How to Find GCF of 5297/496, 8041/203?

GCF of 5297/496, 8041/203

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 5297/496, 8041/203 i.e 1/100688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5297/496, 8041/203.

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 5297/496,8041/203?

Given fractions are 5297/496,8041/203

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 5297/496,8041/203, numerators are 5297,8041

Denominators are 496,203

The GCF of 5297,8041 is 1 .

LCM of 496,203 is 100688.

The greatest common factor of 5297/496,8041/203 = [GCF of 5297,8041]/[LCM of 496,203]= 1/100688

Therefore, the GCF of 5297/496,8041/203 is 1/100688.

Greatest Common Factor of 5297,8041

To find the highest common factor of 5297,8041, we have to find the factors of both numbers and list the highest common factor.

The factors of 5297 are 1, 5297

The factors of 8041 are 1, 11, 17, 43, 187, 473, 731, 8041

The HCF of 5297,8041 is 1.

Lets's calculate GCF of 5297,8041

Greatest Common Factor (GCF) of 5297,8041 By Common Division

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

Greatest Common Factor of 5297,8041 By Matching Biggest Common Factor Method

Now, list down the factors of 5297

1,5297

Now, list down the factors of 8041

1,11,17,43,187,473,731,8041

Greatest Common Factor

We found the factors 5297,8041 . The biggest common factor number is the GCF number.
So the greatest common factor 5297,8041 is 1.

Lets's calculate LCM of 496,203

Lowest Common Multiple of 496,203 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 100688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100688

Therefore, the GCF of Fractions 5297/496,8041/203 is 1/100688

Least Common Multiple of 496,203 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 496,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,203) = 1

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

GCF(496,203) x common factors =1 x 1 = 1

LCM(496,203) = ( 496 × 203 ) / 1

LCM(496,203) = 100688 / 1

LCM(496,203) = 100688

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FAQs on GCF of Fractions of 5297/496, 8041/203

1. What is the HCF of 5297,8041?

The HCF of 5297,8041 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 5297/496, 8041/203?

Answer: GCF of Numerators as per given numbers 5297/496, 8041/203 is

GCF of Numerators i.e. for 5297,8041 is 1

LCM of denominators i.e. for 496,203 is 100688.

Thus, GCF of Fractions is 1/100688.Finally, GCF of Fractions for 5297/496, 8041/203 is 1/100688.