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GCF of 726/34, 110/706

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 726/34, 110/706 i.e 22/12002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 726/34, 110/706.

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 726/34,110/706?

Given fractions are 726/34,110/706

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 726/34,110/706, numerators are 726,110

Denominators are 34,706

The GCF of 726,110 is 22 .

LCM of 34,706 is 12002.

The greatest common factor of 726/34,110/706 = [GCF of 726,110]/[LCM of 34,706]= 22/12002

Therefore, the GCF of 726/34,110/706 is 22/12002.

Greatest Common Factor of 726,110

To find the highest common factor of 726,110, 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 110 are 1, 2, 5, 10, 11, 22, 55, 110

The HCF of 726,110 is 22.

Lets's calculate GCF of 726,110

Greatest Common Factor (GCF) of 726,110 By Common Division

2 726, 110
11 363, 55
33, 5

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 726,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,110 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 110

:

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 726,110 . The biggest common factor number is the GCF number.
So the greatest common factor 726,110 is 22.

Lets's calculate LCM of 34,706

Lowest Common Multiple of 34,706 using Common Division

2 34, 706
17, 353

∴ So the LCM of the given numbers is 2 x 17 x 353 = 12002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/12002

Therefore, the GCF of Fractions 726/34,110/706 is 22/12002

Least Common Multiple of 34,706 with GCF Formula

Least Common Multiple of 34,706 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 34,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,706) = 2

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

GCF(34,706) x common factors =2 x 1 = 2

LCM(34,706) = ( 34 × 706 ) / 2

LCM(34,706) = 24004 / 2

LCM(34,706) = 12002


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 726/34, 110/706

1. What is the HCF of 726,110?

The HCF of 726,110 is 22

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 726/34, 110/706?

Answer: GCF of Numerators as per given numbers 726/34, 110/706 is

GCF of Numerators i.e. for 726,110 is 22

LCM of denominators i.e. for 34,706 is 12002.

Thus, GCF of Fractions is 22/12002.Finally, GCF of Fractions for 726/34, 110/706 is 22/12002.