How to Find GCF of 6299/330, 8110/5532?

GCF of 6299/330, 8110/5532

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 6299/330, 8110/5532 i.e 1/304260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6299/330, 8110/5532.

Enter two or more fractions separated by "commas"

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

What is the GCF of 6299/330,8110/5532?

Given fractions are 6299/330,8110/5532

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 6299/330,8110/5532, numerators are 6299,8110

Denominators are 330,5532

The GCF of 6299,8110 is 1 .

LCM of 330,5532 is 304260.

The greatest common factor of 6299/330,8110/5532 = [GCF of 6299,8110]/[LCM of 330,5532]= 1/304260

Therefore, the GCF of 6299/330,8110/5532 is 1/304260.

Greatest Common Factor of 6299,8110

To find the highest common factor of 6299,8110, we have to find the factors of both numbers and list the highest common factor.

The factors of 6299 are 1, 6299

The factors of 8110 are 1, 2, 5, 10, 811, 1622, 4055, 8110

The HCF of 6299,8110 is 1.

Lets's calculate GCF of 6299,8110

Greatest Common Factor (GCF) of 6299,8110 By Common Division

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

Greatest Common Factor of 6299,8110 By Matching Biggest Common Factor Method

Now, list down the factors of 6299

1,6299

Now, list down the factors of 8110

1,2,5,10,811,1622,4055,8110

Greatest Common Factor

We found the factors 6299,8110 . The biggest common factor number is the GCF number.
So the greatest common factor 6299,8110 is 1.

Lets's calculate LCM of 330,5532

Lowest Common Multiple of 330,5532 using Common Division

2	330, 5532
3	165, 2766
	55, 922

∴ So the LCM of the given numbers is 2 x 3 x 55 x 922 = 304260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/304260

Therefore, the GCF of Fractions 6299/330,8110/5532 is 1/304260

Least Common Multiple of 330,5532 with GCF Formula

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

We need to calculate greatest common factor of 330,5532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,5532) = 6

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

GCF(330,5532) x common factors =6 x 1 = 6

LCM(330,5532) = ( 330 × 5532 ) / 6

LCM(330,5532) = 1825560 / 6

LCM(330,5532) = 304260

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FAQs on GCF of Fractions of 6299/330, 8110/5532

1. What is the HCF of 6299,8110?

The HCF of 6299,8110 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 6299/330, 8110/5532?

Answer: GCF of Numerators as per given numbers 6299/330, 8110/5532 is

GCF of Numerators i.e. for 6299,8110 is 1

LCM of denominators i.e. for 330,5532 is 304260.

Thus, GCF of Fractions is 1/304260.Finally, GCF of Fractions for 6299/330, 8110/5532 is 1/304260.