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GCF of 13/249, 78/2691

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 13/249, 78/2691 i.e 13/223353 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/249, 78/2691.

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 13/249,78/2691?

Given fractions are 13/249,78/2691

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 13/249,78/2691, numerators are 13,78

Denominators are 249,2691

The GCF of 13,78 is 13 .

LCM of 249,2691 is 223353.

The greatest common factor of 13/249,78/2691 = [GCF of 13,78]/[LCM of 249,2691]= 13/223353

Therefore, the GCF of 13/249,78/2691 is 13/223353.

Greatest Common Factor of 13,78

To find the highest common factor of 13,78, 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 78 are 1, 2, 3, 6, 13, 26, 39, 78

The HCF of 13,78 is 13.

Lets's calculate GCF of 13,78

Greatest Common Factor (GCF) of 13,78 By Common Division

13 13, 78
1, 6

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

Greatest Common Factor of 13,78 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,78 By Matching Biggest Common Factor Method

Now, list down the factors of 13

:

1,13

Now, list down the factors of 78

:

1,2,3,6,13,26,39,78

Greatest Common Factor

We found the factors 13,78 . The biggest common factor number is the GCF number.
So the greatest common factor 13,78 is 13.

Lets's calculate LCM of 249,2691

Lowest Common Multiple of 249,2691 using Common Division

3 249, 2691
83, 897

∴ So the LCM of the given numbers is 3 x 83 x 897 = 223353

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/223353

Therefore, the GCF of Fractions 13/249,78/2691 is 13/223353

Least Common Multiple of 249,2691 with GCF Formula

Least Common Multiple of 249,2691 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 249,2691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,2691) = 3

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

GCF(249,2691) x common factors =3 x 1 = 3

LCM(249,2691) = ( 249 × 2691 ) / 3

LCM(249,2691) = 670059 / 3

LCM(249,2691) = 223353


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FAQs on GCF of Fractions of 13/249, 78/2691

1. What is the HCF of 13,78?

The HCF of 13,78 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 13/249, 78/2691?

Answer: GCF of Numerators as per given numbers 13/249, 78/2691 is

GCF of Numerators i.e. for 13,78 is 13

LCM of denominators i.e. for 249,2691 is 223353.

Thus, GCF of Fractions is 13/223353.Finally, GCF of Fractions for 13/249, 78/2691 is 13/223353.