How to Find GCF of 258/111, 499/354?

GCF of 258/111, 499/354

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 258/111, 499/354 i.e 1/13098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 258/111, 499/354.

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 258/111,499/354?

Given fractions are 258/111,499/354

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 258/111,499/354, numerators are 258,499

Denominators are 111,354

The GCF of 258,499 is 1 .

LCM of 111,354 is 13098.

The greatest common factor of 258/111,499/354 = [GCF of 258,499]/[LCM of 111,354]= 1/13098

Therefore, the GCF of 258/111,499/354 is 1/13098.

Greatest Common Factor of 258,499

To find the highest common factor of 258,499, we have to find the factors of both numbers and list the highest common factor.

The factors of 258 are 1, 2, 3, 6, 43, 86, 129, 258

The factors of 499 are 1, 499

The HCF of 258,499 is 1.

Lets's calculate GCF of 258,499

Greatest Common Factor (GCF) of 258,499 By Common Division

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

Greatest Common Factor of 258,499 By Matching Biggest Common Factor Method

Now, list down the factors of 258

1,2,3,6,43,86,129,258

Now, list down the factors of 499

1,499

Greatest Common Factor

We found the factors 258,499 . The biggest common factor number is the GCF number.
So the greatest common factor 258,499 is 1.

Lets's calculate LCM of 111,354

Lowest Common Multiple of 111,354 using Common Division

3	111, 354
	37, 118

∴ So the LCM of the given numbers is 3 x 37 x 118 = 13098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13098

Therefore, the GCF of Fractions 258/111,499/354 is 1/13098

Least Common Multiple of 111,354 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 111,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,354) = 3

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

GCF(111,354) x common factors =3 x 1 = 3

LCM(111,354) = ( 111 × 354 ) / 3

LCM(111,354) = 39294 / 3

LCM(111,354) = 13098

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FAQs on GCF of Fractions of 258/111, 499/354

1. What is the HCF of 258,499?

The HCF of 258,499 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 258/111, 499/354?

Answer: GCF of Numerators as per given numbers 258/111, 499/354 is

GCF of Numerators i.e. for 258,499 is 1

LCM of denominators i.e. for 111,354 is 13098.

Thus, GCF of Fractions is 1/13098.Finally, GCF of Fractions for 258/111, 499/354 is 1/13098.