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GCF of 351/11, 130/805

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 351/11, 130/805 i.e 13/8855 easily. The following is the detailed procedure to determine the greatest common factor of fractions 351/11, 130/805.

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 351/11,130/805?

Given fractions are 351/11,130/805

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 351/11,130/805, numerators are 351,130

Denominators are 11,805

The GCF of 351,130 is 13 .

LCM of 11,805 is 8855.

The greatest common factor of 351/11,130/805 = [GCF of 351,130]/[LCM of 11,805]= 13/8855

Therefore, the GCF of 351/11,130/805 is 13/8855.

Greatest Common Factor of 351,130

To find the highest common factor of 351,130, we have to find the factors of both numbers and list the highest common factor.

The factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351

The factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130

The HCF of 351,130 is 13.

Lets's calculate GCF of 351,130

Greatest Common Factor (GCF) of 351,130 By Common Division

13 351, 130
27, 10

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 351,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,130 By Matching Biggest Common Factor Method

Now, list down the factors of 351

:

1,3,9,13,27,39,117,351

Now, list down the factors of 130

:

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 351,130 . The biggest common factor number is the GCF number.
So the greatest common factor 351,130 is 13.

Lets's calculate LCM of 11,805

Lowest Common Multiple of 11,805 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/8855

Therefore, the GCF of Fractions 351/11,130/805 is 13/8855

Least Common Multiple of 11,805 with GCF Formula

Least Common Multiple of 11,805 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 11,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,805) = 1

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

GCF(11,805) x common factors =1 x 1 = 1

LCM(11,805) = ( 11 × 805 ) / 1

LCM(11,805) = 8855 / 1

LCM(11,805) = 8855


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FAQs on GCF of Fractions of 351/11, 130/805

1. What is the HCF of 351,130?

The HCF of 351,130 is 13

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 351/11, 130/805?

Answer: GCF of Numerators as per given numbers 351/11, 130/805 is

GCF of Numerators i.e. for 351,130 is 13

LCM of denominators i.e. for 11,805 is 8855.

Thus, GCF of Fractions is 13/8855.Finally, GCF of Fractions for 351/11, 130/805 is 13/8855.