How to Find GCF of 94/30, 66/11, 268/143?

GCF of 94/30, 66/11, 268/143

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 94/30, 66/11, 268/143 i.e 2/4290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/30, 66/11, 268/143.

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 94/30,66/11,268/143?

Given fractions are 94/30,66/11,268/143

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 94/30,66/11,268/143, numerators are 94,66,268

Denominators are 30,11,143

The GCF of 94,66,268 is 2 .

LCM of 30,11,143 is 4290.

The greatest common factor of 94/30,66/11,268/143 = [GCF of 94,66,268]/[LCM of 30,11,143]= 2/4290

Therefore, the GCF of 94/30,66/11,268/143 is 2/4290.

Greatest Common Factor of 94,66,268

To find the highest common factor of 94,66,268, we have to find the factors of both numbers and list the highest common factor.

The factors of 94 are 1, 2, 47, 94

The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66

The factors of 268 are 1, 2, 4, 67, 134, 268

The HCF of 94,66,268 is 2.

Lets's calculate GCF of 94,66,268

Greatest Common Factor (GCF) of 94,66,268 By Common Division

2	94, 66, 268
	47, 33, 134

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

Greatest Common Factor of 94,66,268 By Matching Biggest Common Factor Method

Now, list down the factors of 94

1,2,47,94

Now, list down the factors of 66

1,2,3,6,11,22,33,66

Now, list down the factors of 268

1,2,4,67,134,268

Greatest Common Factor

We found the factors 94,66,268 . The biggest common factor number is the GCF number.
So the greatest common factor 94,66,268 is 2.

Lets's calculate LCM of 30,11,143

Lowest Common Multiple of 30,11,143 using Common Division

11	30, 11, 143
	30, 1, 13

∴ So the LCM of the given numbers is 11 x 30 x 1 x 13 = 4290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4290

Therefore, the GCF of Fractions 94/30,66/11,268/143 is 2/4290

Least Common Multiple of 30,11,143 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 30,11,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,11,143) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(30,11,143) x common factors =1 x 11 = 11

LCM(30,11,143) = ( 30 × 11 × 143 ) / 11

LCM(30,11,143) = 47190 / 11

LCM(30,11,143) = 4290

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FAQs on GCF of Fractions of 94/30, 66/11, 268/143

1. What is the HCF of 94,66,268?

The HCF of 94,66,268 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 94/30, 66/11, 268/143?

Answer: GCF of Numerators as per given numbers 94/30, 66/11, 268/143 is

GCF of Numerators i.e. for 94,66,268 is 2

LCM of denominators i.e. for 30,11,143 is 4290.

Thus, GCF of Fractions is 2/4290.Finally, GCF of Fractions for 94/30, 66/11, 268/143 is 2/4290.