How to Find GCF of 6737/726, 4541/9859?

GCF of 6737/726, 4541/9859

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 6737/726, 4541/9859 i.e 1/7157634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6737/726, 4541/9859.

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 6737/726,4541/9859?

Given fractions are 6737/726,4541/9859

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 6737/726,4541/9859, numerators are 6737,4541

Denominators are 726,9859

The GCF of 6737,4541 is 1 .

LCM of 726,9859 is 7157634.

The greatest common factor of 6737/726,4541/9859 = [GCF of 6737,4541]/[LCM of 726,9859]= 1/7157634

Therefore, the GCF of 6737/726,4541/9859 is 1/7157634.

Greatest Common Factor of 6737,4541

To find the highest common factor of 6737,4541, we have to find the factors of both numbers and list the highest common factor.

The factors of 6737 are 1, 6737

The factors of 4541 are 1, 19, 239, 4541

The HCF of 6737,4541 is 1.

Lets's calculate GCF of 6737,4541

Greatest Common Factor (GCF) of 6737,4541 By Common Division

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

Greatest Common Factor of 6737,4541 By Matching Biggest Common Factor Method

Now, list down the factors of 6737

1,6737

Now, list down the factors of 4541

1,19,239,4541

Greatest Common Factor

We found the factors 6737,4541 . The biggest common factor number is the GCF number.
So the greatest common factor 6737,4541 is 1.

Lets's calculate LCM of 726,9859

Lowest Common Multiple of 726,9859 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7157634

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7157634

Therefore, the GCF of Fractions 6737/726,4541/9859 is 1/7157634

Least Common Multiple of 726,9859 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 726,9859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,9859) = 1

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

GCF(726,9859) x common factors =1 x 1 = 1

LCM(726,9859) = ( 726 × 9859 ) / 1

LCM(726,9859) = 7157634 / 1

LCM(726,9859) = 7157634

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FAQs on GCF of Fractions of 6737/726, 4541/9859

1. What is the HCF of 6737,4541?

The HCF of 6737,4541 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 6737/726, 4541/9859?

Answer: GCF of Numerators as per given numbers 6737/726, 4541/9859 is

GCF of Numerators i.e. for 6737,4541 is 1

LCM of denominators i.e. for 726,9859 is 7157634.

Thus, GCF of Fractions is 1/7157634.Finally, GCF of Fractions for 6737/726, 4541/9859 is 1/7157634.