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GCF of 8061/981, 8841/8960

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 8061/981, 8841/8960 i.e 3/8789760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8061/981, 8841/8960.

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 8061/981,8841/8960?

Given fractions are 8061/981,8841/8960

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 8061/981,8841/8960, numerators are 8061,8841

Denominators are 981,8960

The GCF of 8061,8841 is 3 .

LCM of 981,8960 is 8789760.

The greatest common factor of 8061/981,8841/8960 = [GCF of 8061,8841]/[LCM of 981,8960]= 3/8789760

Therefore, the GCF of 8061/981,8841/8960 is 3/8789760.

Greatest Common Factor of 8061,8841

To find the highest common factor of 8061,8841, we have to find the factors of both numbers and list the highest common factor.

The factors of 8061 are 1, 3, 2687, 8061

The factors of 8841 are 1, 3, 7, 21, 421, 1263, 2947, 8841

The HCF of 8061,8841 is 3.

Lets's calculate GCF of 8061,8841

Greatest Common Factor (GCF) of 8061,8841 By Common Division

3 8061, 8841
2687, 2947

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8061,8841 By Matching Biggest Common Factor Method

Greatest Common Factor of 8061,8841 By Matching Biggest Common Factor Method

Now, list down the factors of 8061

:

1,3,2687,8061

Now, list down the factors of 8841

:

1,3,7,21,421,1263,2947,8841

Greatest Common Factor

We found the factors 8061,8841 . The biggest common factor number is the GCF number.
So the greatest common factor 8061,8841 is 3.


Lets's calculate LCM of 981,8960

Lowest Common Multiple of 981,8960 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8789760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8789760

Therefore, the GCF of Fractions 8061/981,8841/8960 is 3/8789760

Least Common Multiple of 981,8960 with GCF Formula

Least Common Multiple of 981,8960 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 981,8960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,8960) = 1

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

GCF(981,8960) x common factors =1 x 1 = 1

LCM(981,8960) = ( 981 × 8960 ) / 1

LCM(981,8960) = 8789760 / 1

LCM(981,8960) = 8789760


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 8061/981, 8841/8960

1. What is the HCF of 8061,8841?

The HCF of 8061,8841 is 3

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 8061/981, 8841/8960?

Answer: GCF of Numerators as per given numbers 8061/981, 8841/8960 is

GCF of Numerators i.e. for 8061,8841 is 3

LCM of denominators i.e. for 981,8960 is 8789760.

Thus, GCF of Fractions is 3/8789760.Finally, GCF of Fractions for 8061/981, 8841/8960 is 3/8789760.