How to Find GCF of 44/83, 267/95, 993/467?

GCF of 44/83, 267/95, 993/467

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 44/83, 267/95, 993/467 i.e 1/3682295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/83, 267/95, 993/467.

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 44/83,267/95,993/467?

Given fractions are 44/83,267/95,993/467

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 44/83,267/95,993/467, numerators are 44,267,993

Denominators are 83,95,467

The GCF of 44,267,993 is 1 .

LCM of 83,95,467 is 3682295.

The greatest common factor of 44/83,267/95,993/467 = [GCF of 44,267,993]/[LCM of 83,95,467]= 1/3682295

Therefore, the GCF of 44/83,267/95,993/467 is 1/3682295.

Greatest Common Factor of 44,267,993

To find the highest common factor of 44,267,993, 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 267 are 1, 3, 89, 267

The factors of 993 are 1, 3, 331, 993

The HCF of 44,267,993 is 1.

Lets's calculate GCF of 44,267,993

Greatest Common Factor (GCF) of 44,267,993 By Common Division

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

Greatest Common Factor of 44,267,993 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 267

1,3,89,267

Now, list down the factors of 993

1,3,331,993

Greatest Common Factor

We found the factors 44,267,993 . The biggest common factor number is the GCF number.
So the greatest common factor 44,267,993 is 1.

Lets's calculate LCM of 83,95,467

Lowest Common Multiple of 83,95,467 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3682295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3682295

Therefore, the GCF of Fractions 44/83,267/95,993/467 is 1/3682295

Least Common Multiple of 83,95,467 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 83,95,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,95,467) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(83,95,467) x common factors =1 x 1 = 1

LCM(83,95,467) = ( 83 × 95 × 467 ) / 1

LCM(83,95,467) = 3682295 / 1

LCM(83,95,467) = 3682295

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 44/83, 267/95, 993/467

1. What is the HCF of 44,267,993?

The HCF of 44,267,993 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 44/83, 267/95, 993/467?

Answer: GCF of Numerators as per given numbers 44/83, 267/95, 993/467 is

GCF of Numerators i.e. for 44,267,993 is 1

LCM of denominators i.e. for 83,95,467 is 3682295.

Thus, GCF of Fractions is 1/3682295.Finally, GCF of Fractions for 44/83, 267/95, 993/467 is 1/3682295.