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GCF of 263/500, 379/590

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 263/500, 379/590 i.e 1/29500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 263/500, 379/590.

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 263/500,379/590?

Given fractions are 263/500,379/590

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 263/500,379/590, numerators are 263,379

Denominators are 500,590

The GCF of 263,379 is 1 .

LCM of 500,590 is 29500.

The greatest common factor of 263/500,379/590 = [GCF of 263,379]/[LCM of 500,590]= 1/29500

Therefore, the GCF of 263/500,379/590 is 1/29500.

Greatest Common Factor of 263,379

To find the highest common factor of 263,379, we have to find the factors of both numbers and list the highest common factor.

The factors of 263 are 1, 263

The factors of 379 are 1, 379

The HCF of 263,379 is 1.

Lets's calculate GCF of 263,379

Greatest Common Factor (GCF) of 263,379 By Common Division

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

Greatest Common Factor of 263,379 By Matching Biggest Common Factor Method

Greatest Common Factor of 263,379 By Matching Biggest Common Factor Method

Now, list down the factors of 263

:

1,263

Now, list down the factors of 379

:

1,379

Greatest Common Factor

We found the factors 263,379 . The biggest common factor number is the GCF number.
So the greatest common factor 263,379 is 1.

Lets's calculate LCM of 500,590

Lowest Common Multiple of 500,590 using Common Division

2 500, 590
5 250, 295
50, 59

∴ So the LCM of the given numbers is 2 x 5 x 50 x 59 = 29500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29500

Therefore, the GCF of Fractions 263/500,379/590 is 1/29500

Least Common Multiple of 500,590 with GCF Formula

Least Common Multiple of 500,590 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 500,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,590) = 10

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

GCF(500,590) x common factors =10 x 1 = 10

LCM(500,590) = ( 500 × 590 ) / 10

LCM(500,590) = 295000 / 10

LCM(500,590) = 29500


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 263/500, 379/590

1. What is the HCF of 263,379?

The HCF of 263,379 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 263/500, 379/590?

Answer: GCF of Numerators as per given numbers 263/500, 379/590 is

GCF of Numerators i.e. for 263,379 is 1

LCM of denominators i.e. for 500,590 is 29500.

Thus, GCF of Fractions is 1/29500.Finally, GCF of Fractions for 263/500, 379/590 is 1/29500.