How to Find GCF of 5486/113, 5415/7118?

GCF of 5486/113, 5415/7118

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 5486/113, 5415/7118 i.e 1/804334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5486/113, 5415/7118.

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 5486/113,5415/7118?

Given fractions are 5486/113,5415/7118

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 5486/113,5415/7118, numerators are 5486,5415

Denominators are 113,7118

The GCF of 5486,5415 is 1 .

LCM of 113,7118 is 804334.

The greatest common factor of 5486/113,5415/7118 = [GCF of 5486,5415]/[LCM of 113,7118]= 1/804334

Therefore, the GCF of 5486/113,5415/7118 is 1/804334.

Greatest Common Factor of 5486,5415

To find the highest common factor of 5486,5415, we have to find the factors of both numbers and list the highest common factor.

The factors of 5486 are 1, 2, 13, 26, 211, 422, 2743, 5486

The factors of 5415 are 1, 3, 5, 15, 19, 57, 95, 285, 361, 1083, 1805, 5415

The HCF of 5486,5415 is 1.

Lets's calculate GCF of 5486,5415

Greatest Common Factor (GCF) of 5486,5415 By Common Division

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

Greatest Common Factor of 5486,5415 By Matching Biggest Common Factor Method

Now, list down the factors of 5486

1,2,13,26,211,422,2743,5486

Now, list down the factors of 5415

1,3,5,15,19,57,95,285,361,1083,1805,5415

Greatest Common Factor

We found the factors 5486,5415 . The biggest common factor number is the GCF number.
So the greatest common factor 5486,5415 is 1.

Lets's calculate LCM of 113,7118

Lowest Common Multiple of 113,7118 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 804334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/804334

Therefore, the GCF of Fractions 5486/113,5415/7118 is 1/804334

Least Common Multiple of 113,7118 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 113,7118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(113,7118) = 1

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

GCF(113,7118) x common factors =1 x 1 = 1

LCM(113,7118) = ( 113 × 7118 ) / 1

LCM(113,7118) = 804334 / 1

LCM(113,7118) = 804334

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FAQs on GCF of Fractions of 5486/113, 5415/7118

1. What is the HCF of 5486,5415?

The HCF of 5486,5415 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 5486/113, 5415/7118?

Answer: GCF of Numerators as per given numbers 5486/113, 5415/7118 is

GCF of Numerators i.e. for 5486,5415 is 1

LCM of denominators i.e. for 113,7118 is 804334.

Thus, GCF of Fractions is 1/804334.Finally, GCF of Fractions for 5486/113, 5415/7118 is 1/804334.