How to Find GCF of 5744/917, 3544/465?

GCF of 5744/917, 3544/465

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 5744/917, 3544/465 i.e 8/426405 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5744/917, 3544/465.

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 5744/917,3544/465?

Given fractions are 5744/917,3544/465

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 5744/917,3544/465, numerators are 5744,3544

Denominators are 917,465

The GCF of 5744,3544 is 8 .

LCM of 917,465 is 426405.

The greatest common factor of 5744/917,3544/465 = [GCF of 5744,3544]/[LCM of 917,465]= 8/426405

Therefore, the GCF of 5744/917,3544/465 is 8/426405.

Greatest Common Factor of 5744,3544

To find the highest common factor of 5744,3544, we have to find the factors of both numbers and list the highest common factor.

The factors of 5744 are 1, 2, 4, 8, 16, 359, 718, 1436, 2872, 5744

The factors of 3544 are 1, 2, 4, 8, 443, 886, 1772, 3544

The HCF of 5744,3544 is 8.

Lets's calculate GCF of 5744,3544

Greatest Common Factor (GCF) of 5744,3544 By Common Division

2	5744, 3544
2	2872, 1772
2	1436, 886
	718, 443

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 5744,3544 By Matching Biggest Common Factor Method

Now, list down the factors of 5744

1,2,4,8,16,359,718,1436,2872,5744

Now, list down the factors of 3544

1,2,4,8,443,886,1772,3544

Greatest Common Factor

We found the factors 5744,3544 . The biggest common factor number is the GCF number.
So the greatest common factor 5744,3544 is 8.

Lets's calculate LCM of 917,465

Lowest Common Multiple of 917,465 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 426405

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/426405

Therefore, the GCF of Fractions 5744/917,3544/465 is 8/426405

Least Common Multiple of 917,465 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 917,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(917,465) = 1

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

GCF(917,465) x common factors =1 x 1 = 1

LCM(917,465) = ( 917 × 465 ) / 1

LCM(917,465) = 426405 / 1

LCM(917,465) = 426405

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FAQs on GCF of Fractions of 5744/917, 3544/465

1. What is the HCF of 5744,3544?

The HCF of 5744,3544 is 8

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 5744/917, 3544/465?

Answer: GCF of Numerators as per given numbers 5744/917, 3544/465 is

GCF of Numerators i.e. for 5744,3544 is 8

LCM of denominators i.e. for 917,465 is 426405.

Thus, GCF of Fractions is 8/426405.Finally, GCF of Fractions for 5744/917, 3544/465 is 8/426405.