How to Find GCF of 8704/140, 3903/1349?

GCF of 8704/140, 3903/1349

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 8704/140, 3903/1349 i.e 1/188860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8704/140, 3903/1349.

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 8704/140,3903/1349?

Given fractions are 8704/140,3903/1349

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 8704/140,3903/1349, numerators are 8704,3903

Denominators are 140,1349

The GCF of 8704,3903 is 1 .

LCM of 140,1349 is 188860.

The greatest common factor of 8704/140,3903/1349 = [GCF of 8704,3903]/[LCM of 140,1349]= 1/188860

Therefore, the GCF of 8704/140,3903/1349 is 1/188860.

Greatest Common Factor of 8704,3903

To find the highest common factor of 8704,3903, we have to find the factors of both numbers and list the highest common factor.

The factors of 8704 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1088, 2176, 4352, 8704

The factors of 3903 are 1, 3, 1301, 3903

The HCF of 8704,3903 is 1.

Lets's calculate GCF of 8704,3903

Greatest Common Factor (GCF) of 8704,3903 By Common Division

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

Greatest Common Factor of 8704,3903 By Matching Biggest Common Factor Method

Now, list down the factors of 8704

1,2,4,8,16,17,32,34,64,68,128,136,256,272,512,544,1088,2176,4352,8704

Now, list down the factors of 3903

1,3,1301,3903

Greatest Common Factor

We found the factors 8704,3903 . The biggest common factor number is the GCF number.
So the greatest common factor 8704,3903 is 1.

Lets's calculate LCM of 140,1349

Lowest Common Multiple of 140,1349 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 188860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188860

Therefore, the GCF of Fractions 8704/140,3903/1349 is 1/188860

Least Common Multiple of 140,1349 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 140,1349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,1349) = 1

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

GCF(140,1349) x common factors =1 x 1 = 1

LCM(140,1349) = ( 140 × 1349 ) / 1

LCM(140,1349) = 188860 / 1

LCM(140,1349) = 188860

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FAQs on GCF of Fractions of 8704/140, 3903/1349

1. What is the HCF of 8704,3903?

The HCF of 8704,3903 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 8704/140, 3903/1349?

Answer: GCF of Numerators as per given numbers 8704/140, 3903/1349 is

GCF of Numerators i.e. for 8704,3903 is 1

LCM of denominators i.e. for 140,1349 is 188860.

Thus, GCF of Fractions is 1/188860.Finally, GCF of Fractions for 8704/140, 3903/1349 is 1/188860.