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GCF of 8843/552, 1195/6903

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 8843/552, 1195/6903 i.e 239/1270152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8843/552, 1195/6903.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8843/552,1195/6903?

Given fractions are 8843/552,1195/6903

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 8843/552,1195/6903, numerators are 8843,1195

Denominators are 552,6903

The GCF of 8843,1195 is 239 .

LCM of 552,6903 is 1270152.

The greatest common factor of 8843/552,1195/6903 = [GCF of 8843,1195]/[LCM of 552,6903]= 239/1270152

Therefore, the GCF of 8843/552,1195/6903 is 239/1270152.

Greatest Common Factor of 8843,1195

To find the highest common factor of 8843,1195, we have to find the factors of both numbers and list the highest common factor.

The factors of 8843 are 1, 37, 239, 8843

The factors of 1195 are 1, 5, 239, 1195

The HCF of 8843,1195 is 239.

Lets's calculate GCF of 8843,1195

Greatest Common Factor (GCF) of 8843,1195 By Common Division

239 8843, 1195
37, 5

∴ So the GCF of the given numbers is 239 = 239

Greatest Common Factor of 8843,1195 By Matching Biggest Common Factor Method

Greatest Common Factor of 8843,1195 By Matching Biggest Common Factor Method

Now, list down the factors of 8843

:

1,37,239,8843

Now, list down the factors of 1195

:

1,5,239,1195

Greatest Common Factor

We found the factors 8843,1195 . The biggest common factor number is the GCF number.
So the greatest common factor 8843,1195 is 239.


Lets's calculate LCM of 552,6903

Lowest Common Multiple of 552,6903 using Common Division

3 552, 6903
184, 2301

∴ So the LCM of the given numbers is 3 x 184 x 2301 = 1270152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 239/1270152

Therefore, the GCF of Fractions 8843/552,1195/6903 is 239/1270152

Least Common Multiple of 552,6903 with GCF Formula

Least Common Multiple of 552,6903 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 552,6903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,6903) = 3

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

GCF(552,6903) x common factors =3 x 1 = 3

LCM(552,6903) = ( 552 × 6903 ) / 3

LCM(552,6903) = 3810456 / 3

LCM(552,6903) = 1270152


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 8843/552, 1195/6903

1. What is the HCF of 8843,1195?

The HCF of 8843,1195 is 239

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 8843/552, 1195/6903?

Answer: GCF of Numerators as per given numbers 8843/552, 1195/6903 is

GCF of Numerators i.e. for 8843,1195 is 239

LCM of denominators i.e. for 552,6903 is 1270152.

Thus, GCF of Fractions is 239/1270152.Finally, GCF of Fractions for 8843/552, 1195/6903 is 239/1270152.