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GCF of 6037/813, 3481/804

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 6037/813, 3481/804 i.e 1/217884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6037/813, 3481/804.

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 6037/813,3481/804?

Given fractions are 6037/813,3481/804

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 6037/813,3481/804, numerators are 6037,3481

Denominators are 813,804

The GCF of 6037,3481 is 1 .

LCM of 813,804 is 217884.

The greatest common factor of 6037/813,3481/804 = [GCF of 6037,3481]/[LCM of 813,804]= 1/217884

Therefore, the GCF of 6037/813,3481/804 is 1/217884.

Greatest Common Factor of 6037,3481

To find the highest common factor of 6037,3481, we have to find the factors of both numbers and list the highest common factor.

The factors of 6037 are 1, 6037

The factors of 3481 are 1, 59, 3481

The HCF of 6037,3481 is 1.

Lets's calculate GCF of 6037,3481

Greatest Common Factor (GCF) of 6037,3481 By Common Division

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

Greatest Common Factor of 6037,3481 By Matching Biggest Common Factor Method

Greatest Common Factor of 6037,3481 By Matching Biggest Common Factor Method

Now, list down the factors of 6037

:

1,6037

Now, list down the factors of 3481

:

1,59,3481

Greatest Common Factor

We found the factors 6037,3481 . The biggest common factor number is the GCF number.
So the greatest common factor 6037,3481 is 1.

Lets's calculate LCM of 813,804

Lowest Common Multiple of 813,804 using Common Division

3 813, 804
271, 268

∴ So the LCM of the given numbers is 3 x 271 x 268 = 217884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/217884

Therefore, the GCF of Fractions 6037/813,3481/804 is 1/217884

Least Common Multiple of 813,804 with GCF Formula

Least Common Multiple of 813,804 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 813,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,804) = 3

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

GCF(813,804) x common factors =3 x 1 = 3

LCM(813,804) = ( 813 × 804 ) / 3

LCM(813,804) = 653652 / 3

LCM(813,804) = 217884


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FAQs on GCF of Fractions of 6037/813, 3481/804

1. What is the HCF of 6037,3481?

The HCF of 6037,3481 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 6037/813, 3481/804?

Answer: GCF of Numerators as per given numbers 6037/813, 3481/804 is

GCF of Numerators i.e. for 6037,3481 is 1

LCM of denominators i.e. for 813,804 is 217884.

Thus, GCF of Fractions is 1/217884.Finally, GCF of Fractions for 6037/813, 3481/804 is 1/217884.