How to Find GCF of 487/938, 1904/353?

GCF of 487/938, 1904/353

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 487/938, 1904/353 i.e 1/331114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 487/938, 1904/353.

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 487/938,1904/353?

Given fractions are 487/938,1904/353

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 487/938,1904/353, numerators are 487,1904

Denominators are 938,353

The GCF of 487,1904 is 1 .

LCM of 938,353 is 331114.

The greatest common factor of 487/938,1904/353 = [GCF of 487,1904]/[LCM of 938,353]= 1/331114

Therefore, the GCF of 487/938,1904/353 is 1/331114.

Greatest Common Factor of 487,1904

To find the highest common factor of 487,1904, we have to find the factors of both numbers and list the highest common factor.

The factors of 487 are 1, 487

The factors of 1904 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 56, 68, 112, 119, 136, 238, 272, 476, 952, 1904

The HCF of 487,1904 is 1.

Lets's calculate GCF of 487,1904

Greatest Common Factor (GCF) of 487,1904 By Common Division

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

Greatest Common Factor of 487,1904 By Matching Biggest Common Factor Method

Now, list down the factors of 487

1,487

Now, list down the factors of 1904

1,2,4,7,8,14,16,17,28,34,56,68,112,119,136,238,272,476,952,1904

Greatest Common Factor

We found the factors 487,1904 . The biggest common factor number is the GCF number.
So the greatest common factor 487,1904 is 1.

Lets's calculate LCM of 938,353

Lowest Common Multiple of 938,353 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 331114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/331114

Therefore, the GCF of Fractions 487/938,1904/353 is 1/331114

Least Common Multiple of 938,353 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 938,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,353) = 1

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

GCF(938,353) x common factors =1 x 1 = 1

LCM(938,353) = ( 938 × 353 ) / 1

LCM(938,353) = 331114 / 1

LCM(938,353) = 331114

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FAQs on GCF of Fractions of 487/938, 1904/353

1. What is the HCF of 487,1904?

The HCF of 487,1904 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 487/938, 1904/353?

Answer: GCF of Numerators as per given numbers 487/938, 1904/353 is

GCF of Numerators i.e. for 487,1904 is 1

LCM of denominators i.e. for 938,353 is 331114.

Thus, GCF of Fractions is 1/331114.Finally, GCF of Fractions for 487/938, 1904/353 is 1/331114.