How to Find GCF of 5531/879, 8853/4943?

GCF of 5531/879, 8853/4943

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 5531/879, 8853/4943 i.e 1/4344897 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5531/879, 8853/4943.

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 5531/879,8853/4943?

Given fractions are 5531/879,8853/4943

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 5531/879,8853/4943, numerators are 5531,8853

Denominators are 879,4943

The GCF of 5531,8853 is 1 .

LCM of 879,4943 is 4344897.

The greatest common factor of 5531/879,8853/4943 = [GCF of 5531,8853]/[LCM of 879,4943]= 1/4344897

Therefore, the GCF of 5531/879,8853/4943 is 1/4344897.

Greatest Common Factor of 5531,8853

To find the highest common factor of 5531,8853, 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 8853 are 1, 3, 13, 39, 227, 681, 2951, 8853

The HCF of 5531,8853 is 1.

Lets's calculate GCF of 5531,8853

Greatest Common Factor (GCF) of 5531,8853 By Common Division

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

Greatest Common Factor of 5531,8853 By Matching Biggest Common Factor Method

Now, list down the factors of 5531

1,5531

Now, list down the factors of 8853

1,3,13,39,227,681,2951,8853

Greatest Common Factor

We found the factors 5531,8853 . The biggest common factor number is the GCF number.
So the greatest common factor 5531,8853 is 1.

Lets's calculate LCM of 879,4943

Lowest Common Multiple of 879,4943 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4344897

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4344897

Therefore, the GCF of Fractions 5531/879,8853/4943 is 1/4344897

Least Common Multiple of 879,4943 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 879,4943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(879,4943) = 1

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

GCF(879,4943) x common factors =1 x 1 = 1

LCM(879,4943) = ( 879 × 4943 ) / 1

LCM(879,4943) = 4344897 / 1

LCM(879,4943) = 4344897

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FAQs on GCF of Fractions of 5531/879, 8853/4943

1. What is the HCF of 5531,8853?

The HCF of 5531,8853 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 5531/879, 8853/4943?

Answer: GCF of Numerators as per given numbers 5531/879, 8853/4943 is

GCF of Numerators i.e. for 5531,8853 is 1

LCM of denominators i.e. for 879,4943 is 4344897.

Thus, GCF of Fractions is 1/4344897.Finally, GCF of Fractions for 5531/879, 8853/4943 is 1/4344897.