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GCF of 9055/978, 1029/752

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 9055/978, 1029/752 i.e 1/367728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9055/978, 1029/752.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9055/978,1029/752?

Given fractions are 9055/978,1029/752

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 9055/978,1029/752, numerators are 9055,1029

Denominators are 978,752

The GCF of 9055,1029 is 1 .

LCM of 978,752 is 367728.

The greatest common factor of 9055/978,1029/752 = [GCF of 9055,1029]/[LCM of 978,752]= 1/367728

Therefore, the GCF of 9055/978,1029/752 is 1/367728.

Greatest Common Factor of 9055,1029

To find the highest common factor of 9055,1029, we have to find the factors of both numbers and list the highest common factor.

The factors of 9055 are 1, 5, 1811, 9055

The factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029

The HCF of 9055,1029 is 1.

Lets's calculate GCF of 9055,1029

Greatest Common Factor (GCF) of 9055,1029 By Common Division

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

Greatest Common Factor of 9055,1029 By Matching Biggest Common Factor Method

Greatest Common Factor of 9055,1029 By Matching Biggest Common Factor Method

Now, list down the factors of 9055

:

1,5,1811,9055

Now, list down the factors of 1029

:

1,3,7,21,49,147,343,1029

Greatest Common Factor

We found the factors 9055,1029 . The biggest common factor number is the GCF number.
So the greatest common factor 9055,1029 is 1.

Lets's calculate LCM of 978,752

Lowest Common Multiple of 978,752 using Common Division

2 978, 752
489, 376

∴ So the LCM of the given numbers is 2 x 489 x 376 = 367728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/367728

Therefore, the GCF of Fractions 9055/978,1029/752 is 1/367728

Least Common Multiple of 978,752 with GCF Formula

Least Common Multiple of 978,752 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 978,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,752) = 2

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

GCF(978,752) x common factors =2 x 1 = 2

LCM(978,752) = ( 978 × 752 ) / 2

LCM(978,752) = 735456 / 2

LCM(978,752) = 367728


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9055/978, 1029/752

1. What is the HCF of 9055,1029?

The HCF of 9055,1029 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 9055/978, 1029/752?

Answer: GCF of Numerators as per given numbers 9055/978, 1029/752 is

GCF of Numerators i.e. for 9055,1029 is 1

LCM of denominators i.e. for 978,752 is 367728.

Thus, GCF of Fractions is 1/367728.Finally, GCF of Fractions for 9055/978, 1029/752 is 1/367728.