How to Find GCF of 54/904, 49/833, 339/821?

GCF of 54/904, 49/833, 339/821

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 54/904, 49/833, 339/821 i.e 1/618239272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/904, 49/833, 339/821.

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 54/904,49/833,339/821?

Given fractions are 54/904,49/833,339/821

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 54/904,49/833,339/821, numerators are 54,49,339

Denominators are 904,833,821

The GCF of 54,49,339 is 1 .

LCM of 904,833,821 is 618239272.

The greatest common factor of 54/904,49/833,339/821 = [GCF of 54,49,339]/[LCM of 904,833,821]= 1/618239272

Therefore, the GCF of 54/904,49/833,339/821 is 1/618239272.

Greatest Common Factor of 54,49,339

To find the highest common factor of 54,49,339, we have to find the factors of both numbers and list the highest common factor.

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54

The factors of 49 are 1, 7, 49

The factors of 339 are 1, 3, 113, 339

The HCF of 54,49,339 is 1.

Lets's calculate GCF of 54,49,339

Greatest Common Factor (GCF) of 54,49,339 By Common Division

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

Greatest Common Factor of 54,49,339 By Matching Biggest Common Factor Method

Now, list down the factors of 54

1,2,3,6,9,18,27,54

Now, list down the factors of 49

1,7,49

Now, list down the factors of 339

1,3,113,339

Greatest Common Factor

We found the factors 54,49,339 . The biggest common factor number is the GCF number.
So the greatest common factor 54,49,339 is 1.

Lets's calculate LCM of 904,833,821

Lowest Common Multiple of 904,833,821 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 618239272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/618239272

Therefore, the GCF of Fractions 54/904,49/833,339/821 is 1/618239272

Least Common Multiple of 904,833,821 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 904,833,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,833,821) = 1

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

GCF(904,833,821) x common factors =1 x 1 = 1

LCM(904,833,821) = ( 904 × 833 × 821 ) / 1

LCM(904,833,821) = 618239272 / 1

LCM(904,833,821) = 618239272

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 54/904, 49/833, 339/821

1. What is the HCF of 54,49,339?

The HCF of 54,49,339 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 54/904, 49/833, 339/821?

Answer: GCF of Numerators as per given numbers 54/904, 49/833, 339/821 is

GCF of Numerators i.e. for 54,49,339 is 1

LCM of denominators i.e. for 904,833,821 is 618239272.

Thus, GCF of Fractions is 1/618239272.Finally, GCF of Fractions for 54/904, 49/833, 339/821 is 1/618239272.