How to Find GCF of 99/342, 26/160, 419/544?

GCF of 99/342, 26/160, 419/544

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 99/342, 26/160, 419/544 i.e 1/465120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/342, 26/160, 419/544.

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 99/342,26/160,419/544?

Given fractions are 99/342,26/160,419/544

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 99/342,26/160,419/544, numerators are 99,26,419

Denominators are 342,160,544

The GCF of 99,26,419 is 1 .

LCM of 342,160,544 is 465120.

The greatest common factor of 99/342,26/160,419/544 = [GCF of 99,26,419]/[LCM of 342,160,544]= 1/465120

Therefore, the GCF of 99/342,26/160,419/544 is 1/465120.

Greatest Common Factor of 99,26,419

To find the highest common factor of 99,26,419, we have to find the factors of both numbers and list the highest common factor.

The factors of 99 are 1, 3, 9, 11, 33, 99

The factors of 26 are 1, 2, 13, 26

The factors of 419 are 1, 419

The HCF of 99,26,419 is 1.

Lets's calculate GCF of 99,26,419

Greatest Common Factor (GCF) of 99,26,419 By Common Division

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

Greatest Common Factor of 99,26,419 By Matching Biggest Common Factor Method

Now, list down the factors of 99

1,3,9,11,33,99

Now, list down the factors of 26

1,2,13,26

Now, list down the factors of 419

1,419

Greatest Common Factor

We found the factors 99,26,419 . The biggest common factor number is the GCF number.
So the greatest common factor 99,26,419 is 1.

Lets's calculate LCM of 342,160,544

Lowest Common Multiple of 342,160,544 using Common Division

2	342, 160, 544
2	171, 80, 272
2	171, 40, 136
2	171, 20, 68
2	171, 10, 34
	171, 5, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 171 x 5 x 17 = 465120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/465120

Therefore, the GCF of Fractions 99/342,26/160,419/544 is 1/465120

Least Common Multiple of 342,160,544 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 342,160,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,160,544) = 2

common factors(in case of two or more numbers have common factors) = 32

GCF(342,160,544) x common factors =2 x 32 = 64

LCM(342,160,544) = ( 342 × 160 × 544 ) / 64

LCM(342,160,544) = 29767680 / 64

LCM(342,160,544) = 465120

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 99/342, 26/160, 419/544

1. What is the HCF of 99,26,419?

The HCF of 99,26,419 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 99/342, 26/160, 419/544?

Answer: GCF of Numerators as per given numbers 99/342, 26/160, 419/544 is

GCF of Numerators i.e. for 99,26,419 is 1

LCM of denominators i.e. for 342,160,544 is 465120.

Thus, GCF of Fractions is 1/465120.Finally, GCF of Fractions for 99/342, 26/160, 419/544 is 1/465120.