How to Find GCF of 3821/490, 6242/6449?

GCF of 3821/490, 6242/6449

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 3821/490, 6242/6449 i.e 1/3160010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3821/490, 6242/6449.

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 3821/490,6242/6449?

Given fractions are 3821/490,6242/6449

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 3821/490,6242/6449, numerators are 3821,6242

Denominators are 490,6449

The GCF of 3821,6242 is 1 .

LCM of 490,6449 is 3160010.

The greatest common factor of 3821/490,6242/6449 = [GCF of 3821,6242]/[LCM of 490,6449]= 1/3160010

Therefore, the GCF of 3821/490,6242/6449 is 1/3160010.

Greatest Common Factor of 3821,6242

To find the highest common factor of 3821,6242, we have to find the factors of both numbers and list the highest common factor.

The factors of 3821 are 1, 3821

The factors of 6242 are 1, 2, 3121, 6242

The HCF of 3821,6242 is 1.

Lets's calculate GCF of 3821,6242

Greatest Common Factor (GCF) of 3821,6242 By Common Division

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

Greatest Common Factor of 3821,6242 By Matching Biggest Common Factor Method

Now, list down the factors of 3821

1,3821

Now, list down the factors of 6242

1,2,3121,6242

Greatest Common Factor

We found the factors 3821,6242 . The biggest common factor number is the GCF number.
So the greatest common factor 3821,6242 is 1.

Lets's calculate LCM of 490,6449

Lowest Common Multiple of 490,6449 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3160010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3160010

Therefore, the GCF of Fractions 3821/490,6242/6449 is 1/3160010

Least Common Multiple of 490,6449 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 490,6449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,6449) = 1

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

GCF(490,6449) x common factors =1 x 1 = 1

LCM(490,6449) = ( 490 × 6449 ) / 1

LCM(490,6449) = 3160010 / 1

LCM(490,6449) = 3160010

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FAQs on GCF of Fractions of 3821/490, 6242/6449

1. What is the HCF of 3821,6242?

The HCF of 3821,6242 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 3821/490, 6242/6449?

Answer: GCF of Numerators as per given numbers 3821/490, 6242/6449 is

GCF of Numerators i.e. for 3821,6242 is 1

LCM of denominators i.e. for 490,6449 is 3160010.

Thus, GCF of Fractions is 1/3160010.Finally, GCF of Fractions for 3821/490, 6242/6449 is 1/3160010.