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GCF of 9905/152, 4904/2863

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 9905/152, 4904/2863 i.e 1/435176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9905/152, 4904/2863.

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 9905/152,4904/2863?

Given fractions are 9905/152,4904/2863

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 9905/152,4904/2863, numerators are 9905,4904

Denominators are 152,2863

The GCF of 9905,4904 is 1 .

LCM of 152,2863 is 435176.

The greatest common factor of 9905/152,4904/2863 = [GCF of 9905,4904]/[LCM of 152,2863]= 1/435176

Therefore, the GCF of 9905/152,4904/2863 is 1/435176.

Greatest Common Factor of 9905,4904

To find the highest common factor of 9905,4904, we have to find the factors of both numbers and list the highest common factor.

The factors of 9905 are 1, 5, 7, 35, 283, 1415, 1981, 9905

The factors of 4904 are 1, 2, 4, 8, 613, 1226, 2452, 4904

The HCF of 9905,4904 is 1.

Lets's calculate GCF of 9905,4904

Greatest Common Factor (GCF) of 9905,4904 By Common Division

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

Greatest Common Factor of 9905,4904 By Matching Biggest Common Factor Method

Greatest Common Factor of 9905,4904 By Matching Biggest Common Factor Method

Now, list down the factors of 9905

:

1,5,7,35,283,1415,1981,9905

Now, list down the factors of 4904

:

1,2,4,8,613,1226,2452,4904

Greatest Common Factor

We found the factors 9905,4904 . The biggest common factor number is the GCF number.
So the greatest common factor 9905,4904 is 1.


Lets's calculate LCM of 152,2863

Lowest Common Multiple of 152,2863 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 435176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/435176

Therefore, the GCF of Fractions 9905/152,4904/2863 is 1/435176

Least Common Multiple of 152,2863 with GCF Formula

Least Common Multiple of 152,2863 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 152,2863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,2863) = 1

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

GCF(152,2863) x common factors =1 x 1 = 1

LCM(152,2863) = ( 152 × 2863 ) / 1

LCM(152,2863) = 435176 / 1

LCM(152,2863) = 435176


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9905/152, 4904/2863

1. What is the HCF of 9905,4904?

The HCF of 9905,4904 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 9905/152, 4904/2863?

Answer: GCF of Numerators as per given numbers 9905/152, 4904/2863 is

GCF of Numerators i.e. for 9905,4904 is 1

LCM of denominators i.e. for 152,2863 is 435176.

Thus, GCF of Fractions is 1/435176.Finally, GCF of Fractions for 9905/152, 4904/2863 is 1/435176.