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GCF of 8899/279, 9203/3254

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 8899/279, 9203/3254 i.e 1/907866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8899/279, 9203/3254.

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 8899/279,9203/3254?

Given fractions are 8899/279,9203/3254

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 8899/279,9203/3254, numerators are 8899,9203

Denominators are 279,3254

The GCF of 8899,9203 is 1 .

LCM of 279,3254 is 907866.

The greatest common factor of 8899/279,9203/3254 = [GCF of 8899,9203]/[LCM of 279,3254]= 1/907866

Therefore, the GCF of 8899/279,9203/3254 is 1/907866.

Greatest Common Factor of 8899,9203

To find the highest common factor of 8899,9203, we have to find the factors of both numbers and list the highest common factor.

The factors of 8899 are 1, 11, 809, 8899

The factors of 9203 are 1, 9203

The HCF of 8899,9203 is 1.

Lets's calculate GCF of 8899,9203

Greatest Common Factor (GCF) of 8899,9203 By Common Division

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

Greatest Common Factor of 8899,9203 By Matching Biggest Common Factor Method

Greatest Common Factor of 8899,9203 By Matching Biggest Common Factor Method

Now, list down the factors of 8899

:

1,11,809,8899

Now, list down the factors of 9203

:

1,9203

Greatest Common Factor

We found the factors 8899,9203 . The biggest common factor number is the GCF number.
So the greatest common factor 8899,9203 is 1.

Lets's calculate LCM of 279,3254

Lowest Common Multiple of 279,3254 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 907866

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/907866

Therefore, the GCF of Fractions 8899/279,9203/3254 is 1/907866

Least Common Multiple of 279,3254 with GCF Formula

Least Common Multiple of 279,3254 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 279,3254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,3254) = 1

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

GCF(279,3254) x common factors =1 x 1 = 1

LCM(279,3254) = ( 279 × 3254 ) / 1

LCM(279,3254) = 907866 / 1

LCM(279,3254) = 907866


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FAQs on GCF of Fractions of 8899/279, 9203/3254

1. What is the HCF of 8899,9203?

The HCF of 8899,9203 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 8899/279, 9203/3254?

Answer: GCF of Numerators as per given numbers 8899/279, 9203/3254 is

GCF of Numerators i.e. for 8899,9203 is 1

LCM of denominators i.e. for 279,3254 is 907866.

Thus, GCF of Fractions is 1/907866.Finally, GCF of Fractions for 8899/279, 9203/3254 is 1/907866.