How to Find GCF of 720/328, 4763/8120?

GCF of 720/328, 4763/8120

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 720/328, 4763/8120 i.e 1/332920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/328, 4763/8120.

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 720/328,4763/8120?

Given fractions are 720/328,4763/8120

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 720/328,4763/8120, numerators are 720,4763

Denominators are 328,8120

The GCF of 720,4763 is 1 .

LCM of 328,8120 is 332920.

The greatest common factor of 720/328,4763/8120 = [GCF of 720,4763]/[LCM of 328,8120]= 1/332920

Therefore, the GCF of 720/328,4763/8120 is 1/332920.

Greatest Common Factor of 720,4763

To find the highest common factor of 720,4763, 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 4763 are 1, 11, 433, 4763

The HCF of 720,4763 is 1.

Lets's calculate GCF of 720,4763

Greatest Common Factor (GCF) of 720,4763 By Common Division

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

Greatest Common Factor of 720,4763 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 4763

1,11,433,4763

Greatest Common Factor

We found the factors 720,4763 . The biggest common factor number is the GCF number.
So the greatest common factor 720,4763 is 1.

Lets's calculate LCM of 328,8120

Lowest Common Multiple of 328,8120 using Common Division

2	328, 8120
2	164, 4060
2	82, 2030
	41, 1015

∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 1015 = 332920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332920

Therefore, the GCF of Fractions 720/328,4763/8120 is 1/332920

Least Common Multiple of 328,8120 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 328,8120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,8120) = 8

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

GCF(328,8120) x common factors =8 x 1 = 8

LCM(328,8120) = ( 328 × 8120 ) / 8

LCM(328,8120) = 2663360 / 8

LCM(328,8120) = 332920

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FAQs on GCF of Fractions of 720/328, 4763/8120

1. What is the HCF of 720,4763?

The HCF of 720,4763 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 720/328, 4763/8120?

Answer: GCF of Numerators as per given numbers 720/328, 4763/8120 is

GCF of Numerators i.e. for 720,4763 is 1

LCM of denominators i.e. for 328,8120 is 332920.

Thus, GCF of Fractions is 1/332920.Finally, GCF of Fractions for 720/328, 4763/8120 is 1/332920.