Greatest Common Factor of 2665/497, 8470/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2665/497, 8470/409

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 2665/497,8470/409

Given fractions are 2665/497,8470/409

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 2665,8470

Greatest Common Factor of Numerators i.e. GCF of 2665,8470 is 5 .

LCM of Denominators means LCM of 497,409 as per the given fractions.

LCM of 497,409 is 203273 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2665,8470

GCF of Fractions 2665/497,8470/409 is 5/203273

5 2665, 8470
533, 1694

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2665,8470 By Matching Biggest Common Factor Method

Greatest Common Factor of 2665,8470 By Matching Biggest Common Factor Method

Factors of 2665

List of positive integer factors of 2665 that divides 2665 without a remainder.

1,5,13,41,65,205,533,2665

Factors of 8470

List of positive integer factors of 8470 that divides 8470 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,121,154,242,385,605,770,847,1210,1694,4235,8470

Greatest Common Factor

We found the factors 2665,8470 . The biggest common factor number is the GCF number.
So the greatest common factor 2665,8470 is 5.

Lets's calculate LCM of 497,409

Given numbers has no common factors except 1. So, there LCM is their product i.e 203273

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/203273

Therefore, the GCF of Fractions 2665/497,8470/409 is 5/203273

Least Common Multiple of 497,409 with GCF Formula

Least Common Multiple of 497,409 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 497,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,409) = 1

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

GCF(497,409) x common factors =1 x 1 = 1

LCM(497,409) = ( 497 × 409 ) / 1

LCM(497,409) = 203273 / 1

LCM(497,409) = 203273


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 2665/497, 8470/409

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 2665/497, 8470/409?

Answer: GCF of Numerators as per given numbers 2665/497, 8470/409 is

GCF of Numerators i.e. for 2665,8470 is 5

LCM of denominators i.e. for 497,409 is 203273.

Thus, GCF of Fractions is 5/203273.Finally, GCF of Fractions for 2665/497, 8470/409 is 5/203273.