How to Find GCF of 3367/911, 3919/385?

GCF of 3367/911, 3919/385

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 3367/911, 3919/385 i.e 1/350735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3367/911, 3919/385.

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 3367/911,3919/385?

Given fractions are 3367/911,3919/385

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 3367/911,3919/385, numerators are 3367,3919

Denominators are 911,385

The GCF of 3367,3919 is 1 .

LCM of 911,385 is 350735.

The greatest common factor of 3367/911,3919/385 = [GCF of 3367,3919]/[LCM of 911,385]= 1/350735

Therefore, the GCF of 3367/911,3919/385 is 1/350735.

Greatest Common Factor of 3367,3919

To find the highest common factor of 3367,3919, we have to find the factors of both numbers and list the highest common factor.

The factors of 3367 are 1, 7, 13, 37, 91, 259, 481, 3367

The factors of 3919 are 1, 3919

The HCF of 3367,3919 is 1.

Lets's calculate GCF of 3367,3919

Greatest Common Factor (GCF) of 3367,3919 By Common Division

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

Greatest Common Factor of 3367,3919 By Matching Biggest Common Factor Method

Now, list down the factors of 3367

1,7,13,37,91,259,481,3367

Now, list down the factors of 3919

1,3919

Greatest Common Factor

We found the factors 3367,3919 . The biggest common factor number is the GCF number.
So the greatest common factor 3367,3919 is 1.

Lets's calculate LCM of 911,385

Lowest Common Multiple of 911,385 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 350735

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/350735

Therefore, the GCF of Fractions 3367/911,3919/385 is 1/350735

Least Common Multiple of 911,385 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 911,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(911,385) = 1

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

GCF(911,385) x common factors =1 x 1 = 1

LCM(911,385) = ( 911 × 385 ) / 1

LCM(911,385) = 350735 / 1

LCM(911,385) = 350735

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FAQs on GCF of Fractions of 3367/911, 3919/385

1. What is the HCF of 3367,3919?

The HCF of 3367,3919 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 3367/911, 3919/385?

Answer: GCF of Numerators as per given numbers 3367/911, 3919/385 is

GCF of Numerators i.e. for 3367,3919 is 1

LCM of denominators i.e. for 911,385 is 350735.

Thus, GCF of Fractions is 1/350735.Finally, GCF of Fractions for 3367/911, 3919/385 is 1/350735.