How to Find GCF of 81/719, 565/769, 161/975?

GCF of 81/719, 565/769, 161/975

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 81/719, 565/769, 161/975 i.e 1/539088225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/719, 565/769, 161/975.

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 81/719,565/769,161/975?

Given fractions are 81/719,565/769,161/975

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 81/719,565/769,161/975, numerators are 81,565,161

Denominators are 719,769,975

The GCF of 81,565,161 is 1 .

LCM of 719,769,975 is 539088225.

The greatest common factor of 81/719,565/769,161/975 = [GCF of 81,565,161]/[LCM of 719,769,975]= 1/539088225

Therefore, the GCF of 81/719,565/769,161/975 is 1/539088225.

Greatest Common Factor of 81,565,161

To find the highest common factor of 81,565,161, we have to find the factors of both numbers and list the highest common factor.

The factors of 81 are 1, 3, 9, 27, 81

The factors of 565 are 1, 5, 113, 565

The factors of 161 are 1, 7, 23, 161

The HCF of 81,565,161 is 1.

Lets's calculate GCF of 81,565,161

Greatest Common Factor (GCF) of 81,565,161 By Common Division

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

Greatest Common Factor of 81,565,161 By Matching Biggest Common Factor Method

Now, list down the factors of 81

1,3,9,27,81

Now, list down the factors of 565

1,5,113,565

Now, list down the factors of 161

1,7,23,161

Greatest Common Factor

We found the factors 81,565,161 . The biggest common factor number is the GCF number.
So the greatest common factor 81,565,161 is 1.

Lets's calculate LCM of 719,769,975

Lowest Common Multiple of 719,769,975 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 539088225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/539088225

Therefore, the GCF of Fractions 81/719,565/769,161/975 is 1/539088225

Least Common Multiple of 719,769,975 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 719,769,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(719,769,975) = 1

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

GCF(719,769,975) x common factors =1 x 1 = 1

LCM(719,769,975) = ( 719 × 769 × 975 ) / 1

LCM(719,769,975) = 539088225 / 1

LCM(719,769,975) = 539088225

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 81/719, 565/769, 161/975

1. What is the HCF of 81,565,161?

The HCF of 81,565,161 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 81/719, 565/769, 161/975?

Answer: GCF of Numerators as per given numbers 81/719, 565/769, 161/975 is

GCF of Numerators i.e. for 81,565,161 is 1

LCM of denominators i.e. for 719,769,975 is 539088225.

Thus, GCF of Fractions is 1/539088225.Finally, GCF of Fractions for 81/719, 565/769, 161/975 is 1/539088225.