Greatest Common Factor of 2440/993, 8357/8965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2440/993, 8357/8965

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 2440/993,8357/8965

Given fractions are 2440/993,8357/8965

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 2440,8357

Greatest Common Factor of Numerators i.e. GCF of 2440,8357 is 61 .

LCM of Denominators means LCM of 993,8965 as per the given fractions.

LCM of 993,8965 is 8902245 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2440,8357

GCF of Fractions 2440/993,8357/8965 is 61/8902245

61 2440, 8357
40, 137

∴ So the GCF of the given numbers is 61 = 61

Greatest Common Factor of 2440,8357 By Matching Biggest Common Factor Method

Greatest Common Factor of 2440,8357 By Matching Biggest Common Factor Method

Factors of 2440

List of positive integer factors of 2440 that divides 2440 without a remainder.

1,2,4,5,8,10,20,40,61,122,244,305,488,610,1220,2440

Factors of 8357

List of positive integer factors of 8357 that divides 8357 without a remainder.

1,61,137,8357

Greatest Common Factor

We found the factors 2440,8357 . The biggest common factor number is the GCF number.
So the greatest common factor 2440,8357 is 61.

Lets's calculate LCM of 993,8965

Given numbers has no common factors except 1. So, there LCM is their product i.e 8902245

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/8902245

Therefore, the GCF of Fractions 2440/993,8357/8965 is 61/8902245

Least Common Multiple of 993,8965 with GCF Formula

Least Common Multiple of 993,8965 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 993,8965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,8965) = 1

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

GCF(993,8965) x common factors =1 x 1 = 1

LCM(993,8965) = ( 993 × 8965 ) / 1

LCM(993,8965) = 8902245 / 1

LCM(993,8965) = 8902245


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 2440/993, 8357/8965

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 2440/993, 8357/8965?

Answer: GCF of Numerators as per given numbers 2440/993, 8357/8965 is

GCF of Numerators i.e. for 2440,8357 is 61

LCM of denominators i.e. for 993,8965 is 8902245.

Thus, GCF of Fractions is 61/8902245.Finally, GCF of Fractions for 2440/993, 8357/8965 is 61/8902245.