How to Find GCF of 4489/288, 5530/140?

GCF of 4489/288, 5530/140

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 4489/288, 5530/140 i.e 1/10080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4489/288, 5530/140.

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 4489/288,5530/140?

Given fractions are 4489/288,5530/140

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 4489/288,5530/140, numerators are 4489,5530

Denominators are 288,140

The GCF of 4489,5530 is 1 .

LCM of 288,140 is 10080.

The greatest common factor of 4489/288,5530/140 = [GCF of 4489,5530]/[LCM of 288,140]= 1/10080

Therefore, the GCF of 4489/288,5530/140 is 1/10080.

Greatest Common Factor of 4489,5530

To find the highest common factor of 4489,5530, we have to find the factors of both numbers and list the highest common factor.

The factors of 4489 are 1, 67, 4489

The factors of 5530 are 1, 2, 5, 7, 10, 14, 35, 70, 79, 158, 395, 553, 790, 1106, 2765, 5530

The HCF of 4489,5530 is 1.

Lets's calculate GCF of 4489,5530

Greatest Common Factor (GCF) of 4489,5530 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4489,5530 By Matching Biggest Common Factor Method

Now, list down the factors of 4489

1,67,4489

Now, list down the factors of 5530

1,2,5,7,10,14,35,70,79,158,395,553,790,1106,2765,5530

Greatest Common Factor

We found the factors 4489,5530 . The biggest common factor number is the GCF number.
So the greatest common factor 4489,5530 is 1.

Lets's calculate LCM of 288,140

Lowest Common Multiple of 288,140 using Common Division

2	288, 140
2	144, 70
	72, 35

∴ So the LCM of the given numbers is 2 x 2 x 72 x 35 = 10080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10080

Therefore, the GCF of Fractions 4489/288,5530/140 is 1/10080

Least Common Multiple of 288,140 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 288,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,140) = 4

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

GCF(288,140) x common factors =4 x 1 = 4

LCM(288,140) = ( 288 × 140 ) / 4

LCM(288,140) = 40320 / 4

LCM(288,140) = 10080

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FAQs on GCF of Fractions of 4489/288, 5530/140

1. What is the HCF of 4489,5530?

The HCF of 4489,5530 is 1

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 4489/288, 5530/140?

Answer: GCF of Numerators as per given numbers 4489/288, 5530/140 is

GCF of Numerators i.e. for 4489,5530 is 1

LCM of denominators i.e. for 288,140 is 10080.

Thus, GCF of Fractions is 1/10080.Finally, GCF of Fractions for 4489/288, 5530/140 is 1/10080.