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GCF of 3242/418, 6149/384

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 3242/418, 6149/384 i.e 1/80256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3242/418, 6149/384.

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 3242/418,6149/384?

Given fractions are 3242/418,6149/384

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 3242/418,6149/384, numerators are 3242,6149

Denominators are 418,384

The GCF of 3242,6149 is 1 .

LCM of 418,384 is 80256.

The greatest common factor of 3242/418,6149/384 = [GCF of 3242,6149]/[LCM of 418,384]= 1/80256

Therefore, the GCF of 3242/418,6149/384 is 1/80256.

Greatest Common Factor of 3242,6149

To find the highest common factor of 3242,6149, we have to find the factors of both numbers and list the highest common factor.

The factors of 3242 are 1, 2, 1621, 3242

The factors of 6149 are 1, 11, 13, 43, 143, 473, 559, 6149

The HCF of 3242,6149 is 1.

Lets's calculate GCF of 3242,6149

Greatest Common Factor (GCF) of 3242,6149 By Common Division

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

Greatest Common Factor of 3242,6149 By Matching Biggest Common Factor Method

Greatest Common Factor of 3242,6149 By Matching Biggest Common Factor Method

Now, list down the factors of 3242

:

1,2,1621,3242

Now, list down the factors of 6149

:

1,11,13,43,143,473,559,6149

Greatest Common Factor

We found the factors 3242,6149 . The biggest common factor number is the GCF number.
So the greatest common factor 3242,6149 is 1.

Lets's calculate LCM of 418,384

Lowest Common Multiple of 418,384 using Common Division

2 418, 384
209, 192

∴ So the LCM of the given numbers is 2 x 209 x 192 = 80256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80256

Therefore, the GCF of Fractions 3242/418,6149/384 is 1/80256

Least Common Multiple of 418,384 with GCF Formula

Least Common Multiple of 418,384 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 418,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,384) = 2

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

GCF(418,384) x common factors =2 x 1 = 2

LCM(418,384) = ( 418 × 384 ) / 2

LCM(418,384) = 160512 / 2

LCM(418,384) = 80256


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FAQs on GCF of Fractions of 3242/418, 6149/384

1. What is the HCF of 3242,6149?

The HCF of 3242,6149 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 3242/418, 6149/384?

Answer: GCF of Numerators as per given numbers 3242/418, 6149/384 is

GCF of Numerators i.e. for 3242,6149 is 1

LCM of denominators i.e. for 418,384 is 80256.

Thus, GCF of Fractions is 1/80256.Finally, GCF of Fractions for 3242/418, 6149/384 is 1/80256.