How to Find GCF of 5591/107, 2487/6727?

GCF of 5591/107, 2487/6727

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 5591/107, 2487/6727 i.e 1/719789 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5591/107, 2487/6727.

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 5591/107,2487/6727?

Given fractions are 5591/107,2487/6727

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 5591/107,2487/6727, numerators are 5591,2487

Denominators are 107,6727

The GCF of 5591,2487 is 1 .

LCM of 107,6727 is 719789.

The greatest common factor of 5591/107,2487/6727 = [GCF of 5591,2487]/[LCM of 107,6727]= 1/719789

Therefore, the GCF of 5591/107,2487/6727 is 1/719789.

Greatest Common Factor of 5591,2487

To find the highest common factor of 5591,2487, we have to find the factors of both numbers and list the highest common factor.

The factors of 5591 are 1, 5591

The factors of 2487 are 1, 3, 829, 2487

The HCF of 5591,2487 is 1.

Lets's calculate GCF of 5591,2487

Greatest Common Factor (GCF) of 5591,2487 By Common Division

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

Greatest Common Factor of 5591,2487 By Matching Biggest Common Factor Method

Now, list down the factors of 5591

1,5591

Now, list down the factors of 2487

1,3,829,2487

Greatest Common Factor

We found the factors 5591,2487 . The biggest common factor number is the GCF number.
So the greatest common factor 5591,2487 is 1.

Lets's calculate LCM of 107,6727

Lowest Common Multiple of 107,6727 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 719789

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/719789

Therefore, the GCF of Fractions 5591/107,2487/6727 is 1/719789

Least Common Multiple of 107,6727 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 107,6727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,6727) = 1

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

GCF(107,6727) x common factors =1 x 1 = 1

LCM(107,6727) = ( 107 × 6727 ) / 1

LCM(107,6727) = 719789 / 1

LCM(107,6727) = 719789

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FAQs on GCF of Fractions of 5591/107, 2487/6727

1. What is the HCF of 5591,2487?

The HCF of 5591,2487 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 5591/107, 2487/6727?

Answer: GCF of Numerators as per given numbers 5591/107, 2487/6727 is

GCF of Numerators i.e. for 5591,2487 is 1

LCM of denominators i.e. for 107,6727 is 719789.

Thus, GCF of Fractions is 1/719789.Finally, GCF of Fractions for 5591/107, 2487/6727 is 1/719789.