How to Find GCF of 9801/289, 8833/2836?

GCF of 9801/289, 8833/2836

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 9801/289, 8833/2836 i.e 121/819604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9801/289, 8833/2836.

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 9801/289,8833/2836?

Given fractions are 9801/289,8833/2836

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 9801/289,8833/2836, numerators are 9801,8833

Denominators are 289,2836

The GCF of 9801,8833 is 121 .

LCM of 289,2836 is 819604.

The greatest common factor of 9801/289,8833/2836 = [GCF of 9801,8833]/[LCM of 289,2836]= 121/819604

Therefore, the GCF of 9801/289,8833/2836 is 121/819604.

Greatest Common Factor of 9801,8833

To find the highest common factor of 9801,8833, we have to find the factors of both numbers and list the highest common factor.

The factors of 9801 are 1, 3, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267, 9801

The factors of 8833 are 1, 11, 73, 121, 803, 8833

The HCF of 9801,8833 is 121.

Lets's calculate GCF of 9801,8833

Greatest Common Factor (GCF) of 9801,8833 By Common Division

11	9801, 8833
11	891, 803
	81, 73

∴ So the GCF of the given numbers is 11 x 11 = 121

Greatest Common Factor of 9801,8833 By Matching Biggest Common Factor Method

Now, list down the factors of 9801

1,3,9,11,27,33,81,99,121,297,363,891,1089,3267,9801

Now, list down the factors of 8833

1,11,73,121,803,8833

Greatest Common Factor

We found the factors 9801,8833 . The biggest common factor number is the GCF number.
So the greatest common factor 9801,8833 is 121.

Lets's calculate LCM of 289,2836

Lowest Common Multiple of 289,2836 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 819604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 121/819604

Therefore, the GCF of Fractions 9801/289,8833/2836 is 121/819604

Least Common Multiple of 289,2836 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 289,2836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,2836) = 1

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

GCF(289,2836) x common factors =1 x 1 = 1

LCM(289,2836) = ( 289 × 2836 ) / 1

LCM(289,2836) = 819604 / 1

LCM(289,2836) = 819604

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FAQs on GCF of Fractions of 9801/289, 8833/2836

1. What is the HCF of 9801,8833?

The HCF of 9801,8833 is 121

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 9801/289, 8833/2836?

Answer: GCF of Numerators as per given numbers 9801/289, 8833/2836 is

GCF of Numerators i.e. for 9801,8833 is 121

LCM of denominators i.e. for 289,2836 is 819604.

Thus, GCF of Fractions is 121/819604.Finally, GCF of Fractions for 9801/289, 8833/2836 is 121/819604.