How to Find GCF of 4484/120, 5003/1120?

GCF of 4484/120, 5003/1120

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 4484/120, 5003/1120 i.e 1/3360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4484/120, 5003/1120.

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 4484/120,5003/1120?

Given fractions are 4484/120,5003/1120

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 4484/120,5003/1120, numerators are 4484,5003

Denominators are 120,1120

The GCF of 4484,5003 is 1 .

LCM of 120,1120 is 3360.

The greatest common factor of 4484/120,5003/1120 = [GCF of 4484,5003]/[LCM of 120,1120]= 1/3360

Therefore, the GCF of 4484/120,5003/1120 is 1/3360.

Greatest Common Factor of 4484,5003

To find the highest common factor of 4484,5003, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 5003 are 1, 5003

The HCF of 4484,5003 is 1.

Lets's calculate GCF of 4484,5003

Greatest Common Factor (GCF) of 4484,5003 By Common Division

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

Greatest Common Factor of 4484,5003 By Matching Biggest Common Factor Method

Now, list down the factors of 4484

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

Now, list down the factors of 5003

1,5003

Greatest Common Factor

We found the factors 4484,5003 . The biggest common factor number is the GCF number.
So the greatest common factor 4484,5003 is 1.

Lets's calculate LCM of 120,1120

Lowest Common Multiple of 120,1120 using Common Division

2	120, 1120
2	60, 560
2	30, 280
5	15, 140
	3, 28

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 3 x 28 = 3360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3360

Therefore, the GCF of Fractions 4484/120,5003/1120 is 1/3360

Least Common Multiple of 120,1120 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 120,1120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,1120) = 40

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

GCF(120,1120) x common factors =40 x 1 = 40

LCM(120,1120) = ( 120 × 1120 ) / 40

LCM(120,1120) = 134400 / 40

LCM(120,1120) = 3360

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FAQs on GCF of Fractions of 4484/120, 5003/1120

1. What is the HCF of 4484,5003?

The HCF of 4484,5003 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 4484/120, 5003/1120?

Answer: GCF of Numerators as per given numbers 4484/120, 5003/1120 is

GCF of Numerators i.e. for 4484,5003 is 1

LCM of denominators i.e. for 120,1120 is 3360.

Thus, GCF of Fractions is 1/3360.Finally, GCF of Fractions for 4484/120, 5003/1120 is 1/3360.