Greatest Common Factor of 8470/320, 6465/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8470/320, 6465/749

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 8470/320,6465/749

Given fractions are 8470/320,6465/749

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 8470,6465

Greatest Common Factor of Numerators i.e. GCF of 8470,6465 is 5 .

LCM of Denominators means LCM of 320,749 as per the given fractions.

LCM of 320,749 is 239680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8470,6465

GCF of Fractions 8470/320,6465/749 is 5/239680

5 8470, 6465
1694, 1293

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

Greatest Common Factor of 8470,6465 By Matching Biggest Common Factor Method

Greatest Common Factor of 8470,6465 By Matching Biggest Common Factor Method

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

Factors of 6465

List of positive integer factors of 6465 that divides 6465 without a remainder.

1,3,5,15,431,1293,2155,6465

Greatest Common Factor

We found the factors 8470,6465 . The biggest common factor number is the GCF number.
So the greatest common factor 8470,6465 is 5.

Lets's calculate LCM of 320,749

Given numbers has no common factors except 1. So, there LCM is their product i.e 239680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/239680

Therefore, the GCF of Fractions 8470/320,6465/749 is 5/239680

Least Common Multiple of 320,749 with GCF Formula

Least Common Multiple of 320,749 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 320,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,749) = 1

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

GCF(320,749) x common factors =1 x 1 = 1

LCM(320,749) = ( 320 × 749 ) / 1

LCM(320,749) = 239680 / 1

LCM(320,749) = 239680


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 8470/320, 6465/749

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 8470/320, 6465/749?

Answer: GCF of Numerators as per given numbers 8470/320, 6465/749 is

GCF of Numerators i.e. for 8470,6465 is 5

LCM of denominators i.e. for 320,749 is 239680.

Thus, GCF of Fractions is 5/239680.Finally, GCF of Fractions for 8470/320, 6465/749 is 5/239680.