How to Find GCF of 73/88, 33/276, 561/456?

GCF of 73/88, 33/276, 561/456

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 73/88, 33/276, 561/456 i.e 1/115368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 73/88, 33/276, 561/456.

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 73/88,33/276,561/456?

Given fractions are 73/88,33/276,561/456

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 73/88,33/276,561/456, numerators are 73,33,561

Denominators are 88,276,456

The GCF of 73,33,561 is 1 .

LCM of 88,276,456 is 115368.

The greatest common factor of 73/88,33/276,561/456 = [GCF of 73,33,561]/[LCM of 88,276,456]= 1/115368

Therefore, the GCF of 73/88,33/276,561/456 is 1/115368.

Greatest Common Factor of 73,33,561

To find the highest common factor of 73,33,561, we have to find the factors of both numbers and list the highest common factor.

The factors of 73 are 1, 73

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

The factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561

The HCF of 73,33,561 is 1.

Lets's calculate GCF of 73,33,561

Greatest Common Factor (GCF) of 73,33,561 By Common Division

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

Greatest Common Factor of 73,33,561 By Matching Biggest Common Factor Method

Now, list down the factors of 73

1,73

Now, list down the factors of 33

1,3,11,33

Now, list down the factors of 561

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 73,33,561 . The biggest common factor number is the GCF number.
So the greatest common factor 73,33,561 is 1.

Lets's calculate LCM of 88,276,456

Lowest Common Multiple of 88,276,456 using Common Division

2	88, 276, 456
2	44, 138, 228
2	22, 69, 114
3	11, 69, 57
	11, 23, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 23 x 19 = 115368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115368

Therefore, the GCF of Fractions 73/88,33/276,561/456 is 1/115368

Least Common Multiple of 88,276,456 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 88,276,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,276,456) = 4

common factors(in case of two or more numbers have common factors) = 24

GCF(88,276,456) x common factors =4 x 24 = 96

LCM(88,276,456) = ( 88 × 276 × 456 ) / 96

LCM(88,276,456) = 11075328 / 96

LCM(88,276,456) = 115368

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FAQs on GCF of Fractions of 73/88, 33/276, 561/456

1. What is the HCF of 73,33,561?

The HCF of 73,33,561 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 73/88, 33/276, 561/456?

Answer: GCF of Numerators as per given numbers 73/88, 33/276, 561/456 is

GCF of Numerators i.e. for 73,33,561 is 1

LCM of denominators i.e. for 88,276,456 is 115368.

Thus, GCF of Fractions is 1/115368.Finally, GCF of Fractions for 73/88, 33/276, 561/456 is 1/115368.