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GCF of 5766/803, 9563/4855

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 5766/803, 9563/4855 i.e 1/3898565 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5766/803, 9563/4855.

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 5766/803,9563/4855?

Given fractions are 5766/803,9563/4855

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 5766/803,9563/4855, numerators are 5766,9563

Denominators are 803,4855

The GCF of 5766,9563 is 1 .

LCM of 803,4855 is 3898565.

The greatest common factor of 5766/803,9563/4855 = [GCF of 5766,9563]/[LCM of 803,4855]= 1/3898565

Therefore, the GCF of 5766/803,9563/4855 is 1/3898565.

Greatest Common Factor of 5766,9563

To find the highest common factor of 5766,9563, we have to find the factors of both numbers and list the highest common factor.

The factors of 5766 are 1, 2, 3, 6, 31, 62, 93, 186, 961, 1922, 2883, 5766

The factors of 9563 are 1, 73, 131, 9563

The HCF of 5766,9563 is 1.

Lets's calculate GCF of 5766,9563

Greatest Common Factor (GCF) of 5766,9563 By Common Division

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

Greatest Common Factor of 5766,9563 By Matching Biggest Common Factor Method

Greatest Common Factor of 5766,9563 By Matching Biggest Common Factor Method

Now, list down the factors of 5766

:

1,2,3,6,31,62,93,186,961,1922,2883,5766

Now, list down the factors of 9563

:

1,73,131,9563

Greatest Common Factor

We found the factors 5766,9563 . The biggest common factor number is the GCF number.
So the greatest common factor 5766,9563 is 1.


Lets's calculate LCM of 803,4855

Lowest Common Multiple of 803,4855 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3898565

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3898565

Therefore, the GCF of Fractions 5766/803,9563/4855 is 1/3898565

Least Common Multiple of 803,4855 with GCF Formula

Least Common Multiple of 803,4855 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 803,4855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(803,4855) = 1

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

GCF(803,4855) x common factors =1 x 1 = 1

LCM(803,4855) = ( 803 × 4855 ) / 1

LCM(803,4855) = 3898565 / 1

LCM(803,4855) = 3898565


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5766/803, 9563/4855

1. What is the HCF of 5766,9563?

The HCF of 5766,9563 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 5766/803, 9563/4855?

Answer: GCF of Numerators as per given numbers 5766/803, 9563/4855 is

GCF of Numerators i.e. for 5766,9563 is 1

LCM of denominators i.e. for 803,4855 is 3898565.

Thus, GCF of Fractions is 1/3898565.Finally, GCF of Fractions for 5766/803, 9563/4855 is 1/3898565.