How to Find GCF of 7303/640, 5482/300?

GCF of 7303/640, 5482/300

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 7303/640, 5482/300 i.e 1/9600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7303/640, 5482/300.

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 7303/640,5482/300?

Given fractions are 7303/640,5482/300

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 7303/640,5482/300, numerators are 7303,5482

Denominators are 640,300

The GCF of 7303,5482 is 1 .

LCM of 640,300 is 9600.

The greatest common factor of 7303/640,5482/300 = [GCF of 7303,5482]/[LCM of 640,300]= 1/9600

Therefore, the GCF of 7303/640,5482/300 is 1/9600.

Greatest Common Factor of 7303,5482

To find the highest common factor of 7303,5482, we have to find the factors of both numbers and list the highest common factor.

The factors of 7303 are 1, 67, 109, 7303

The factors of 5482 are 1, 2, 2741, 5482

The HCF of 7303,5482 is 1.

Lets's calculate GCF of 7303,5482

Greatest Common Factor (GCF) of 7303,5482 By Common Division

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

Greatest Common Factor of 7303,5482 By Matching Biggest Common Factor Method

Now, list down the factors of 7303

1,67,109,7303

Now, list down the factors of 5482

1,2,2741,5482

Greatest Common Factor

We found the factors 7303,5482 . The biggest common factor number is the GCF number.
So the greatest common factor 7303,5482 is 1.

Lets's calculate LCM of 640,300

Lowest Common Multiple of 640,300 using Common Division

2	640, 300
2	320, 150
5	160, 75
	32, 15

∴ So the LCM of the given numbers is 2 x 2 x 5 x 32 x 15 = 9600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9600

Therefore, the GCF of Fractions 7303/640,5482/300 is 1/9600

Least Common Multiple of 640,300 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 640,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,300) = 20

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

GCF(640,300) x common factors =20 x 1 = 20

LCM(640,300) = ( 640 × 300 ) / 20

LCM(640,300) = 192000 / 20

LCM(640,300) = 9600

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7303/640, 5482/300

1. What is the HCF of 7303,5482?

The HCF of 7303,5482 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 7303/640, 5482/300?

Answer: GCF of Numerators as per given numbers 7303/640, 5482/300 is

GCF of Numerators i.e. for 7303,5482 is 1

LCM of denominators i.e. for 640,300 is 9600.

Thus, GCF of Fractions is 1/9600.Finally, GCF of Fractions for 7303/640, 5482/300 is 1/9600.