18614.

The greatest common factor of 499/82,198/454 = [GCF of 499,198]/[LCM of 82,454]= 1/18614

Therefore, the GCF of 499/82,198/454 is 1/18614.

Greatest Common Factor of 499,198

To find the highest common factor of 499,198, we have to find the factors of both numbers and list the highest common factor.

The factors of 499 are 1, 499

The factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

The HCF of 499,198 is 1.

Lets's calculate GCF of 499,198

Greatest Common Factor (GCF) of 499,198 By Common Division

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

Greatest Common Factor of 499,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,198 By Matching Biggest Common Factor Method

Now, list down the factors of 499

:

1,499

Now, list down the factors of 198

:

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 499,198 . The biggest common factor number is the GCF number.
So the greatest common factor 499,198 is 1.

Lets's calculate LCM of 82,454

Lowest Common Multiple of 82,454 using Common Division

2 82, 454
41, 227

∴ So the LCM of the given numbers is 2 x 41 x 227 = 18614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18614

Therefore, the GCF of Fractions 499/82,198/454 is 1/18614

Least Common Multiple of 82,454 with GCF Formula

Least Common Multiple of 82,454 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 82,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,454) = 2

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

GCF(82,454) x common factors =2 x 1 = 2

LCM(82,454) = ( 82 × 454 ) / 2

LCM(82,454) = 37228 / 2

LCM(82,454) = 18614


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FAQs on GCF of Fractions of 499/82, 198/454

1. What is the HCF of 499,198?

The HCF of 499,198 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 499/82, 198/454?

Answer: GCF of Numerators as per given numbers 499/82, 198/454 is

GCF of Numerators i.e. for 499,198 is 1

LCM of denominators i.e. for 82,454 is 18614.

Thus, GCF of Fractions is 1/18614.Finally, GCF of Fractions for 499/82, 198/454 is 1/18614.