How to Find GCF of 93/40, 33/99, 214/162?

GCF of 93/40, 33/99, 214/162

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 93/40, 33/99, 214/162 i.e 1/35640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 93/40, 33/99, 214/162.

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 93/40,33/99,214/162?

Given fractions are 93/40,33/99,214/162

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 93/40,33/99,214/162, numerators are 93,33,214

Denominators are 40,99,162

The GCF of 93,33,214 is 1 .

LCM of 40,99,162 is 35640.

The greatest common factor of 93/40,33/99,214/162 = [GCF of 93,33,214]/[LCM of 40,99,162]= 1/35640

Therefore, the GCF of 93/40,33/99,214/162 is 1/35640.

Greatest Common Factor of 93,33,214

To find the highest common factor of 93,33,214, we have to find the factors of both numbers and list the highest common factor.

The factors of 93 are 1, 3, 31, 93

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

The factors of 214 are 1, 2, 107, 214

The HCF of 93,33,214 is 1.

Lets's calculate GCF of 93,33,214

Greatest Common Factor (GCF) of 93,33,214 By Common Division

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

Greatest Common Factor of 93,33,214 By Matching Biggest Common Factor Method

Now, list down the factors of 93

1,3,31,93

Now, list down the factors of 33

1,3,11,33

Now, list down the factors of 214

1,2,107,214

Greatest Common Factor

We found the factors 93,33,214 . The biggest common factor number is the GCF number.
So the greatest common factor 93,33,214 is 1.

Lets's calculate LCM of 40,99,162

Lowest Common Multiple of 40,99,162 using Common Division

2	40, 99, 162
3	20, 99, 81
3	20, 33, 27
	20, 11, 9

∴ So the LCM of the given numbers is 2 x 3 x 3 x 20 x 11 x 9 = 35640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35640

Therefore, the GCF of Fractions 93/40,33/99,214/162 is 1/35640

Least Common Multiple of 40,99,162 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 40,99,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,99,162) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(40,99,162) x common factors =1 x 18 = 18

LCM(40,99,162) = ( 40 × 99 × 162 ) / 18

LCM(40,99,162) = 641520 / 18

LCM(40,99,162) = 35640

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FAQs on GCF of Fractions of 93/40, 33/99, 214/162

1. What is the HCF of 93,33,214?

The HCF of 93,33,214 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 93/40, 33/99, 214/162?

Answer: GCF of Numerators as per given numbers 93/40, 33/99, 214/162 is

GCF of Numerators i.e. for 93,33,214 is 1

LCM of denominators i.e. for 40,99,162 is 35640.

Thus, GCF of Fractions is 1/35640.Finally, GCF of Fractions for 93/40, 33/99, 214/162 is 1/35640.