Greatest Common Factor of 6460/65, 6670/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6460/65, 6670/128

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 6460/65,6670/128

Given fractions are 6460/65,6670/128

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 6460,6670

Greatest Common Factor of Numerators i.e. GCF of 6460,6670 is 10 .

LCM of Denominators means LCM of 65,128 as per the given fractions.

LCM of 65,128 is 8320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6460,6670

GCF of Fractions 6460/65,6670/128 is 10/8320

2 6460, 6670
5 3230, 3335
646, 667

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 6460,6670 By Matching Biggest Common Factor Method

Greatest Common Factor of 6460,6670 By Matching Biggest Common Factor Method

Factors of 6460

List of positive integer factors of 6460 that divides 6460 without a remainder.

1,2,4,5,10,17,19,20,34,38,68,76,85,95,170,190,323,340,380,646,1292,1615,3230,6460

Factors of 6670

List of positive integer factors of 6670 that divides 6670 without a remainder.

1,2,5,10,23,29,46,58,115,145,230,290,667,1334,3335,6670

Greatest Common Factor

We found the factors 6460,6670 . The biggest common factor number is the GCF number.
So the greatest common factor 6460,6670 is 10.

Lets's calculate LCM of 65,128

Given numbers has no common factors except 1. So, there LCM is their product i.e 8320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/8320

Therefore, the GCF of Fractions 6460/65,6670/128 is 10/8320

Least Common Multiple of 65,128 with GCF Formula

Least Common Multiple of 65,128 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 65,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,128) = 1

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

GCF(65,128) x common factors =1 x 1 = 1

LCM(65,128) = ( 65 × 128 ) / 1

LCM(65,128) = 8320 / 1

LCM(65,128) = 8320


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 6460/65, 6670/128

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 6460/65, 6670/128?

Answer: GCF of Numerators as per given numbers 6460/65, 6670/128 is

GCF of Numerators i.e. for 6460,6670 is 10

LCM of denominators i.e. for 65,128 is 8320.

Thus, GCF of Fractions is 10/8320.Finally, GCF of Fractions for 6460/65, 6670/128 is 10/8320.