How to Find GCF of 5909/411, 8265/1150?

GCF of 5909/411, 8265/1150

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 5909/411, 8265/1150 i.e 19/472650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5909/411, 8265/1150.

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 5909/411,8265/1150?

Given fractions are 5909/411,8265/1150

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 5909/411,8265/1150, numerators are 5909,8265

Denominators are 411,1150

The GCF of 5909,8265 is 19 .

LCM of 411,1150 is 472650.

The greatest common factor of 5909/411,8265/1150 = [GCF of 5909,8265]/[LCM of 411,1150]= 19/472650

Therefore, the GCF of 5909/411,8265/1150 is 19/472650.

Greatest Common Factor of 5909,8265

To find the highest common factor of 5909,8265, we have to find the factors of both numbers and list the highest common factor.

The factors of 5909 are 1, 19, 311, 5909

The factors of 8265 are 1, 3, 5, 15, 19, 29, 57, 87, 95, 145, 285, 435, 551, 1653, 2755, 8265

The HCF of 5909,8265 is 19.

Lets's calculate GCF of 5909,8265

Greatest Common Factor (GCF) of 5909,8265 By Common Division

19	5909, 8265
	311, 435

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 5909,8265 By Matching Biggest Common Factor Method

Now, list down the factors of 5909

1,19,311,5909

Now, list down the factors of 8265

1,3,5,15,19,29,57,87,95,145,285,435,551,1653,2755,8265

Greatest Common Factor

We found the factors 5909,8265 . The biggest common factor number is the GCF number.
So the greatest common factor 5909,8265 is 19.

Lets's calculate LCM of 411,1150

Lowest Common Multiple of 411,1150 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 472650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/472650

Therefore, the GCF of Fractions 5909/411,8265/1150 is 19/472650

Least Common Multiple of 411,1150 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 411,1150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(411,1150) = 1

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

GCF(411,1150) x common factors =1 x 1 = 1

LCM(411,1150) = ( 411 × 1150 ) / 1

LCM(411,1150) = 472650 / 1

LCM(411,1150) = 472650

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FAQs on GCF of Fractions of 5909/411, 8265/1150

1. What is the HCF of 5909,8265?

The HCF of 5909,8265 is 19

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 5909/411, 8265/1150?

Answer: GCF of Numerators as per given numbers 5909/411, 8265/1150 is

GCF of Numerators i.e. for 5909,8265 is 19

LCM of denominators i.e. for 411,1150 is 472650.

Thus, GCF of Fractions is 19/472650.Finally, GCF of Fractions for 5909/411, 8265/1150 is 19/472650.