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GCF of 726/671, 6985/5548

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 726/671, 6985/5548 i.e 11/3722708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 726/671, 6985/5548.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 726/671,6985/5548?

Given fractions are 726/671,6985/5548

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 726/671,6985/5548, numerators are 726,6985

Denominators are 671,5548

The GCF of 726,6985 is 11 .

LCM of 671,5548 is 3722708.

The greatest common factor of 726/671,6985/5548 = [GCF of 726,6985]/[LCM of 671,5548]= 11/3722708

Therefore, the GCF of 726/671,6985/5548 is 11/3722708.

Greatest Common Factor of 726,6985

To find the highest common factor of 726,6985, we have to find the factors of both numbers and list the highest common factor.

The factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

The factors of 6985 are 1, 5, 11, 55, 127, 635, 1397, 6985

The HCF of 726,6985 is 11.

Lets's calculate GCF of 726,6985

Greatest Common Factor (GCF) of 726,6985 By Common Division

11 726, 6985
66, 635

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 726,6985 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,6985 By Matching Biggest Common Factor Method

Now, list down the factors of 726

:

1,2,3,6,11,22,33,66,121,242,363,726

Now, list down the factors of 6985

:

1,5,11,55,127,635,1397,6985

Greatest Common Factor

We found the factors 726,6985 . The biggest common factor number is the GCF number.
So the greatest common factor 726,6985 is 11.


Lets's calculate LCM of 671,5548

Lowest Common Multiple of 671,5548 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3722708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/3722708

Therefore, the GCF of Fractions 726/671,6985/5548 is 11/3722708

Least Common Multiple of 671,5548 with GCF Formula

Least Common Multiple of 671,5548 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 671,5548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,5548) = 1

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

GCF(671,5548) x common factors =1 x 1 = 1

LCM(671,5548) = ( 671 × 5548 ) / 1

LCM(671,5548) = 3722708 / 1

LCM(671,5548) = 3722708


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 726/671, 6985/5548

1. What is the HCF of 726,6985?

The HCF of 726,6985 is 11

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 726/671, 6985/5548?

Answer: GCF of Numerators as per given numbers 726/671, 6985/5548 is

GCF of Numerators i.e. for 726,6985 is 11

LCM of denominators i.e. for 671,5548 is 3722708.

Thus, GCF of Fractions is 11/3722708.Finally, GCF of Fractions for 726/671, 6985/5548 is 11/3722708.