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GCF of 6763/604, 7286/9306

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 6763/604, 7286/9306 i.e 1/2810412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6763/604, 7286/9306.

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 6763/604,7286/9306?

Given fractions are 6763/604,7286/9306

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 6763/604,7286/9306, numerators are 6763,7286

Denominators are 604,9306

The GCF of 6763,7286 is 1 .

LCM of 604,9306 is 2810412.

The greatest common factor of 6763/604,7286/9306 = [GCF of 6763,7286]/[LCM of 604,9306]= 1/2810412

Therefore, the GCF of 6763/604,7286/9306 is 1/2810412.

Greatest Common Factor of 6763,7286

To find the highest common factor of 6763,7286, we have to find the factors of both numbers and list the highest common factor.

The factors of 6763 are 1, 6763

The factors of 7286 are 1, 2, 3643, 7286

The HCF of 6763,7286 is 1.

Lets's calculate GCF of 6763,7286

Greatest Common Factor (GCF) of 6763,7286 By Common Division

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

Greatest Common Factor of 6763,7286 By Matching Biggest Common Factor Method

Greatest Common Factor of 6763,7286 By Matching Biggest Common Factor Method

Now, list down the factors of 6763

:

1,6763

Now, list down the factors of 7286

:

1,2,3643,7286

Greatest Common Factor

We found the factors 6763,7286 . The biggest common factor number is the GCF number.
So the greatest common factor 6763,7286 is 1.

Lets's calculate LCM of 604,9306

Lowest Common Multiple of 604,9306 using Common Division

2 604, 9306
302, 4653

∴ So the LCM of the given numbers is 2 x 302 x 4653 = 2810412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2810412

Therefore, the GCF of Fractions 6763/604,7286/9306 is 1/2810412

Least Common Multiple of 604,9306 with GCF Formula

Least Common Multiple of 604,9306 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 604,9306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,9306) = 2

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

GCF(604,9306) x common factors =2 x 1 = 2

LCM(604,9306) = ( 604 × 9306 ) / 2

LCM(604,9306) = 5620824 / 2

LCM(604,9306) = 2810412


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FAQs on GCF of Fractions of 6763/604, 7286/9306

1. What is the HCF of 6763,7286?

The HCF of 6763,7286 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 6763/604, 7286/9306?

Answer: GCF of Numerators as per given numbers 6763/604, 7286/9306 is

GCF of Numerators i.e. for 6763,7286 is 1

LCM of denominators i.e. for 604,9306 is 2810412.

Thus, GCF of Fractions is 1/2810412.Finally, GCF of Fractions for 6763/604, 7286/9306 is 1/2810412.