How to Find GCF of 44/93, 43/10, 427/410?

GCF of 44/93, 43/10, 427/410

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 44/93, 43/10, 427/410 i.e 1/38130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/93, 43/10, 427/410.

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 44/93,43/10,427/410?

Given fractions are 44/93,43/10,427/410

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 44/93,43/10,427/410, numerators are 44,43,427

Denominators are 93,10,410

The GCF of 44,43,427 is 1 .

LCM of 93,10,410 is 38130.

The greatest common factor of 44/93,43/10,427/410 = [GCF of 44,43,427]/[LCM of 93,10,410]= 1/38130

Therefore, the GCF of 44/93,43/10,427/410 is 1/38130.

Greatest Common Factor of 44,43,427

To find the highest common factor of 44,43,427, we have to find the factors of both numbers and list the highest common factor.

The factors of 44 are 1, 2, 4, 11, 22, 44

The factors of 43 are 1, 43

The factors of 427 are 1, 7, 61, 427

The HCF of 44,43,427 is 1.

Lets's calculate GCF of 44,43,427

Greatest Common Factor (GCF) of 44,43,427 By Common Division

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

Greatest Common Factor of 44,43,427 By Matching Biggest Common Factor Method

Now, list down the factors of 44

1,2,4,11,22,44

Now, list down the factors of 43

1,43

Now, list down the factors of 427

1,7,61,427

Greatest Common Factor

We found the factors 44,43,427 . The biggest common factor number is the GCF number.
So the greatest common factor 44,43,427 is 1.

Lets's calculate LCM of 93,10,410

Lowest Common Multiple of 93,10,410 using Common Division

2	93, 10, 410
5	93, 5, 205
	93, 1, 41

∴ So the LCM of the given numbers is 2 x 5 x 93 x 1 x 41 = 38130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38130

Therefore, the GCF of Fractions 44/93,43/10,427/410 is 1/38130

Least Common Multiple of 93,10,410 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 93,10,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,10,410) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(93,10,410) x common factors =1 x 10 = 10

LCM(93,10,410) = ( 93 × 10 × 410 ) / 10

LCM(93,10,410) = 381300 / 10

LCM(93,10,410) = 38130

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FAQs on GCF of Fractions of 44/93, 43/10, 427/410

1. What is the HCF of 44,43,427?

The HCF of 44,43,427 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 44/93, 43/10, 427/410?

Answer: GCF of Numerators as per given numbers 44/93, 43/10, 427/410 is

GCF of Numerators i.e. for 44,43,427 is 1

LCM of denominators i.e. for 93,10,410 is 38130.

Thus, GCF of Fractions is 1/38130.Finally, GCF of Fractions for 44/93, 43/10, 427/410 is 1/38130.