How to Find GCF of 3904/601, 5511/208?

GCF of 3904/601, 5511/208

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 3904/601, 5511/208 i.e 1/125008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3904/601, 5511/208.

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 3904/601,5511/208?

Given fractions are 3904/601,5511/208

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 3904/601,5511/208, numerators are 3904,5511

Denominators are 601,208

The GCF of 3904,5511 is 1 .

LCM of 601,208 is 125008.

The greatest common factor of 3904/601,5511/208 = [GCF of 3904,5511]/[LCM of 601,208]= 1/125008

Therefore, the GCF of 3904/601,5511/208 is 1/125008.

Greatest Common Factor of 3904,5511

To find the highest common factor of 3904,5511, we have to find the factors of both numbers and list the highest common factor.

The factors of 3904 are 1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952, 3904

The factors of 5511 are 1, 3, 11, 33, 167, 501, 1837, 5511

The HCF of 3904,5511 is 1.

Lets's calculate GCF of 3904,5511

Greatest Common Factor (GCF) of 3904,5511 By Common Division

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

Greatest Common Factor of 3904,5511 By Matching Biggest Common Factor Method

Now, list down the factors of 3904

1,2,4,8,16,32,61,64,122,244,488,976,1952,3904

Now, list down the factors of 5511

1,3,11,33,167,501,1837,5511

Greatest Common Factor

We found the factors 3904,5511 . The biggest common factor number is the GCF number.
So the greatest common factor 3904,5511 is 1.

Lets's calculate LCM of 601,208

Lowest Common Multiple of 601,208 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 125008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125008

Therefore, the GCF of Fractions 3904/601,5511/208 is 1/125008

Least Common Multiple of 601,208 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 601,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,208) = 1

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

GCF(601,208) x common factors =1 x 1 = 1

LCM(601,208) = ( 601 × 208 ) / 1

LCM(601,208) = 125008 / 1

LCM(601,208) = 125008

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FAQs on GCF of Fractions of 3904/601, 5511/208

1. What is the HCF of 3904,5511?

The HCF of 3904,5511 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 3904/601, 5511/208?

Answer: GCF of Numerators as per given numbers 3904/601, 5511/208 is

GCF of Numerators i.e. for 3904,5511 is 1

LCM of denominators i.e. for 601,208 is 125008.

Thus, GCF of Fractions is 1/125008.Finally, GCF of Fractions for 3904/601, 5511/208 is 1/125008.