How to Find GCF of 5827/356, 1353/7809?

GCF of 5827/356, 1353/7809

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 5827/356, 1353/7809 i.e 1/2780004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5827/356, 1353/7809.

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 5827/356,1353/7809?

Given fractions are 5827/356,1353/7809

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 5827/356,1353/7809, numerators are 5827,1353

Denominators are 356,7809

The GCF of 5827,1353 is 1 .

LCM of 356,7809 is 2780004.

The greatest common factor of 5827/356,1353/7809 = [GCF of 5827,1353]/[LCM of 356,7809]= 1/2780004

Therefore, the GCF of 5827/356,1353/7809 is 1/2780004.

Greatest Common Factor of 5827,1353

To find the highest common factor of 5827,1353, we have to find the factors of both numbers and list the highest common factor.

The factors of 5827 are 1, 5827

The factors of 1353 are 1, 3, 11, 33, 41, 123, 451, 1353

The HCF of 5827,1353 is 1.

Lets's calculate GCF of 5827,1353

Greatest Common Factor (GCF) of 5827,1353 By Common Division

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

Greatest Common Factor of 5827,1353 By Matching Biggest Common Factor Method

Now, list down the factors of 5827

1,5827

Now, list down the factors of 1353

1,3,11,33,41,123,451,1353

Greatest Common Factor

We found the factors 5827,1353 . The biggest common factor number is the GCF number.
So the greatest common factor 5827,1353 is 1.

Lets's calculate LCM of 356,7809

Lowest Common Multiple of 356,7809 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2780004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2780004

Therefore, the GCF of Fractions 5827/356,1353/7809 is 1/2780004

Least Common Multiple of 356,7809 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 356,7809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,7809) = 1

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

GCF(356,7809) x common factors =1 x 1 = 1

LCM(356,7809) = ( 356 × 7809 ) / 1

LCM(356,7809) = 2780004 / 1

LCM(356,7809) = 2780004

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FAQs on GCF of Fractions of 5827/356, 1353/7809

1. What is the HCF of 5827,1353?

The HCF of 5827,1353 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 5827/356, 1353/7809?

Answer: GCF of Numerators as per given numbers 5827/356, 1353/7809 is

GCF of Numerators i.e. for 5827,1353 is 1

LCM of denominators i.e. for 356,7809 is 2780004.

Thus, GCF of Fractions is 1/2780004.Finally, GCF of Fractions for 5827/356, 1353/7809 is 1/2780004.