How to Find GCF of 293/502, 5006/9079?

GCF of 293/502, 5006/9079

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 293/502, 5006/9079 i.e 1/4557658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 293/502, 5006/9079.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 293/502,5006/9079?

Given fractions are 293/502,5006/9079

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 293/502,5006/9079, numerators are 293,5006

Denominators are 502,9079

The GCF of 293,5006 is 1 .

LCM of 502,9079 is 4557658.

The greatest common factor of 293/502,5006/9079 = [GCF of 293,5006]/[LCM of 502,9079]= 1/4557658

Therefore, the GCF of 293/502,5006/9079 is 1/4557658.

Greatest Common Factor of 293,5006

To find the highest common factor of 293,5006, we have to find the factors of both numbers and list the highest common factor.

The factors of 293 are 1, 293

The factors of 5006 are 1, 2, 2503, 5006

The HCF of 293,5006 is 1.

Lets's calculate GCF of 293,5006

Greatest Common Factor (GCF) of 293,5006 By Common Division

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

Greatest Common Factor of 293,5006 By Matching Biggest Common Factor Method

Now, list down the factors of 293

1,293

Now, list down the factors of 5006

1,2,2503,5006

Greatest Common Factor

We found the factors 293,5006 . The biggest common factor number is the GCF number.
So the greatest common factor 293,5006 is 1.

Lets's calculate LCM of 502,9079

Lowest Common Multiple of 502,9079 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4557658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4557658

Therefore, the GCF of Fractions 293/502,5006/9079 is 1/4557658

Least Common Multiple of 502,9079 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 502,9079 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,9079) = 1

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

GCF(502,9079) x common factors =1 x 1 = 1

LCM(502,9079) = ( 502 × 9079 ) / 1

LCM(502,9079) = 4557658 / 1

LCM(502,9079) = 4557658

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FAQs on GCF of Fractions of 293/502, 5006/9079

1. What is the HCF of 293,5006?

The HCF of 293,5006 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 293/502, 5006/9079?

Answer: GCF of Numerators as per given numbers 293/502, 5006/9079 is

GCF of Numerators i.e. for 293,5006 is 1

LCM of denominators i.e. for 502,9079 is 4557658.

Thus, GCF of Fractions is 1/4557658.Finally, GCF of Fractions for 293/502, 5006/9079 is 1/4557658.