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GCF of 4507/665, 9899/313

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 4507/665, 9899/313 i.e 1/208145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4507/665, 9899/313.

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 4507/665,9899/313?

Given fractions are 4507/665,9899/313

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 4507/665,9899/313, numerators are 4507,9899

Denominators are 665,313

The GCF of 4507,9899 is 1 .

LCM of 665,313 is 208145.

The greatest common factor of 4507/665,9899/313 = [GCF of 4507,9899]/[LCM of 665,313]= 1/208145

Therefore, the GCF of 4507/665,9899/313 is 1/208145.

Greatest Common Factor of 4507,9899

To find the highest common factor of 4507,9899, we have to find the factors of both numbers and list the highest common factor.

The factors of 4507 are 1, 4507

The factors of 9899 are 1, 19, 521, 9899

The HCF of 4507,9899 is 1.

Lets's calculate GCF of 4507,9899

Greatest Common Factor (GCF) of 4507,9899 By Common Division

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

Greatest Common Factor of 4507,9899 By Matching Biggest Common Factor Method

Greatest Common Factor of 4507,9899 By Matching Biggest Common Factor Method

Now, list down the factors of 4507

:

1,4507

Now, list down the factors of 9899

:

1,19,521,9899

Greatest Common Factor

We found the factors 4507,9899 . The biggest common factor number is the GCF number.
So the greatest common factor 4507,9899 is 1.

Lets's calculate LCM of 665,313

Lowest Common Multiple of 665,313 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 208145

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208145

Therefore, the GCF of Fractions 4507/665,9899/313 is 1/208145

Least Common Multiple of 665,313 with GCF Formula

Least Common Multiple of 665,313 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 665,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(665,313) = 1

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

GCF(665,313) x common factors =1 x 1 = 1

LCM(665,313) = ( 665 × 313 ) / 1

LCM(665,313) = 208145 / 1

LCM(665,313) = 208145


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FAQs on GCF of Fractions of 4507/665, 9899/313

1. What is the HCF of 4507,9899?

The HCF of 4507,9899 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 4507/665, 9899/313?

Answer: GCF of Numerators as per given numbers 4507/665, 9899/313 is

GCF of Numerators i.e. for 4507,9899 is 1

LCM of denominators i.e. for 665,313 is 208145.

Thus, GCF of Fractions is 1/208145.Finally, GCF of Fractions for 4507/665, 9899/313 is 1/208145.