How to Find GCF of 9529/728, 4777/8749?

GCF of 9529/728, 4777/8749

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 9529/728, 4777/8749 i.e 1/489944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9529/728, 4777/8749.

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 9529/728,4777/8749?

Given fractions are 9529/728,4777/8749

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 9529/728,4777/8749, numerators are 9529,4777

Denominators are 728,8749

The GCF of 9529,4777 is 1 .

LCM of 728,8749 is 489944.

The greatest common factor of 9529/728,4777/8749 = [GCF of 9529,4777]/[LCM of 728,8749]= 1/489944

Therefore, the GCF of 9529/728,4777/8749 is 1/489944.

Greatest Common Factor of 9529,4777

To find the highest common factor of 9529,4777, we have to find the factors of both numbers and list the highest common factor.

The factors of 9529 are 1, 13, 733, 9529

The factors of 4777 are 1, 17, 281, 4777

The HCF of 9529,4777 is 1.

Lets's calculate GCF of 9529,4777

Greatest Common Factor (GCF) of 9529,4777 By Common Division

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

Greatest Common Factor of 9529,4777 By Matching Biggest Common Factor Method

Now, list down the factors of 9529

1,13,733,9529

Now, list down the factors of 4777

1,17,281,4777

Greatest Common Factor

We found the factors 9529,4777 . The biggest common factor number is the GCF number.
So the greatest common factor 9529,4777 is 1.

Lets's calculate LCM of 728,8749

Lowest Common Multiple of 728,8749 using Common Division

13	728, 8749
	56, 673

∴ So the LCM of the given numbers is 13 x 56 x 673 = 489944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/489944

Therefore, the GCF of Fractions 9529/728,4777/8749 is 1/489944

Least Common Multiple of 728,8749 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 728,8749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,8749) = 13

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

GCF(728,8749) x common factors =13 x 1 = 13

LCM(728,8749) = ( 728 × 8749 ) / 13

LCM(728,8749) = 6369272 / 13

LCM(728,8749) = 489944

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FAQs on GCF of Fractions of 9529/728, 4777/8749

1. What is the HCF of 9529,4777?

The HCF of 9529,4777 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 9529/728, 4777/8749?

Answer: GCF of Numerators as per given numbers 9529/728, 4777/8749 is

GCF of Numerators i.e. for 9529,4777 is 1

LCM of denominators i.e. for 728,8749 is 489944.

Thus, GCF of Fractions is 1/489944.Finally, GCF of Fractions for 9529/728, 4777/8749 is 1/489944.