How to Find GCF of 9645/640, 9479/4470?

GCF of 9645/640, 9479/4470

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 9645/640, 9479/4470 i.e 1/286080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9645/640, 9479/4470.

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 9645/640,9479/4470?

Given fractions are 9645/640,9479/4470

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 9645/640,9479/4470, numerators are 9645,9479

Denominators are 640,4470

The GCF of 9645,9479 is 1 .

LCM of 640,4470 is 286080.

The greatest common factor of 9645/640,9479/4470 = [GCF of 9645,9479]/[LCM of 640,4470]= 1/286080

Therefore, the GCF of 9645/640,9479/4470 is 1/286080.

Greatest Common Factor of 9645,9479

To find the highest common factor of 9645,9479, we have to find the factors of both numbers and list the highest common factor.

The factors of 9645 are 1, 3, 5, 15, 643, 1929, 3215, 9645

The factors of 9479 are 1, 9479

The HCF of 9645,9479 is 1.

Lets's calculate GCF of 9645,9479

Greatest Common Factor (GCF) of 9645,9479 By Common Division

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

Greatest Common Factor of 9645,9479 By Matching Biggest Common Factor Method

Now, list down the factors of 9645

1,3,5,15,643,1929,3215,9645

Now, list down the factors of 9479

1,9479

Greatest Common Factor

We found the factors 9645,9479 . The biggest common factor number is the GCF number.
So the greatest common factor 9645,9479 is 1.

Lets's calculate LCM of 640,4470

Lowest Common Multiple of 640,4470 using Common Division

2	640, 4470
5	320, 2235
	64, 447

∴ So the LCM of the given numbers is 2 x 5 x 64 x 447 = 286080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286080

Therefore, the GCF of Fractions 9645/640,9479/4470 is 1/286080

Least Common Multiple of 640,4470 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 640,4470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,4470) = 10

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

GCF(640,4470) x common factors =10 x 1 = 10

LCM(640,4470) = ( 640 × 4470 ) / 10

LCM(640,4470) = 2860800 / 10

LCM(640,4470) = 286080

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FAQs on GCF of Fractions of 9645/640, 9479/4470

1. What is the HCF of 9645,9479?

The HCF of 9645,9479 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 9645/640, 9479/4470?

Answer: GCF of Numerators as per given numbers 9645/640, 9479/4470 is

GCF of Numerators i.e. for 9645,9479 is 1

LCM of denominators i.e. for 640,4470 is 286080.

Thus, GCF of Fractions is 1/286080.Finally, GCF of Fractions for 9645/640, 9479/4470 is 1/286080.