How to Find GCF of 5531/673, 4910/8413?

GCF of 5531/673, 4910/8413

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 5531/673, 4910/8413 i.e 1/5661949 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5531/673, 4910/8413.

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 5531/673,4910/8413?

Given fractions are 5531/673,4910/8413

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 5531/673,4910/8413, numerators are 5531,4910

Denominators are 673,8413

The GCF of 5531,4910 is 1 .

LCM of 673,8413 is 5661949.

The greatest common factor of 5531/673,4910/8413 = [GCF of 5531,4910]/[LCM of 673,8413]= 1/5661949

Therefore, the GCF of 5531/673,4910/8413 is 1/5661949.

Greatest Common Factor of 5531,4910

To find the highest common factor of 5531,4910, we have to find the factors of both numbers and list the highest common factor.

The factors of 5531 are 1, 5531

The factors of 4910 are 1, 2, 5, 10, 491, 982, 2455, 4910

The HCF of 5531,4910 is 1.

Lets's calculate GCF of 5531,4910

Greatest Common Factor (GCF) of 5531,4910 By Common Division

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

Greatest Common Factor of 5531,4910 By Matching Biggest Common Factor Method

Now, list down the factors of 5531

1,5531

Now, list down the factors of 4910

1,2,5,10,491,982,2455,4910

Greatest Common Factor

We found the factors 5531,4910 . The biggest common factor number is the GCF number.
So the greatest common factor 5531,4910 is 1.

Lets's calculate LCM of 673,8413

Lowest Common Multiple of 673,8413 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5661949

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5661949

Therefore, the GCF of Fractions 5531/673,4910/8413 is 1/5661949

Least Common Multiple of 673,8413 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 673,8413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(673,8413) = 1

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

GCF(673,8413) x common factors =1 x 1 = 1

LCM(673,8413) = ( 673 × 8413 ) / 1

LCM(673,8413) = 5661949 / 1

LCM(673,8413) = 5661949

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FAQs on GCF of Fractions of 5531/673, 4910/8413

1. What is the HCF of 5531,4910?

The HCF of 5531,4910 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 5531/673, 4910/8413?

Answer: GCF of Numerators as per given numbers 5531/673, 4910/8413 is

GCF of Numerators i.e. for 5531,4910 is 1

LCM of denominators i.e. for 673,8413 is 5661949.

Thus, GCF of Fractions is 1/5661949.Finally, GCF of Fractions for 5531/673, 4910/8413 is 1/5661949.