How to Find GCF of 13/178, 14/514, 611/725?

GCF of 13/178, 14/514, 611/725

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 13/178, 14/514, 611/725 i.e 1/33165850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/178, 14/514, 611/725.

Enter two or more fractions separated by "commas"

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

What is the GCF of 13/178,14/514,611/725?

Given fractions are 13/178,14/514,611/725

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 13/178,14/514,611/725, numerators are 13,14,611

Denominators are 178,514,725

The GCF of 13,14,611 is 1 .

LCM of 178,514,725 is 33165850.

The greatest common factor of 13/178,14/514,611/725 = [GCF of 13,14,611]/[LCM of 178,514,725]= 1/33165850

Therefore, the GCF of 13/178,14/514,611/725 is 1/33165850.

Greatest Common Factor of 13,14,611

To find the highest common factor of 13,14,611, 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 14 are 1, 2, 7, 14

The factors of 611 are 1, 13, 47, 611

The HCF of 13,14,611 is 1.

Lets's calculate GCF of 13,14,611

Greatest Common Factor (GCF) of 13,14,611 By Common Division

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

Greatest Common Factor of 13,14,611 By Matching Biggest Common Factor Method

Now, list down the factors of 13

1,13

Now, list down the factors of 14

1,2,7,14

Now, list down the factors of 611

1,13,47,611

Greatest Common Factor

We found the factors 13,14,611 . The biggest common factor number is the GCF number.
So the greatest common factor 13,14,611 is 1.

Lets's calculate LCM of 178,514,725

Lowest Common Multiple of 178,514,725 using Common Division

2	178, 514, 725
	89, 257, 725

∴ So the LCM of the given numbers is 2 x 89 x 257 x 725 = 33165850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33165850

Therefore, the GCF of Fractions 13/178,14/514,611/725 is 1/33165850

Least Common Multiple of 178,514,725 with GCF Formula

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

We need to calculate greatest common factor of 178,514,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,514,725) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(178,514,725) x common factors =1 x 2 = 2

LCM(178,514,725) = ( 178 × 514 × 725 ) / 2

LCM(178,514,725) = 66331700 / 2

LCM(178,514,725) = 33165850

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FAQs on GCF of Fractions of 13/178, 14/514, 611/725

1. What is the HCF of 13,14,611?

The HCF of 13,14,611 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 13/178, 14/514, 611/725?

Answer: GCF of Numerators as per given numbers 13/178, 14/514, 611/725 is

GCF of Numerators i.e. for 13,14,611 is 1

LCM of denominators i.e. for 178,514,725 is 33165850.

Thus, GCF of Fractions is 1/33165850.Finally, GCF of Fractions for 13/178, 14/514, 611/725 is 1/33165850.