Greatest Common Factor of 5492/321, 8795/9825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5492/321, 8795/9825

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 5492/321,8795/9825

Given fractions are 5492/321,8795/9825

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5492,8795

Greatest Common Factor of Numerators i.e. GCF of 5492,8795 is 1 .

LCM of Denominators means LCM of 321,9825 as per the given fractions.

LCM of 321,9825 is 1051275 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5492,8795

GCF of Fractions 5492/321,8795/9825 is 1/1051275

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

Greatest Common Factor of 5492,8795 By Matching Biggest Common Factor Method

Greatest Common Factor of 5492,8795 By Matching Biggest Common Factor Method

Factors of 5492

List of positive integer factors of 5492 that divides 5492 without a remainder.

1,2,4,1373,2746,5492

Factors of 8795

List of positive integer factors of 8795 that divides 8795 without a remainder.

1,5,1759,8795

Greatest Common Factor

We found the factors 5492,8795 . The biggest common factor number is the GCF number.
So the greatest common factor 5492,8795 is 1.

Lets's calculate LCM of 321,9825

3 321, 9825
107, 3275

∴ So the LCM of the given numbers is 3 x 107 x 3275 = 1051275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1051275

Therefore, the GCF of Fractions 5492/321,8795/9825 is 1/1051275

Least Common Multiple of 321,9825 with GCF Formula

Least Common Multiple of 321,9825 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 321,9825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,9825) = 3

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

GCF(321,9825) x common factors =3 x 1 = 3

LCM(321,9825) = ( 321 × 9825 ) / 3

LCM(321,9825) = 3153825 / 3

LCM(321,9825) = 1051275


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5492/321, 8795/9825

1. 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.

2. What is the GCF of Fractions for 5492/321, 8795/9825?

Answer: GCF of Numerators as per given numbers 5492/321, 8795/9825 is

GCF of Numerators i.e. for 5492,8795 is 1

LCM of denominators i.e. for 321,9825 is 1051275.

Thus, GCF of Fractions is 1/1051275.Finally, GCF of Fractions for 5492/321, 8795/9825 is 1/1051275.