How to Find GCF of 9647/720, 2988/4576?

GCF of 9647/720, 2988/4576

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 9647/720, 2988/4576 i.e 1/205920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9647/720, 2988/4576.

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 9647/720,2988/4576?

Given fractions are 9647/720,2988/4576

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 9647/720,2988/4576, numerators are 9647,2988

Denominators are 720,4576

The GCF of 9647,2988 is 1 .

LCM of 720,4576 is 205920.

The greatest common factor of 9647/720,2988/4576 = [GCF of 9647,2988]/[LCM of 720,4576]= 1/205920

Therefore, the GCF of 9647/720,2988/4576 is 1/205920.

Greatest Common Factor of 9647,2988

To find the highest common factor of 9647,2988, we have to find the factors of both numbers and list the highest common factor.

The factors of 9647 are 1, 11, 877, 9647

The factors of 2988 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996, 1494, 2988

The HCF of 9647,2988 is 1.

Lets's calculate GCF of 9647,2988

Greatest Common Factor (GCF) of 9647,2988 By Common Division

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

Greatest Common Factor of 9647,2988 By Matching Biggest Common Factor Method

Now, list down the factors of 9647

1,11,877,9647

Now, list down the factors of 2988

1,2,3,4,6,9,12,18,36,83,166,249,332,498,747,996,1494,2988

Greatest Common Factor

We found the factors 9647,2988 . The biggest common factor number is the GCF number.
So the greatest common factor 9647,2988 is 1.

Lets's calculate LCM of 720,4576

Lowest Common Multiple of 720,4576 using Common Division

2	720, 4576
2	360, 2288
2	180, 1144
2	90, 572
	45, 286

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 45 x 286 = 205920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205920

Therefore, the GCF of Fractions 9647/720,2988/4576 is 1/205920

Least Common Multiple of 720,4576 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 720,4576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,4576) = 16

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

GCF(720,4576) x common factors =16 x 1 = 16

LCM(720,4576) = ( 720 × 4576 ) / 16

LCM(720,4576) = 3294720 / 16

LCM(720,4576) = 205920

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FAQs on GCF of Fractions of 9647/720, 2988/4576

1. What is the HCF of 9647,2988?

The HCF of 9647,2988 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 9647/720, 2988/4576?

Answer: GCF of Numerators as per given numbers 9647/720, 2988/4576 is

GCF of Numerators i.e. for 9647,2988 is 1

LCM of denominators i.e. for 720,4576 is 205920.

Thus, GCF of Fractions is 1/205920.Finally, GCF of Fractions for 9647/720, 2988/4576 is 1/205920.