How to Find GCF of 3060/173, 4484/5510?

GCF of 3060/173, 4484/5510

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 3060/173, 4484/5510 i.e 4/953230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3060/173, 4484/5510.

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 3060/173,4484/5510?

Given fractions are 3060/173,4484/5510

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 3060/173,4484/5510, numerators are 3060,4484

Denominators are 173,5510

The GCF of 3060,4484 is 4 .

LCM of 173,5510 is 953230.

The greatest common factor of 3060/173,4484/5510 = [GCF of 3060,4484]/[LCM of 173,5510]= 4/953230

Therefore, the GCF of 3060/173,4484/5510 is 4/953230.

Greatest Common Factor of 3060,4484

To find the highest common factor of 3060,4484, we have to find the factors of both numbers and list the highest common factor.

The factors of 3060 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530, 3060

The factors of 4484 are 1, 2, 4, 19, 38, 59, 76, 118, 236, 1121, 2242, 4484

The HCF of 3060,4484 is 4.

Lets's calculate GCF of 3060,4484

Greatest Common Factor (GCF) of 3060,4484 By Common Division

2	3060, 4484
2	1530, 2242
	765, 1121

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

Greatest Common Factor of 3060,4484 By Matching Biggest Common Factor Method

Now, list down the factors of 3060

1,2,3,4,5,6,9,10,12,15,17,18,20,30,34,36,45,51,60,68,85,90,102,153,170,180,204,255,306,340,510,612,765,1020,1530,3060

Now, list down the factors of 4484

1,2,4,19,38,59,76,118,236,1121,2242,4484

Greatest Common Factor

We found the factors 3060,4484 . The biggest common factor number is the GCF number.
So the greatest common factor 3060,4484 is 4.

Lets's calculate LCM of 173,5510

Lowest Common Multiple of 173,5510 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 953230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/953230

Therefore, the GCF of Fractions 3060/173,4484/5510 is 4/953230

Least Common Multiple of 173,5510 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 173,5510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(173,5510) = 1

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

GCF(173,5510) x common factors =1 x 1 = 1

LCM(173,5510) = ( 173 × 5510 ) / 1

LCM(173,5510) = 953230 / 1

LCM(173,5510) = 953230

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3060/173, 4484/5510

1. What is the HCF of 3060,4484?

The HCF of 3060,4484 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 3060/173, 4484/5510?

Answer: GCF of Numerators as per given numbers 3060/173, 4484/5510 is

GCF of Numerators i.e. for 3060,4484 is 4

LCM of denominators i.e. for 173,5510 is 953230.

Thus, GCF of Fractions is 4/953230.Finally, GCF of Fractions for 3060/173, 4484/5510 is 4/953230.