How to Find GCF of 8885/436, 1305/9578?

GCF of 8885/436, 1305/9578

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 8885/436, 1305/9578 i.e 5/2088004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8885/436, 1305/9578.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 8885/436,1305/9578?

Given fractions are 8885/436,1305/9578

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 8885/436,1305/9578, numerators are 8885,1305

Denominators are 436,9578

The GCF of 8885,1305 is 5 .

LCM of 436,9578 is 2088004.

The greatest common factor of 8885/436,1305/9578 = [GCF of 8885,1305]/[LCM of 436,9578]= 5/2088004

Therefore, the GCF of 8885/436,1305/9578 is 5/2088004.

Greatest Common Factor of 8885,1305

To find the highest common factor of 8885,1305, we have to find the factors of both numbers and list the highest common factor.

The factors of 8885 are 1, 5, 1777, 8885

The factors of 1305 are 1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435, 1305

The HCF of 8885,1305 is 5.

Lets's calculate GCF of 8885,1305

Greatest Common Factor (GCF) of 8885,1305 By Common Division

5	8885, 1305
	1777, 261

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8885,1305 By Matching Biggest Common Factor Method

Now, list down the factors of 8885

1,5,1777,8885

Now, list down the factors of 1305

1,3,5,9,15,29,45,87,145,261,435,1305

Greatest Common Factor

We found the factors 8885,1305 . The biggest common factor number is the GCF number.
So the greatest common factor 8885,1305 is 5.

Lets's calculate LCM of 436,9578

Lowest Common Multiple of 436,9578 using Common Division

2	436, 9578
	218, 4789

∴ So the LCM of the given numbers is 2 x 218 x 4789 = 2088004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2088004

Therefore, the GCF of Fractions 8885/436,1305/9578 is 5/2088004

Least Common Multiple of 436,9578 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 436,9578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,9578) = 2

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

GCF(436,9578) x common factors =2 x 1 = 2

LCM(436,9578) = ( 436 × 9578 ) / 2

LCM(436,9578) = 4176008 / 2

LCM(436,9578) = 2088004

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FAQs on GCF of Fractions of 8885/436, 1305/9578

1. What is the HCF of 8885,1305?

The HCF of 8885,1305 is 5

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 8885/436, 1305/9578?

Answer: GCF of Numerators as per given numbers 8885/436, 1305/9578 is

GCF of Numerators i.e. for 8885,1305 is 5

LCM of denominators i.e. for 436,9578 is 2088004.

Thus, GCF of Fractions is 5/2088004.Finally, GCF of Fractions for 8885/436, 1305/9578 is 5/2088004.