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GCF of 5831/706, 2296/9409

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 5831/706, 2296/9409 i.e 7/6642754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5831/706, 2296/9409.

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 5831/706,2296/9409?

Given fractions are 5831/706,2296/9409

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 5831/706,2296/9409, numerators are 5831,2296

Denominators are 706,9409

The GCF of 5831,2296 is 7 .

LCM of 706,9409 is 6642754.

The greatest common factor of 5831/706,2296/9409 = [GCF of 5831,2296]/[LCM of 706,9409]= 7/6642754

Therefore, the GCF of 5831/706,2296/9409 is 7/6642754.

Greatest Common Factor of 5831,2296

To find the highest common factor of 5831,2296, we have to find the factors of both numbers and list the highest common factor.

The factors of 5831 are 1, 7, 17, 49, 119, 343, 833, 5831

The factors of 2296 are 1, 2, 4, 7, 8, 14, 28, 41, 56, 82, 164, 287, 328, 574, 1148, 2296

The HCF of 5831,2296 is 7.

Lets's calculate GCF of 5831,2296

Greatest Common Factor (GCF) of 5831,2296 By Common Division

7 5831, 2296
833, 328

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 5831,2296 By Matching Biggest Common Factor Method

Greatest Common Factor of 5831,2296 By Matching Biggest Common Factor Method

Now, list down the factors of 5831

:

1,7,17,49,119,343,833,5831

Now, list down the factors of 2296

:

1,2,4,7,8,14,28,41,56,82,164,287,328,574,1148,2296

Greatest Common Factor

We found the factors 5831,2296 . The biggest common factor number is the GCF number.
So the greatest common factor 5831,2296 is 7.


Lets's calculate LCM of 706,9409

Lowest Common Multiple of 706,9409 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6642754

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/6642754

Therefore, the GCF of Fractions 5831/706,2296/9409 is 7/6642754

Least Common Multiple of 706,9409 with GCF Formula

Least Common Multiple of 706,9409 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 706,9409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,9409) = 1

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

GCF(706,9409) x common factors =1 x 1 = 1

LCM(706,9409) = ( 706 × 9409 ) / 1

LCM(706,9409) = 6642754 / 1

LCM(706,9409) = 6642754


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5831/706, 2296/9409

1. What is the HCF of 5831,2296?

The HCF of 5831,2296 is 7

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 5831/706, 2296/9409?

Answer: GCF of Numerators as per given numbers 5831/706, 2296/9409 is

GCF of Numerators i.e. for 5831,2296 is 7

LCM of denominators i.e. for 706,9409 is 6642754.

Thus, GCF of Fractions is 7/6642754.Finally, GCF of Fractions for 5831/706, 2296/9409 is 7/6642754.