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GCF of 235/285, 9756/2991

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 235/285, 9756/2991 i.e 1/284145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 235/285, 9756/2991.

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 235/285,9756/2991?

Given fractions are 235/285,9756/2991

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 235/285,9756/2991, numerators are 235,9756

Denominators are 285,2991

The GCF of 235,9756 is 1 .

LCM of 285,2991 is 284145.

The greatest common factor of 235/285,9756/2991 = [GCF of 235,9756]/[LCM of 285,2991]= 1/284145

Therefore, the GCF of 235/285,9756/2991 is 1/284145.

Greatest Common Factor of 235,9756

To find the highest common factor of 235,9756, we have to find the factors of both numbers and list the highest common factor.

The factors of 235 are 1, 5, 47, 235

The factors of 9756 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 271, 542, 813, 1084, 1626, 2439, 3252, 4878, 9756

The HCF of 235,9756 is 1.

Lets's calculate GCF of 235,9756

Greatest Common Factor (GCF) of 235,9756 By Common Division

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

Greatest Common Factor of 235,9756 By Matching Biggest Common Factor Method

Greatest Common Factor of 235,9756 By Matching Biggest Common Factor Method

Now, list down the factors of 235

:

1,5,47,235

Now, list down the factors of 9756

:

1,2,3,4,6,9,12,18,36,271,542,813,1084,1626,2439,3252,4878,9756

Greatest Common Factor

We found the factors 235,9756 . The biggest common factor number is the GCF number.
So the greatest common factor 235,9756 is 1.


Lets's calculate LCM of 285,2991

Lowest Common Multiple of 285,2991 using Common Division

3 285, 2991
95, 997

∴ So the LCM of the given numbers is 3 x 95 x 997 = 284145

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284145

Therefore, the GCF of Fractions 235/285,9756/2991 is 1/284145

Least Common Multiple of 285,2991 with GCF Formula

Least Common Multiple of 285,2991 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 285,2991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,2991) = 3

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

GCF(285,2991) x common factors =3 x 1 = 3

LCM(285,2991) = ( 285 × 2991 ) / 3

LCM(285,2991) = 852435 / 3

LCM(285,2991) = 284145


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 235/285, 9756/2991

1. What is the HCF of 235,9756?

The HCF of 235,9756 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 235/285, 9756/2991?

Answer: GCF of Numerators as per given numbers 235/285, 9756/2991 is

GCF of Numerators i.e. for 235,9756 is 1

LCM of denominators i.e. for 285,2991 is 284145.

Thus, GCF of Fractions is 1/284145.Finally, GCF of Fractions for 235/285, 9756/2991 is 1/284145.