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GCF of 9041/280, 3110/866

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 9041/280, 3110/866 i.e 1/121240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9041/280, 3110/866.

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 9041/280,3110/866?

Given fractions are 9041/280,3110/866

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 9041/280,3110/866, numerators are 9041,3110

Denominators are 280,866

The GCF of 9041,3110 is 1 .

LCM of 280,866 is 121240.

The greatest common factor of 9041/280,3110/866 = [GCF of 9041,3110]/[LCM of 280,866]= 1/121240

Therefore, the GCF of 9041/280,3110/866 is 1/121240.

Greatest Common Factor of 9041,3110

To find the highest common factor of 9041,3110, we have to find the factors of both numbers and list the highest common factor.

The factors of 9041 are 1, 9041

The factors of 3110 are 1, 2, 5, 10, 311, 622, 1555, 3110

The HCF of 9041,3110 is 1.

Lets's calculate GCF of 9041,3110

Greatest Common Factor (GCF) of 9041,3110 By Common Division

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

Greatest Common Factor of 9041,3110 By Matching Biggest Common Factor Method

Greatest Common Factor of 9041,3110 By Matching Biggest Common Factor Method

Now, list down the factors of 9041

:

1,9041

Now, list down the factors of 3110

:

1,2,5,10,311,622,1555,3110

Greatest Common Factor

We found the factors 9041,3110 . The biggest common factor number is the GCF number.
So the greatest common factor 9041,3110 is 1.

Lets's calculate LCM of 280,866

Lowest Common Multiple of 280,866 using Common Division

2 280, 866
140, 433

∴ So the LCM of the given numbers is 2 x 140 x 433 = 121240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121240

Therefore, the GCF of Fractions 9041/280,3110/866 is 1/121240

Least Common Multiple of 280,866 with GCF Formula

Least Common Multiple of 280,866 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 280,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,866) = 2

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

GCF(280,866) x common factors =2 x 1 = 2

LCM(280,866) = ( 280 × 866 ) / 2

LCM(280,866) = 242480 / 2

LCM(280,866) = 121240


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FAQs on GCF of Fractions of 9041/280, 3110/866

1. What is the HCF of 9041,3110?

The HCF of 9041,3110 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 9041/280, 3110/866?

Answer: GCF of Numerators as per given numbers 9041/280, 3110/866 is

GCF of Numerators i.e. for 9041,3110 is 1

LCM of denominators i.e. for 280,866 is 121240.

Thus, GCF of Fractions is 1/121240.Finally, GCF of Fractions for 9041/280, 3110/866 is 1/121240.