How to Find GCF of 4630/481, 8826/9729?

GCF of 4630/481, 8826/9729

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 4630/481, 8826/9729 i.e 2/4679649 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4630/481, 8826/9729.

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 4630/481,8826/9729?

Given fractions are 4630/481,8826/9729

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 4630/481,8826/9729, numerators are 4630,8826

Denominators are 481,9729

The GCF of 4630,8826 is 2 .

LCM of 481,9729 is 4679649.

The greatest common factor of 4630/481,8826/9729 = [GCF of 4630,8826]/[LCM of 481,9729]= 2/4679649

Therefore, the GCF of 4630/481,8826/9729 is 2/4679649.

Greatest Common Factor of 4630,8826

To find the highest common factor of 4630,8826, we have to find the factors of both numbers and list the highest common factor.

The factors of 4630 are 1, 2, 5, 10, 463, 926, 2315, 4630

The factors of 8826 are 1, 2, 3, 6, 1471, 2942, 4413, 8826

The HCF of 4630,8826 is 2.

Lets's calculate GCF of 4630,8826

Greatest Common Factor (GCF) of 4630,8826 By Common Division

2	4630, 8826
	2315, 4413

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4630,8826 By Matching Biggest Common Factor Method

Now, list down the factors of 4630

1,2,5,10,463,926,2315,4630

Now, list down the factors of 8826

1,2,3,6,1471,2942,4413,8826

Greatest Common Factor

We found the factors 4630,8826 . The biggest common factor number is the GCF number.
So the greatest common factor 4630,8826 is 2.

Lets's calculate LCM of 481,9729

Lowest Common Multiple of 481,9729 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4679649

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4679649

Therefore, the GCF of Fractions 4630/481,8826/9729 is 2/4679649

Least Common Multiple of 481,9729 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 481,9729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,9729) = 1

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

GCF(481,9729) x common factors =1 x 1 = 1

LCM(481,9729) = ( 481 × 9729 ) / 1

LCM(481,9729) = 4679649 / 1

LCM(481,9729) = 4679649

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FAQs on GCF of Fractions of 4630/481, 8826/9729

1. What is the HCF of 4630,8826?

The HCF of 4630,8826 is 2

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 4630/481, 8826/9729?

Answer: GCF of Numerators as per given numbers 4630/481, 8826/9729 is

GCF of Numerators i.e. for 4630,8826 is 2

LCM of denominators i.e. for 481,9729 is 4679649.

Thus, GCF of Fractions is 2/4679649.Finally, GCF of Fractions for 4630/481, 8826/9729 is 2/4679649.