How to Find GCF of 93/44, 71/30, 424/105?

GCF of 93/44, 71/30, 424/105

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 93/44, 71/30, 424/105 i.e 1/4620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 93/44, 71/30, 424/105.

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 93/44,71/30,424/105?

Given fractions are 93/44,71/30,424/105

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 93/44,71/30,424/105, numerators are 93,71,424

Denominators are 44,30,105

The GCF of 93,71,424 is 1 .

LCM of 44,30,105 is 4620.

The greatest common factor of 93/44,71/30,424/105 = [GCF of 93,71,424]/[LCM of 44,30,105]= 1/4620

Therefore, the GCF of 93/44,71/30,424/105 is 1/4620.

Greatest Common Factor of 93,71,424

To find the highest common factor of 93,71,424, 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 71 are 1, 71

The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424

The HCF of 93,71,424 is 1.

Lets's calculate GCF of 93,71,424

Greatest Common Factor (GCF) of 93,71,424 By Common Division

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

Greatest Common Factor of 93,71,424 By Matching Biggest Common Factor Method

Now, list down the factors of 93

1,3,31,93

Now, list down the factors of 71

1,71

Now, list down the factors of 424

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 93,71,424 . The biggest common factor number is the GCF number.
So the greatest common factor 93,71,424 is 1.

Lets's calculate LCM of 44,30,105

Lowest Common Multiple of 44,30,105 using Common Division

2	44, 30, 105
3	22, 15, 105
5	22, 5, 35
	22, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 5 x 22 x 1 x 7 = 4620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4620

Therefore, the GCF of Fractions 93/44,71/30,424/105 is 1/4620

Least Common Multiple of 44,30,105 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 44,30,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,30,105) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(44,30,105) x common factors =1 x 30 = 30

LCM(44,30,105) = ( 44 × 30 × 105 ) / 30

LCM(44,30,105) = 138600 / 30

LCM(44,30,105) = 4620

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FAQs on GCF of Fractions of 93/44, 71/30, 424/105

1. What is the HCF of 93,71,424?

The HCF of 93,71,424 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 93/44, 71/30, 424/105?

Answer: GCF of Numerators as per given numbers 93/44, 71/30, 424/105 is

GCF of Numerators i.e. for 93,71,424 is 1

LCM of denominators i.e. for 44,30,105 is 4620.

Thus, GCF of Fractions is 1/4620.Finally, GCF of Fractions for 93/44, 71/30, 424/105 is 1/4620.