How to Find GCF of 71/43, 88/64, 220/80?

GCF of 71/43, 88/64, 220/80

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 71/43, 88/64, 220/80 i.e 1/13760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 71/43, 88/64, 220/80.

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 71/43,88/64,220/80?

Given fractions are 71/43,88/64,220/80

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 71/43,88/64,220/80, numerators are 71,88,220

Denominators are 43,64,80

The GCF of 71,88,220 is 1 .

LCM of 43,64,80 is 13760.

The greatest common factor of 71/43,88/64,220/80 = [GCF of 71,88,220]/[LCM of 43,64,80]= 1/13760

Therefore, the GCF of 71/43,88/64,220/80 is 1/13760.

Greatest Common Factor of 71,88,220

To find the highest common factor of 71,88,220, we have to find the factors of both numbers and list the highest common factor.

The factors of 71 are 1, 71

The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88

The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

The HCF of 71,88,220 is 1.

Lets's calculate GCF of 71,88,220

Greatest Common Factor (GCF) of 71,88,220 By Common Division

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

Greatest Common Factor of 71,88,220 By Matching Biggest Common Factor Method

Now, list down the factors of 71

1,71

Now, list down the factors of 88

1,2,4,8,11,22,44,88

Now, list down the factors of 220

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 71,88,220 . The biggest common factor number is the GCF number.
So the greatest common factor 71,88,220 is 1.

Lets's calculate LCM of 43,64,80

Lowest Common Multiple of 43,64,80 using Common Division

2	43, 64, 80
2	43, 32, 40
2	43, 16, 20
2	43, 8, 10
	43, 4, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 43 x 4 x 5 = 13760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13760

Therefore, the GCF of Fractions 71/43,88/64,220/80 is 1/13760

Least Common Multiple of 43,64,80 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 43,64,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,64,80) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(43,64,80) x common factors =1 x 16 = 16

LCM(43,64,80) = ( 43 × 64 × 80 ) / 16

LCM(43,64,80) = 220160 / 16

LCM(43,64,80) = 13760

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 71/43, 88/64, 220/80

1. What is the HCF of 71,88,220?

The HCF of 71,88,220 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 71/43, 88/64, 220/80?

Answer: GCF of Numerators as per given numbers 71/43, 88/64, 220/80 is

GCF of Numerators i.e. for 71,88,220 is 1

LCM of denominators i.e. for 43,64,80 is 13760.

Thus, GCF of Fractions is 1/13760.Finally, GCF of Fractions for 71/43, 88/64, 220/80 is 1/13760.