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GCF of 901/458, 7881/978

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 901/458, 7881/978 i.e 1/223962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 901/458, 7881/978.

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 901/458,7881/978?

Given fractions are 901/458,7881/978

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 901/458,7881/978, numerators are 901,7881

Denominators are 458,978

The GCF of 901,7881 is 1 .

LCM of 458,978 is 223962.

The greatest common factor of 901/458,7881/978 = [GCF of 901,7881]/[LCM of 458,978]= 1/223962

Therefore, the GCF of 901/458,7881/978 is 1/223962.

Greatest Common Factor of 901,7881

To find the highest common factor of 901,7881, we have to find the factors of both numbers and list the highest common factor.

The factors of 901 are 1, 17, 53, 901

The factors of 7881 are 1, 3, 37, 71, 111, 213, 2627, 7881

The HCF of 901,7881 is 1.

Lets's calculate GCF of 901,7881

Greatest Common Factor (GCF) of 901,7881 By Common Division

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

Greatest Common Factor of 901,7881 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,7881 By Matching Biggest Common Factor Method

Now, list down the factors of 901

:

1,17,53,901

Now, list down the factors of 7881

:

1,3,37,71,111,213,2627,7881

Greatest Common Factor

We found the factors 901,7881 . The biggest common factor number is the GCF number.
So the greatest common factor 901,7881 is 1.

Lets's calculate LCM of 458,978

Lowest Common Multiple of 458,978 using Common Division

2 458, 978
229, 489

∴ So the LCM of the given numbers is 2 x 229 x 489 = 223962

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223962

Therefore, the GCF of Fractions 901/458,7881/978 is 1/223962

Least Common Multiple of 458,978 with GCF Formula

Least Common Multiple of 458,978 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 458,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,978) = 2

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

GCF(458,978) x common factors =2 x 1 = 2

LCM(458,978) = ( 458 × 978 ) / 2

LCM(458,978) = 447924 / 2

LCM(458,978) = 223962


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 901/458, 7881/978

1. What is the HCF of 901,7881?

The HCF of 901,7881 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 901/458, 7881/978?

Answer: GCF of Numerators as per given numbers 901/458, 7881/978 is

GCF of Numerators i.e. for 901,7881 is 1

LCM of denominators i.e. for 458,978 is 223962.

Thus, GCF of Fractions is 1/223962.Finally, GCF of Fractions for 901/458, 7881/978 is 1/223962.