How to Find GCF of 86/60, 28/954, 272/258?

GCF of 86/60, 28/954, 272/258

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 86/60, 28/954, 272/258 i.e 2/410220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/60, 28/954, 272/258.

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 86/60,28/954,272/258?

Given fractions are 86/60,28/954,272/258

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 86/60,28/954,272/258, numerators are 86,28,272

Denominators are 60,954,258

The GCF of 86,28,272 is 2 .

LCM of 60,954,258 is 410220.

The greatest common factor of 86/60,28/954,272/258 = [GCF of 86,28,272]/[LCM of 60,954,258]= 2/410220

Therefore, the GCF of 86/60,28/954,272/258 is 2/410220.

Greatest Common Factor of 86,28,272

To find the highest common factor of 86,28,272, we have to find the factors of both numbers and list the highest common factor.

The factors of 86 are 1, 2, 43, 86

The factors of 28 are 1, 2, 4, 7, 14, 28

The factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

The HCF of 86,28,272 is 2.

Lets's calculate GCF of 86,28,272

Greatest Common Factor (GCF) of 86,28,272 By Common Division

2	86, 28, 272
	43, 14, 136

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 86,28,272 By Matching Biggest Common Factor Method

Now, list down the factors of 86

1,2,43,86

Now, list down the factors of 28

1,2,4,7,14,28

Now, list down the factors of 272

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 86,28,272 . The biggest common factor number is the GCF number.
So the greatest common factor 86,28,272 is 2.

Lets's calculate LCM of 60,954,258

Lowest Common Multiple of 60,954,258 using Common Division

2	60, 954, 258
3	30, 477, 129
	10, 159, 43

∴ So the LCM of the given numbers is 2 x 3 x 10 x 159 x 43 = 410220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/410220

Therefore, the GCF of Fractions 86/60,28/954,272/258 is 2/410220

Least Common Multiple of 60,954,258 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 60,954,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,954,258) = 6

common factors(in case of two or more numbers have common factors) = 6

GCF(60,954,258) x common factors =6 x 6 = 36

LCM(60,954,258) = ( 60 × 954 × 258 ) / 36

LCM(60,954,258) = 14767920 / 36

LCM(60,954,258) = 410220

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 86/60, 28/954, 272/258

1. What is the HCF of 86,28,272?

The HCF of 86,28,272 is 2

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 86/60, 28/954, 272/258?

Answer: GCF of Numerators as per given numbers 86/60, 28/954, 272/258 is

GCF of Numerators i.e. for 86,28,272 is 2

LCM of denominators i.e. for 60,954,258 is 410220.

Thus, GCF of Fractions is 2/410220.Finally, GCF of Fractions for 86/60, 28/954, 272/258 is 2/410220.