How to Find GCF of 9012/254, 4535/768?

GCF of 9012/254, 4535/768

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 9012/254, 4535/768 i.e 1/97536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9012/254, 4535/768.

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 9012/254,4535/768?

Given fractions are 9012/254,4535/768

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 9012/254,4535/768, numerators are 9012,4535

Denominators are 254,768

The GCF of 9012,4535 is 1 .

LCM of 254,768 is 97536.

The greatest common factor of 9012/254,4535/768 = [GCF of 9012,4535]/[LCM of 254,768]= 1/97536

Therefore, the GCF of 9012/254,4535/768 is 1/97536.

Greatest Common Factor of 9012,4535

To find the highest common factor of 9012,4535, we have to find the factors of both numbers and list the highest common factor.

The factors of 9012 are 1, 2, 3, 4, 6, 12, 751, 1502, 2253, 3004, 4506, 9012

The factors of 4535 are 1, 5, 907, 4535

The HCF of 9012,4535 is 1.

Lets's calculate GCF of 9012,4535

Greatest Common Factor (GCF) of 9012,4535 By Common Division

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

Greatest Common Factor of 9012,4535 By Matching Biggest Common Factor Method

Now, list down the factors of 9012

1,2,3,4,6,12,751,1502,2253,3004,4506,9012

Now, list down the factors of 4535

1,5,907,4535

Greatest Common Factor

We found the factors 9012,4535 . The biggest common factor number is the GCF number.
So the greatest common factor 9012,4535 is 1.

Lets's calculate LCM of 254,768

Lowest Common Multiple of 254,768 using Common Division

2	254, 768
	127, 384

∴ So the LCM of the given numbers is 2 x 127 x 384 = 97536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97536

Therefore, the GCF of Fractions 9012/254,4535/768 is 1/97536

Least Common Multiple of 254,768 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 254,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,768) = 2

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

GCF(254,768) x common factors =2 x 1 = 2

LCM(254,768) = ( 254 × 768 ) / 2

LCM(254,768) = 195072 / 2

LCM(254,768) = 97536

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FAQs on GCF of Fractions of 9012/254, 4535/768

1. What is the HCF of 9012,4535?

The HCF of 9012,4535 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 9012/254, 4535/768?

Answer: GCF of Numerators as per given numbers 9012/254, 4535/768 is

GCF of Numerators i.e. for 9012,4535 is 1

LCM of denominators i.e. for 254,768 is 97536.

Thus, GCF of Fractions is 1/97536.Finally, GCF of Fractions for 9012/254, 4535/768 is 1/97536.