How to Find GCF of 720/173, 5444/581?

GCF of 720/173, 5444/581

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 720/173, 5444/581 i.e 4/100513 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/173, 5444/581.

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 720/173,5444/581?

Given fractions are 720/173,5444/581

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 720/173,5444/581, numerators are 720,5444

Denominators are 173,581

The GCF of 720,5444 is 4 .

LCM of 173,581 is 100513.

The greatest common factor of 720/173,5444/581 = [GCF of 720,5444]/[LCM of 173,581]= 4/100513

Therefore, the GCF of 720/173,5444/581 is 4/100513.

Greatest Common Factor of 720,5444

To find the highest common factor of 720,5444, we have to find the factors of both numbers and list the highest common factor.

The factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

The factors of 5444 are 1, 2, 4, 1361, 2722, 5444

The HCF of 720,5444 is 4.

Lets's calculate GCF of 720,5444

Greatest Common Factor (GCF) of 720,5444 By Common Division

2	720, 5444
2	360, 2722
	180, 1361

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

Greatest Common Factor of 720,5444 By Matching Biggest Common Factor Method

Now, list down the factors of 720

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Now, list down the factors of 5444

1,2,4,1361,2722,5444

Greatest Common Factor

We found the factors 720,5444 . The biggest common factor number is the GCF number.
So the greatest common factor 720,5444 is 4.

Lets's calculate LCM of 173,581

Lowest Common Multiple of 173,581 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 100513

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/100513

Therefore, the GCF of Fractions 720/173,5444/581 is 4/100513

Least Common Multiple of 173,581 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 173,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(173,581) = 1

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

GCF(173,581) x common factors =1 x 1 = 1

LCM(173,581) = ( 173 × 581 ) / 1

LCM(173,581) = 100513 / 1

LCM(173,581) = 100513

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 720/173, 5444/581

1. What is the HCF of 720,5444?

The HCF of 720,5444 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 720/173, 5444/581?

Answer: GCF of Numerators as per given numbers 720/173, 5444/581 is

GCF of Numerators i.e. for 720,5444 is 4

LCM of denominators i.e. for 173,581 is 100513.

Thus, GCF of Fractions is 4/100513.Finally, GCF of Fractions for 720/173, 5444/581 is 4/100513.