How to Find GCF of 9775/384, 8929/9749?

GCF of 9775/384, 8929/9749

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 9775/384, 8929/9749 i.e 1/3743616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9775/384, 8929/9749.

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 9775/384,8929/9749?

Given fractions are 9775/384,8929/9749

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 9775/384,8929/9749, numerators are 9775,8929

Denominators are 384,9749

The GCF of 9775,8929 is 1 .

LCM of 384,9749 is 3743616.

The greatest common factor of 9775/384,8929/9749 = [GCF of 9775,8929]/[LCM of 384,9749]= 1/3743616

Therefore, the GCF of 9775/384,8929/9749 is 1/3743616.

Greatest Common Factor of 9775,8929

To find the highest common factor of 9775,8929, we have to find the factors of both numbers and list the highest common factor.

The factors of 9775 are 1, 5, 17, 23, 25, 85, 115, 391, 425, 575, 1955, 9775

The factors of 8929 are 1, 8929

The HCF of 9775,8929 is 1.

Lets's calculate GCF of 9775,8929

Greatest Common Factor (GCF) of 9775,8929 By Common Division

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

Greatest Common Factor of 9775,8929 By Matching Biggest Common Factor Method

Now, list down the factors of 9775

1,5,17,23,25,85,115,391,425,575,1955,9775

Now, list down the factors of 8929

1,8929

Greatest Common Factor

We found the factors 9775,8929 . The biggest common factor number is the GCF number.
So the greatest common factor 9775,8929 is 1.

Lets's calculate LCM of 384,9749

Lowest Common Multiple of 384,9749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3743616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3743616

Therefore, the GCF of Fractions 9775/384,8929/9749 is 1/3743616

Least Common Multiple of 384,9749 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 384,9749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,9749) = 1

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

GCF(384,9749) x common factors =1 x 1 = 1

LCM(384,9749) = ( 384 × 9749 ) / 1

LCM(384,9749) = 3743616 / 1

LCM(384,9749) = 3743616

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FAQs on GCF of Fractions of 9775/384, 8929/9749

1. What is the HCF of 9775,8929?

The HCF of 9775,8929 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 9775/384, 8929/9749?

Answer: GCF of Numerators as per given numbers 9775/384, 8929/9749 is

GCF of Numerators i.e. for 9775,8929 is 1

LCM of denominators i.e. for 384,9749 is 3743616.

Thus, GCF of Fractions is 1/3743616.Finally, GCF of Fractions for 9775/384, 8929/9749 is 1/3743616.