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GCF of 9125/396, 8273/643

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 9125/396, 8273/643 i.e 1/254628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9125/396, 8273/643.

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 9125/396,8273/643?

Given fractions are 9125/396,8273/643

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 9125/396,8273/643, numerators are 9125,8273

Denominators are 396,643

The GCF of 9125,8273 is 1 .

LCM of 396,643 is 254628.

The greatest common factor of 9125/396,8273/643 = [GCF of 9125,8273]/[LCM of 396,643]= 1/254628

Therefore, the GCF of 9125/396,8273/643 is 1/254628.

Greatest Common Factor of 9125,8273

To find the highest common factor of 9125,8273, we have to find the factors of both numbers and list the highest common factor.

The factors of 9125 are 1, 5, 25, 73, 125, 365, 1825, 9125

The factors of 8273 are 1, 8273

The HCF of 9125,8273 is 1.

Lets's calculate GCF of 9125,8273

Greatest Common Factor (GCF) of 9125,8273 By Common Division

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

Greatest Common Factor of 9125,8273 By Matching Biggest Common Factor Method

Greatest Common Factor of 9125,8273 By Matching Biggest Common Factor Method

Now, list down the factors of 9125

:

1,5,25,73,125,365,1825,9125

Now, list down the factors of 8273

:

1,8273

Greatest Common Factor

We found the factors 9125,8273 . The biggest common factor number is the GCF number.
So the greatest common factor 9125,8273 is 1.

Lets's calculate LCM of 396,643

Lowest Common Multiple of 396,643 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 254628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/254628

Therefore, the GCF of Fractions 9125/396,8273/643 is 1/254628

Least Common Multiple of 396,643 with GCF Formula

Least Common Multiple of 396,643 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 396,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,643) = 1

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

GCF(396,643) x common factors =1 x 1 = 1

LCM(396,643) = ( 396 × 643 ) / 1

LCM(396,643) = 254628 / 1

LCM(396,643) = 254628


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FAQs on GCF of Fractions of 9125/396, 8273/643

1. What is the HCF of 9125,8273?

The HCF of 9125,8273 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 9125/396, 8273/643?

Answer: GCF of Numerators as per given numbers 9125/396, 8273/643 is

GCF of Numerators i.e. for 9125,8273 is 1

LCM of denominators i.e. for 396,643 is 254628.

Thus, GCF of Fractions is 1/254628.Finally, GCF of Fractions for 9125/396, 8273/643 is 1/254628.