How to Find GCF of 33/227, 91/776, 719/884?

GCF of 33/227, 91/776, 719/884

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 33/227, 91/776, 719/884 i.e 1/38929592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 33/227, 91/776, 719/884.

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 33/227,91/776,719/884?

Given fractions are 33/227,91/776,719/884

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 33/227,91/776,719/884, numerators are 33,91,719

Denominators are 227,776,884

The GCF of 33,91,719 is 1 .

LCM of 227,776,884 is 38929592.

The greatest common factor of 33/227,91/776,719/884 = [GCF of 33,91,719]/[LCM of 227,776,884]= 1/38929592

Therefore, the GCF of 33/227,91/776,719/884 is 1/38929592.

Greatest Common Factor of 33,91,719

To find the highest common factor of 33,91,719, 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 91 are 1, 7, 13, 91

The factors of 719 are 1, 719

The HCF of 33,91,719 is 1.

Lets's calculate GCF of 33,91,719

Greatest Common Factor (GCF) of 33,91,719 By Common Division

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

Greatest Common Factor of 33,91,719 By Matching Biggest Common Factor Method

Now, list down the factors of 33

1,3,11,33

Now, list down the factors of 91

1,7,13,91

Now, list down the factors of 719

1,719

Greatest Common Factor

We found the factors 33,91,719 . The biggest common factor number is the GCF number.
So the greatest common factor 33,91,719 is 1.

Lets's calculate LCM of 227,776,884

Lowest Common Multiple of 227,776,884 using Common Division

2	227, 776, 884
2	227, 388, 442
	227, 194, 221

∴ So the LCM of the given numbers is 2 x 2 x 227 x 194 x 221 = 38929592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38929592

Therefore, the GCF of Fractions 33/227,91/776,719/884 is 1/38929592

Least Common Multiple of 227,776,884 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 227,776,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(227,776,884) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(227,776,884) x common factors =1 x 4 = 4

LCM(227,776,884) = ( 227 × 776 × 884 ) / 4

LCM(227,776,884) = 155718368 / 4

LCM(227,776,884) = 38929592

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 33/227, 91/776, 719/884

1. What is the HCF of 33,91,719?

The HCF of 33,91,719 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 33/227, 91/776, 719/884?

Answer: GCF of Numerators as per given numbers 33/227, 91/776, 719/884 is

GCF of Numerators i.e. for 33,91,719 is 1

LCM of denominators i.e. for 227,776,884 is 38929592.

Thus, GCF of Fractions is 1/38929592.Finally, GCF of Fractions for 33/227, 91/776, 719/884 is 1/38929592.