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GCF of 5806/636, 3921/7275

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 5806/636, 3921/7275 i.e 1/1542300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5806/636, 3921/7275.

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 5806/636,3921/7275?

Given fractions are 5806/636,3921/7275

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 5806/636,3921/7275, numerators are 5806,3921

Denominators are 636,7275

The GCF of 5806,3921 is 1 .

LCM of 636,7275 is 1542300.

The greatest common factor of 5806/636,3921/7275 = [GCF of 5806,3921]/[LCM of 636,7275]= 1/1542300

Therefore, the GCF of 5806/636,3921/7275 is 1/1542300.

Greatest Common Factor of 5806,3921

To find the highest common factor of 5806,3921, we have to find the factors of both numbers and list the highest common factor.

The factors of 5806 are 1, 2, 2903, 5806

The factors of 3921 are 1, 3, 1307, 3921

The HCF of 5806,3921 is 1.

Lets's calculate GCF of 5806,3921

Greatest Common Factor (GCF) of 5806,3921 By Common Division

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

Greatest Common Factor of 5806,3921 By Matching Biggest Common Factor Method

Greatest Common Factor of 5806,3921 By Matching Biggest Common Factor Method

Now, list down the factors of 5806

:

1,2,2903,5806

Now, list down the factors of 3921

:

1,3,1307,3921

Greatest Common Factor

We found the factors 5806,3921 . The biggest common factor number is the GCF number.
So the greatest common factor 5806,3921 is 1.


Lets's calculate LCM of 636,7275

Lowest Common Multiple of 636,7275 using Common Division

3 636, 7275
212, 2425

∴ So the LCM of the given numbers is 3 x 212 x 2425 = 1542300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1542300

Therefore, the GCF of Fractions 5806/636,3921/7275 is 1/1542300

Least Common Multiple of 636,7275 with GCF Formula

Least Common Multiple of 636,7275 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 636,7275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,7275) = 3

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

GCF(636,7275) x common factors =3 x 1 = 3

LCM(636,7275) = ( 636 × 7275 ) / 3

LCM(636,7275) = 4626900 / 3

LCM(636,7275) = 1542300


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5806/636, 3921/7275

1. What is the HCF of 5806,3921?

The HCF of 5806,3921 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 5806/636, 3921/7275?

Answer: GCF of Numerators as per given numbers 5806/636, 3921/7275 is

GCF of Numerators i.e. for 5806,3921 is 1

LCM of denominators i.e. for 636,7275 is 1542300.

Thus, GCF of Fractions is 1/1542300.Finally, GCF of Fractions for 5806/636, 3921/7275 is 1/1542300.