How to Find GCF of 3307/490, 3638/4863?

GCF of 3307/490, 3638/4863

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 3307/490, 3638/4863 i.e 1/2382870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3307/490, 3638/4863.

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 3307/490,3638/4863?

Given fractions are 3307/490,3638/4863

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 3307/490,3638/4863, numerators are 3307,3638

Denominators are 490,4863

The GCF of 3307,3638 is 1 .

LCM of 490,4863 is 2382870.

The greatest common factor of 3307/490,3638/4863 = [GCF of 3307,3638]/[LCM of 490,4863]= 1/2382870

Therefore, the GCF of 3307/490,3638/4863 is 1/2382870.

Greatest Common Factor of 3307,3638

To find the highest common factor of 3307,3638, we have to find the factors of both numbers and list the highest common factor.

The factors of 3307 are 1, 3307

The factors of 3638 are 1, 2, 17, 34, 107, 214, 1819, 3638

The HCF of 3307,3638 is 1.

Lets's calculate GCF of 3307,3638

Greatest Common Factor (GCF) of 3307,3638 By Common Division

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

Greatest Common Factor of 3307,3638 By Matching Biggest Common Factor Method

Now, list down the factors of 3307

1,3307

Now, list down the factors of 3638

1,2,17,34,107,214,1819,3638

Greatest Common Factor

We found the factors 3307,3638 . The biggest common factor number is the GCF number.
So the greatest common factor 3307,3638 is 1.

Lets's calculate LCM of 490,4863

Lowest Common Multiple of 490,4863 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2382870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2382870

Therefore, the GCF of Fractions 3307/490,3638/4863 is 1/2382870

Least Common Multiple of 490,4863 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 490,4863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,4863) = 1

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

GCF(490,4863) x common factors =1 x 1 = 1

LCM(490,4863) = ( 490 × 4863 ) / 1

LCM(490,4863) = 2382870 / 1

LCM(490,4863) = 2382870

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FAQs on GCF of Fractions of 3307/490, 3638/4863

1. What is the HCF of 3307,3638?

The HCF of 3307,3638 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 3307/490, 3638/4863?

Answer: GCF of Numerators as per given numbers 3307/490, 3638/4863 is

GCF of Numerators i.e. for 3307,3638 is 1

LCM of denominators i.e. for 490,4863 is 2382870.

Thus, GCF of Fractions is 1/2382870.Finally, GCF of Fractions for 3307/490, 3638/4863 is 1/2382870.