How to Find GCF of 5193/553, 8014/629?

GCF of 5193/553, 8014/629

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 5193/553, 8014/629 i.e 1/347837 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5193/553, 8014/629.

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 5193/553,8014/629?

Given fractions are 5193/553,8014/629

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 5193/553,8014/629, numerators are 5193,8014

Denominators are 553,629

The GCF of 5193,8014 is 1 .

LCM of 553,629 is 347837.

The greatest common factor of 5193/553,8014/629 = [GCF of 5193,8014]/[LCM of 553,629]= 1/347837

Therefore, the GCF of 5193/553,8014/629 is 1/347837.

Greatest Common Factor of 5193,8014

To find the highest common factor of 5193,8014, we have to find the factors of both numbers and list the highest common factor.

The factors of 5193 are 1, 3, 9, 577, 1731, 5193

The factors of 8014 are 1, 2, 4007, 8014

The HCF of 5193,8014 is 1.

Lets's calculate GCF of 5193,8014

Greatest Common Factor (GCF) of 5193,8014 By Common Division

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

Greatest Common Factor of 5193,8014 By Matching Biggest Common Factor Method

Now, list down the factors of 5193

1,3,9,577,1731,5193

Now, list down the factors of 8014

1,2,4007,8014

Greatest Common Factor

We found the factors 5193,8014 . The biggest common factor number is the GCF number.
So the greatest common factor 5193,8014 is 1.

Lets's calculate LCM of 553,629

Lowest Common Multiple of 553,629 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 347837

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/347837

Therefore, the GCF of Fractions 5193/553,8014/629 is 1/347837

Least Common Multiple of 553,629 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 553,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,629) = 1

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

GCF(553,629) x common factors =1 x 1 = 1

LCM(553,629) = ( 553 × 629 ) / 1

LCM(553,629) = 347837 / 1

LCM(553,629) = 347837

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FAQs on GCF of Fractions of 5193/553, 8014/629

1. What is the HCF of 5193,8014?

The HCF of 5193,8014 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 5193/553, 8014/629?

Answer: GCF of Numerators as per given numbers 5193/553, 8014/629 is

GCF of Numerators i.e. for 5193,8014 is 1

LCM of denominators i.e. for 553,629 is 347837.

Thus, GCF of Fractions is 1/347837.Finally, GCF of Fractions for 5193/553, 8014/629 is 1/347837.