How to Find GCF of 5469/629, 3349/8079?

GCF of 5469/629, 3349/8079

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 5469/629, 3349/8079 i.e 1/5081691 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5469/629, 3349/8079.

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 5469/629,3349/8079?

Given fractions are 5469/629,3349/8079

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 5469/629,3349/8079, numerators are 5469,3349

Denominators are 629,8079

The GCF of 5469,3349 is 1 .

LCM of 629,8079 is 5081691.

The greatest common factor of 5469/629,3349/8079 = [GCF of 5469,3349]/[LCM of 629,8079]= 1/5081691

Therefore, the GCF of 5469/629,3349/8079 is 1/5081691.

Greatest Common Factor of 5469,3349

To find the highest common factor of 5469,3349, we have to find the factors of both numbers and list the highest common factor.

The factors of 5469 are 1, 3, 1823, 5469

The factors of 3349 are 1, 17, 197, 3349

The HCF of 5469,3349 is 1.

Lets's calculate GCF of 5469,3349

Greatest Common Factor (GCF) of 5469,3349 By Common Division

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

Greatest Common Factor of 5469,3349 By Matching Biggest Common Factor Method

Now, list down the factors of 5469

1,3,1823,5469

Now, list down the factors of 3349

1,17,197,3349

Greatest Common Factor

We found the factors 5469,3349 . The biggest common factor number is the GCF number.
So the greatest common factor 5469,3349 is 1.

Lets's calculate LCM of 629,8079

Lowest Common Multiple of 629,8079 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5081691

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5081691

Therefore, the GCF of Fractions 5469/629,3349/8079 is 1/5081691

Least Common Multiple of 629,8079 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 629,8079 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(629,8079) = 1

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

GCF(629,8079) x common factors =1 x 1 = 1

LCM(629,8079) = ( 629 × 8079 ) / 1

LCM(629,8079) = 5081691 / 1

LCM(629,8079) = 5081691

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FAQs on GCF of Fractions of 5469/629, 3349/8079

1. What is the HCF of 5469,3349?

The HCF of 5469,3349 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 5469/629, 3349/8079?

Answer: GCF of Numerators as per given numbers 5469/629, 3349/8079 is

GCF of Numerators i.e. for 5469,3349 is 1

LCM of denominators i.e. for 629,8079 is 5081691.

Thus, GCF of Fractions is 1/5081691.Finally, GCF of Fractions for 5469/629, 3349/8079 is 1/5081691.