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GCF of 5093/899, 4451/940

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 5093/899, 4451/940 i.e 1/845060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5093/899, 4451/940.

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 5093/899,4451/940?

Given fractions are 5093/899,4451/940

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 5093/899,4451/940, numerators are 5093,4451

Denominators are 899,940

The GCF of 5093,4451 is 1 .

LCM of 899,940 is 845060.

The greatest common factor of 5093/899,4451/940 = [GCF of 5093,4451]/[LCM of 899,940]= 1/845060

Therefore, the GCF of 5093/899,4451/940 is 1/845060.

Greatest Common Factor of 5093,4451

To find the highest common factor of 5093,4451, we have to find the factors of both numbers and list the highest common factor.

The factors of 5093 are 1, 11, 463, 5093

The factors of 4451 are 1, 4451

The HCF of 5093,4451 is 1.

Lets's calculate GCF of 5093,4451

Greatest Common Factor (GCF) of 5093,4451 By Common Division

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

Greatest Common Factor of 5093,4451 By Matching Biggest Common Factor Method

Greatest Common Factor of 5093,4451 By Matching Biggest Common Factor Method

Now, list down the factors of 5093

:

1,11,463,5093

Now, list down the factors of 4451

:

1,4451

Greatest Common Factor

We found the factors 5093,4451 . The biggest common factor number is the GCF number.
So the greatest common factor 5093,4451 is 1.

Lets's calculate LCM of 899,940

Lowest Common Multiple of 899,940 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 845060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/845060

Therefore, the GCF of Fractions 5093/899,4451/940 is 1/845060

Least Common Multiple of 899,940 with GCF Formula

Least Common Multiple of 899,940 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 899,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,940) = 1

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

GCF(899,940) x common factors =1 x 1 = 1

LCM(899,940) = ( 899 × 940 ) / 1

LCM(899,940) = 845060 / 1

LCM(899,940) = 845060


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FAQs on GCF of Fractions of 5093/899, 4451/940

1. What is the HCF of 5093,4451?

The HCF of 5093,4451 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 5093/899, 4451/940?

Answer: GCF of Numerators as per given numbers 5093/899, 4451/940 is

GCF of Numerators i.e. for 5093,4451 is 1

LCM of denominators i.e. for 899,940 is 845060.

Thus, GCF of Fractions is 1/845060.Finally, GCF of Fractions for 5093/899, 4451/940 is 1/845060.