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GCF of 998/208, 323/766

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 998/208, 323/766 i.e 1/79664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 998/208, 323/766.

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 998/208,323/766?

Given fractions are 998/208,323/766

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 998/208,323/766, numerators are 998,323

Denominators are 208,766

The GCF of 998,323 is 1 .

LCM of 208,766 is 79664.

The greatest common factor of 998/208,323/766 = [GCF of 998,323]/[LCM of 208,766]= 1/79664

Therefore, the GCF of 998/208,323/766 is 1/79664.

Greatest Common Factor of 998,323

To find the highest common factor of 998,323, 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 323 are 1, 17, 19, 323

The HCF of 998,323 is 1.

Lets's calculate GCF of 998,323

Greatest Common Factor (GCF) of 998,323 By Common Division

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

Greatest Common Factor of 998,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,323 By Matching Biggest Common Factor Method

Now, list down the factors of 998

:

1,2,499,998

Now, list down the factors of 323

:

1,17,19,323

Greatest Common Factor

We found the factors 998,323 . The biggest common factor number is the GCF number.
So the greatest common factor 998,323 is 1.

Lets's calculate LCM of 208,766

Lowest Common Multiple of 208,766 using Common Division

2 208, 766
104, 383

∴ So the LCM of the given numbers is 2 x 104 x 383 = 79664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79664

Therefore, the GCF of Fractions 998/208,323/766 is 1/79664

Least Common Multiple of 208,766 with GCF Formula

Least Common Multiple of 208,766 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 208,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,766) = 2

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

GCF(208,766) x common factors =2 x 1 = 2

LCM(208,766) = ( 208 × 766 ) / 2

LCM(208,766) = 159328 / 2

LCM(208,766) = 79664


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FAQs on GCF of Fractions of 998/208, 323/766

1. What is the HCF of 998,323?

The HCF of 998,323 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 998/208, 323/766?

Answer: GCF of Numerators as per given numbers 998/208, 323/766 is

GCF of Numerators i.e. for 998,323 is 1

LCM of denominators i.e. for 208,766 is 79664.

Thus, GCF of Fractions is 1/79664.Finally, GCF of Fractions for 998/208, 323/766 is 1/79664.