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GCF of 633/80, 514/982

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 633/80, 514/982 i.e 1/39280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 633/80, 514/982.

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 633/80,514/982?

Given fractions are 633/80,514/982

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 633/80,514/982, numerators are 633,514

Denominators are 80,982

The GCF of 633,514 is 1 .

LCM of 80,982 is 39280.

The greatest common factor of 633/80,514/982 = [GCF of 633,514]/[LCM of 80,982]= 1/39280

Therefore, the GCF of 633/80,514/982 is 1/39280.

Greatest Common Factor of 633,514

To find the highest common factor of 633,514, we have to find the factors of both numbers and list the highest common factor.

The factors of 633 are 1, 3, 211, 633

The factors of 514 are 1, 2, 257, 514

The HCF of 633,514 is 1.

Lets's calculate GCF of 633,514

Greatest Common Factor (GCF) of 633,514 By Common Division

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

Greatest Common Factor of 633,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 633,514 By Matching Biggest Common Factor Method

Now, list down the factors of 633

:

1,3,211,633

Now, list down the factors of 514

:

1,2,257,514

Greatest Common Factor

We found the factors 633,514 . The biggest common factor number is the GCF number.
So the greatest common factor 633,514 is 1.

Lets's calculate LCM of 80,982

Lowest Common Multiple of 80,982 using Common Division

2 80, 982
40, 491

∴ So the LCM of the given numbers is 2 x 40 x 491 = 39280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39280

Therefore, the GCF of Fractions 633/80,514/982 is 1/39280

Least Common Multiple of 80,982 with GCF Formula

Least Common Multiple of 80,982 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 80,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,982) = 2

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

GCF(80,982) x common factors =2 x 1 = 2

LCM(80,982) = ( 80 × 982 ) / 2

LCM(80,982) = 78560 / 2

LCM(80,982) = 39280


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FAQs on GCF of Fractions of 633/80, 514/982

1. What is the HCF of 633,514?

The HCF of 633,514 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 633/80, 514/982?

Answer: GCF of Numerators as per given numbers 633/80, 514/982 is

GCF of Numerators i.e. for 633,514 is 1

LCM of denominators i.e. for 80,982 is 39280.

Thus, GCF of Fractions is 1/39280.Finally, GCF of Fractions for 633/80, 514/982 is 1/39280.