How to Find GCF of 33/46, 899/95, 813/203?

GCF of 33/46, 899/95, 813/203

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 33/46, 899/95, 813/203 i.e 1/887110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 33/46, 899/95, 813/203.

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 33/46,899/95,813/203?

Given fractions are 33/46,899/95,813/203

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 33/46,899/95,813/203, numerators are 33,899,813

Denominators are 46,95,203

The GCF of 33,899,813 is 1 .

LCM of 46,95,203 is 887110.

The greatest common factor of 33/46,899/95,813/203 = [GCF of 33,899,813]/[LCM of 46,95,203]= 1/887110

Therefore, the GCF of 33/46,899/95,813/203 is 1/887110.

Greatest Common Factor of 33,899,813

To find the highest common factor of 33,899,813, we have to find the factors of both numbers and list the highest common factor.

The factors of 33 are 1, 3, 11, 33

The factors of 899 are 1, 29, 31, 899

The factors of 813 are 1, 3, 271, 813

The HCF of 33,899,813 is 1.

Lets's calculate GCF of 33,899,813

Greatest Common Factor (GCF) of 33,899,813 By Common Division

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

Greatest Common Factor of 33,899,813 By Matching Biggest Common Factor Method

Now, list down the factors of 33

1,3,11,33

Now, list down the factors of 899

1,29,31,899

Now, list down the factors of 813

1,3,271,813

Greatest Common Factor

We found the factors 33,899,813 . The biggest common factor number is the GCF number.
So the greatest common factor 33,899,813 is 1.

Lets's calculate LCM of 46,95,203

Lowest Common Multiple of 46,95,203 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 887110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/887110

Therefore, the GCF of Fractions 33/46,899/95,813/203 is 1/887110

Least Common Multiple of 46,95,203 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 46,95,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,95,203) = 1

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

GCF(46,95,203) x common factors =1 x 1 = 1

LCM(46,95,203) = ( 46 × 95 × 203 ) / 1

LCM(46,95,203) = 887110 / 1

LCM(46,95,203) = 887110

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 33/46, 899/95, 813/203

1. What is the HCF of 33,899,813?

The HCF of 33,899,813 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 33/46, 899/95, 813/203?

Answer: GCF of Numerators as per given numbers 33/46, 899/95, 813/203 is

GCF of Numerators i.e. for 33,899,813 is 1

LCM of denominators i.e. for 46,95,203 is 887110.

Thus, GCF of Fractions is 1/887110.Finally, GCF of Fractions for 33/46, 899/95, 813/203 is 1/887110.