How to Find GCF of 14/14, 327/25, 263/556?

GCF of 14/14, 327/25, 263/556

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 14/14, 327/25, 263/556 i.e 1/97300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/14, 327/25, 263/556.

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 14/14,327/25,263/556?

Given fractions are 14/14,327/25,263/556

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 14/14,327/25,263/556, numerators are 14,327,263

Denominators are 14,25,556

The GCF of 14,327,263 is 1 .

LCM of 14,25,556 is 97300.

The greatest common factor of 14/14,327/25,263/556 = [GCF of 14,327,263]/[LCM of 14,25,556]= 1/97300

Therefore, the GCF of 14/14,327/25,263/556 is 1/97300.

Greatest Common Factor of 14,327,263

To find the highest common factor of 14,327,263, we have to find the factors of both numbers and list the highest common factor.

The factors of 14 are 1, 2, 7, 14

The factors of 327 are 1, 3, 109, 327

The factors of 263 are 1, 263

The HCF of 14,327,263 is 1.

Lets's calculate GCF of 14,327,263

Greatest Common Factor (GCF) of 14,327,263 By Common Division

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

Greatest Common Factor of 14,327,263 By Matching Biggest Common Factor Method

Now, list down the factors of 14

1,2,7,14

Now, list down the factors of 327

1,3,109,327

Now, list down the factors of 263

1,263

Greatest Common Factor

We found the factors 14,327,263 . The biggest common factor number is the GCF number.
So the greatest common factor 14,327,263 is 1.

Lets's calculate LCM of 14,25,556

Lowest Common Multiple of 14,25,556 using Common Division

2	14, 25, 556
	7, 25, 278

∴ So the LCM of the given numbers is 2 x 7 x 25 x 278 = 97300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97300

Therefore, the GCF of Fractions 14/14,327/25,263/556 is 1/97300

Least Common Multiple of 14,25,556 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 14,25,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,25,556) = 1

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

GCF(14,25,556) x common factors =1 x 2 = 2

LCM(14,25,556) = ( 14 × 25 × 556 ) / 2

LCM(14,25,556) = 194600 / 2

LCM(14,25,556) = 97300

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FAQs on GCF of Fractions of 14/14, 327/25, 263/556

1. What is the HCF of 14,327,263?

The HCF of 14,327,263 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 14/14, 327/25, 263/556?

Answer: GCF of Numerators as per given numbers 14/14, 327/25, 263/556 is

GCF of Numerators i.e. for 14,327,263 is 1

LCM of denominators i.e. for 14,25,556 is 97300.

Thus, GCF of Fractions is 1/97300.Finally, GCF of Fractions for 14/14, 327/25, 263/556 is 1/97300.