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GCF of 511/500, 184/514

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 511/500, 184/514 i.e 1/128500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 511/500, 184/514.

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 511/500,184/514?

Given fractions are 511/500,184/514

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 511/500,184/514, numerators are 511,184

Denominators are 500,514

The GCF of 511,184 is 1 .

LCM of 500,514 is 128500.

The greatest common factor of 511/500,184/514 = [GCF of 511,184]/[LCM of 500,514]= 1/128500

Therefore, the GCF of 511/500,184/514 is 1/128500.

Greatest Common Factor of 511,184

To find the highest common factor of 511,184, we have to find the factors of both numbers and list the highest common factor.

The factors of 511 are 1, 7, 73, 511

The factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184

The HCF of 511,184 is 1.

Lets's calculate GCF of 511,184

Greatest Common Factor (GCF) of 511,184 By Common Division

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

Greatest Common Factor of 511,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 511,184 By Matching Biggest Common Factor Method

Now, list down the factors of 511

:

1,7,73,511

Now, list down the factors of 184

:

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 511,184 . The biggest common factor number is the GCF number.
So the greatest common factor 511,184 is 1.

Lets's calculate LCM of 500,514

Lowest Common Multiple of 500,514 using Common Division

2 500, 514
250, 257

∴ So the LCM of the given numbers is 2 x 250 x 257 = 128500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128500

Therefore, the GCF of Fractions 511/500,184/514 is 1/128500

Least Common Multiple of 500,514 with GCF Formula

Least Common Multiple of 500,514 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 500,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,514) = 2

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

GCF(500,514) x common factors =2 x 1 = 2

LCM(500,514) = ( 500 × 514 ) / 2

LCM(500,514) = 257000 / 2

LCM(500,514) = 128500


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FAQs on GCF of Fractions of 511/500, 184/514

1. What is the HCF of 511,184?

The HCF of 511,184 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 511/500, 184/514?

Answer: GCF of Numerators as per given numbers 511/500, 184/514 is

GCF of Numerators i.e. for 511,184 is 1

LCM of denominators i.e. for 500,514 is 128500.

Thus, GCF of Fractions is 1/128500.Finally, GCF of Fractions for 511/500, 184/514 is 1/128500.