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GCF of 656/296, 5991/382

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 656/296, 5991/382 i.e 1/56536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 656/296, 5991/382.

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 656/296,5991/382?

Given fractions are 656/296,5991/382

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 656/296,5991/382, numerators are 656,5991

Denominators are 296,382

The GCF of 656,5991 is 1 .

LCM of 296,382 is 56536.

The greatest common factor of 656/296,5991/382 = [GCF of 656,5991]/[LCM of 296,382]= 1/56536

Therefore, the GCF of 656/296,5991/382 is 1/56536.

Greatest Common Factor of 656,5991

To find the highest common factor of 656,5991, we have to find the factors of both numbers and list the highest common factor.

The factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

The factors of 5991 are 1, 3, 1997, 5991

The HCF of 656,5991 is 1.

Lets's calculate GCF of 656,5991

Greatest Common Factor (GCF) of 656,5991 By Common Division

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

Greatest Common Factor of 656,5991 By Matching Biggest Common Factor Method

Greatest Common Factor of 656,5991 By Matching Biggest Common Factor Method

Now, list down the factors of 656

:

1,2,4,8,16,41,82,164,328,656

Now, list down the factors of 5991

:

1,3,1997,5991

Greatest Common Factor

We found the factors 656,5991 . The biggest common factor number is the GCF number.
So the greatest common factor 656,5991 is 1.


Lets's calculate LCM of 296,382

Lowest Common Multiple of 296,382 using Common Division

2 296, 382
148, 191

∴ So the LCM of the given numbers is 2 x 148 x 191 = 56536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56536

Therefore, the GCF of Fractions 656/296,5991/382 is 1/56536

Least Common Multiple of 296,382 with GCF Formula

Least Common Multiple of 296,382 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 296,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,382) = 2

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

GCF(296,382) x common factors =2 x 1 = 2

LCM(296,382) = ( 296 × 382 ) / 2

LCM(296,382) = 113072 / 2

LCM(296,382) = 56536


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 656/296, 5991/382

1. What is the HCF of 656,5991?

The HCF of 656,5991 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 656/296, 5991/382?

Answer: GCF of Numerators as per given numbers 656/296, 5991/382 is

GCF of Numerators i.e. for 656,5991 is 1

LCM of denominators i.e. for 296,382 is 56536.

Thus, GCF of Fractions is 1/56536.Finally, GCF of Fractions for 656/296, 5991/382 is 1/56536.