How to Find GCF of 443/118, 159/354?

GCF of 443/118, 159/354

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 443/118, 159/354 i.e 1/354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 443/118, 159/354.

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 443/118,159/354?

Given fractions are 443/118,159/354

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 443/118,159/354, numerators are 443,159

Denominators are 118,354

The GCF of 443,159 is 1 .

LCM of 118,354 is 354.

The greatest common factor of 443/118,159/354 = [GCF of 443,159]/[LCM of 118,354]= 1/354

Therefore, the GCF of 443/118,159/354 is 1/354.

Greatest Common Factor of 443,159

To find the highest common factor of 443,159, we have to find the factors of both numbers and list the highest common factor.

The factors of 443 are 1, 443

The factors of 159 are 1, 3, 53, 159

The HCF of 443,159 is 1.

Lets's calculate GCF of 443,159

Greatest Common Factor (GCF) of 443,159 By Common Division

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

Greatest Common Factor of 443,159 By Matching Biggest Common Factor Method

Now, list down the factors of 443

1,443

Now, list down the factors of 159

1,3,53,159

Greatest Common Factor

We found the factors 443,159 . The biggest common factor number is the GCF number.
So the greatest common factor 443,159 is 1.

Lets's calculate LCM of 118,354

Lowest Common Multiple of 118,354 using Common Division

2	118, 354
59	59, 177
	1, 3

∴ So the LCM of the given numbers is 2 x 59 x 1 x 3 = 354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/354

Therefore, the GCF of Fractions 443/118,159/354 is 1/354

Least Common Multiple of 118,354 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 118,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(118,354) = 118

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

GCF(118,354) x common factors =118 x 1 = 118

LCM(118,354) = ( 118 × 354 ) / 118

LCM(118,354) = 41772 / 118

LCM(118,354) = 354

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FAQs on GCF of Fractions of 443/118, 159/354

1. What is the HCF of 443,159?

The HCF of 443,159 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 443/118, 159/354?

Answer: GCF of Numerators as per given numbers 443/118, 159/354 is

GCF of Numerators i.e. for 443,159 is 1

LCM of denominators i.e. for 118,354 is 354.

Thus, GCF of Fractions is 1/354.Finally, GCF of Fractions for 443/118, 159/354 is 1/354.