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GCF of 13/279, 5674/8016

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 13/279, 5674/8016 i.e 1/745488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/279, 5674/8016.

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 13/279,5674/8016?

Given fractions are 13/279,5674/8016

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 13/279,5674/8016, numerators are 13,5674

Denominators are 279,8016

The GCF of 13,5674 is 1 .

LCM of 279,8016 is 745488.

The greatest common factor of 13/279,5674/8016 = [GCF of 13,5674]/[LCM of 279,8016]= 1/745488

Therefore, the GCF of 13/279,5674/8016 is 1/745488.

Greatest Common Factor of 13,5674

To find the highest common factor of 13,5674, we have to find the factors of both numbers and list the highest common factor.

The factors of 13 are 1, 13

The factors of 5674 are 1, 2, 2837, 5674

The HCF of 13,5674 is 1.

Lets's calculate GCF of 13,5674

Greatest Common Factor (GCF) of 13,5674 By Common Division

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

Greatest Common Factor of 13,5674 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,5674 By Matching Biggest Common Factor Method

Now, list down the factors of 13

:

1,13

Now, list down the factors of 5674

:

1,2,2837,5674

Greatest Common Factor

We found the factors 13,5674 . The biggest common factor number is the GCF number.
So the greatest common factor 13,5674 is 1.

Lets's calculate LCM of 279,8016

Lowest Common Multiple of 279,8016 using Common Division

3 279, 8016
93, 2672

∴ So the LCM of the given numbers is 3 x 93 x 2672 = 745488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/745488

Therefore, the GCF of Fractions 13/279,5674/8016 is 1/745488

Least Common Multiple of 279,8016 with GCF Formula

Least Common Multiple of 279,8016 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 279,8016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,8016) = 3

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

GCF(279,8016) x common factors =3 x 1 = 3

LCM(279,8016) = ( 279 × 8016 ) / 3

LCM(279,8016) = 2236464 / 3

LCM(279,8016) = 745488


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FAQs on GCF of Fractions of 13/279, 5674/8016

1. What is the HCF of 13,5674?

The HCF of 13,5674 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 13/279, 5674/8016?

Answer: GCF of Numerators as per given numbers 13/279, 5674/8016 is

GCF of Numerators i.e. for 13,5674 is 1

LCM of denominators i.e. for 279,8016 is 745488.

Thus, GCF of Fractions is 1/745488.Finally, GCF of Fractions for 13/279, 5674/8016 is 1/745488.