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GCF of 9236/891, 4696/4596

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 9236/891, 4696/4596 i.e 4/1365012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9236/891, 4696/4596.

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 9236/891,4696/4596?

Given fractions are 9236/891,4696/4596

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 9236/891,4696/4596, numerators are 9236,4696

Denominators are 891,4596

The GCF of 9236,4696 is 4 .

LCM of 891,4596 is 1365012.

The greatest common factor of 9236/891,4696/4596 = [GCF of 9236,4696]/[LCM of 891,4596]= 4/1365012

Therefore, the GCF of 9236/891,4696/4596 is 4/1365012.

Greatest Common Factor of 9236,4696

To find the highest common factor of 9236,4696, we have to find the factors of both numbers and list the highest common factor.

The factors of 9236 are 1, 2, 4, 2309, 4618, 9236

The factors of 4696 are 1, 2, 4, 8, 587, 1174, 2348, 4696

The HCF of 9236,4696 is 4.

Lets's calculate GCF of 9236,4696

Greatest Common Factor (GCF) of 9236,4696 By Common Division

2 9236, 4696
2 4618, 2348
2309, 1174

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9236,4696 By Matching Biggest Common Factor Method

Greatest Common Factor of 9236,4696 By Matching Biggest Common Factor Method

Now, list down the factors of 9236

:

1,2,4,2309,4618,9236

Now, list down the factors of 4696

:

1,2,4,8,587,1174,2348,4696

Greatest Common Factor

We found the factors 9236,4696 . The biggest common factor number is the GCF number.
So the greatest common factor 9236,4696 is 4.


Lets's calculate LCM of 891,4596

Lowest Common Multiple of 891,4596 using Common Division

3 891, 4596
297, 1532

∴ So the LCM of the given numbers is 3 x 297 x 1532 = 1365012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1365012

Therefore, the GCF of Fractions 9236/891,4696/4596 is 4/1365012

Least Common Multiple of 891,4596 with GCF Formula

Least Common Multiple of 891,4596 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 891,4596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(891,4596) = 3

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

GCF(891,4596) x common factors =3 x 1 = 3

LCM(891,4596) = ( 891 × 4596 ) / 3

LCM(891,4596) = 4095036 / 3

LCM(891,4596) = 1365012


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9236/891, 4696/4596

1. What is the HCF of 9236,4696?

The HCF of 9236,4696 is 4

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 9236/891, 4696/4596?

Answer: GCF of Numerators as per given numbers 9236/891, 4696/4596 is

GCF of Numerators i.e. for 9236,4696 is 4

LCM of denominators i.e. for 891,4596 is 1365012.

Thus, GCF of Fractions is 4/1365012.Finally, GCF of Fractions for 9236/891, 4696/4596 is 4/1365012.