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GCF of 5750/605, 8796/9595

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 5750/605, 8796/9595 i.e 2/1160995 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5750/605, 8796/9595.

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 5750/605,8796/9595?

Given fractions are 5750/605,8796/9595

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 5750/605,8796/9595, numerators are 5750,8796

Denominators are 605,9595

The GCF of 5750,8796 is 2 .

LCM of 605,9595 is 1160995.

The greatest common factor of 5750/605,8796/9595 = [GCF of 5750,8796]/[LCM of 605,9595]= 2/1160995

Therefore, the GCF of 5750/605,8796/9595 is 2/1160995.

Greatest Common Factor of 5750,8796

To find the highest common factor of 5750,8796, we have to find the factors of both numbers and list the highest common factor.

The factors of 5750 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 125, 230, 250, 575, 1150, 2875, 5750

The factors of 8796 are 1, 2, 3, 4, 6, 12, 733, 1466, 2199, 2932, 4398, 8796

The HCF of 5750,8796 is 2.

Lets's calculate GCF of 5750,8796

Greatest Common Factor (GCF) of 5750,8796 By Common Division

2 5750, 8796
2875, 4398

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

Greatest Common Factor of 5750,8796 By Matching Biggest Common Factor Method

Greatest Common Factor of 5750,8796 By Matching Biggest Common Factor Method

Now, list down the factors of 5750

:

1,2,5,10,23,25,46,50,115,125,230,250,575,1150,2875,5750

Now, list down the factors of 8796

:

1,2,3,4,6,12,733,1466,2199,2932,4398,8796

Greatest Common Factor

We found the factors 5750,8796 . The biggest common factor number is the GCF number.
So the greatest common factor 5750,8796 is 2.


Lets's calculate LCM of 605,9595

Lowest Common Multiple of 605,9595 using Common Division

5 605, 9595
121, 1919

∴ So the LCM of the given numbers is 5 x 121 x 1919 = 1160995

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1160995

Therefore, the GCF of Fractions 5750/605,8796/9595 is 2/1160995

Least Common Multiple of 605,9595 with GCF Formula

Least Common Multiple of 605,9595 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 605,9595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,9595) = 5

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

GCF(605,9595) x common factors =5 x 1 = 5

LCM(605,9595) = ( 605 × 9595 ) / 5

LCM(605,9595) = 5804975 / 5

LCM(605,9595) = 1160995


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5750/605, 8796/9595

1. What is the HCF of 5750,8796?

The HCF of 5750,8796 is 2

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 5750/605, 8796/9595?

Answer: GCF of Numerators as per given numbers 5750/605, 8796/9595 is

GCF of Numerators i.e. for 5750,8796 is 2

LCM of denominators i.e. for 605,9595 is 1160995.

Thus, GCF of Fractions is 2/1160995.Finally, GCF of Fractions for 5750/605, 8796/9595 is 2/1160995.