How to Find GCF of 5486/423, 5107/8164?

GCF of 5486/423, 5107/8164

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 5486/423, 5107/8164 i.e 1/3453372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5486/423, 5107/8164.

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 5486/423,5107/8164?

Given fractions are 5486/423,5107/8164

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 5486/423,5107/8164, numerators are 5486,5107

Denominators are 423,8164

The GCF of 5486,5107 is 1 .

LCM of 423,8164 is 3453372.

The greatest common factor of 5486/423,5107/8164 = [GCF of 5486,5107]/[LCM of 423,8164]= 1/3453372

Therefore, the GCF of 5486/423,5107/8164 is 1/3453372.

Greatest Common Factor of 5486,5107

To find the highest common factor of 5486,5107, 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 5107 are 1, 5107

The HCF of 5486,5107 is 1.

Lets's calculate GCF of 5486,5107

Greatest Common Factor (GCF) of 5486,5107 By Common Division

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

Greatest Common Factor of 5486,5107 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 5107

1,5107

Greatest Common Factor

We found the factors 5486,5107 . The biggest common factor number is the GCF number.
So the greatest common factor 5486,5107 is 1.

Lets's calculate LCM of 423,8164

Lowest Common Multiple of 423,8164 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3453372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3453372

Therefore, the GCF of Fractions 5486/423,5107/8164 is 1/3453372

Least Common Multiple of 423,8164 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 423,8164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,8164) = 1

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

GCF(423,8164) x common factors =1 x 1 = 1

LCM(423,8164) = ( 423 × 8164 ) / 1

LCM(423,8164) = 3453372 / 1

LCM(423,8164) = 3453372

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FAQs on GCF of Fractions of 5486/423, 5107/8164

1. What is the HCF of 5486,5107?

The HCF of 5486,5107 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 5486/423, 5107/8164?

Answer: GCF of Numerators as per given numbers 5486/423, 5107/8164 is

GCF of Numerators i.e. for 5486,5107 is 1

LCM of denominators i.e. for 423,8164 is 3453372.

Thus, GCF of Fractions is 1/3453372.Finally, GCF of Fractions for 5486/423, 5107/8164 is 1/3453372.