Greatest Common Factor of 6460/699, 3476/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6460/699, 3476/618

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 6460/699,3476/618

Given fractions are 6460/699,3476/618

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 6460,3476

Greatest Common Factor of Numerators i.e. GCF of 6460,3476 is 4 .

LCM of Denominators means LCM of 699,618 as per the given fractions.

LCM of 699,618 is 143994 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6460,3476

GCF of Fractions 6460/699,3476/618 is 4/143994

2 6460, 3476
2 3230, 1738
1615, 869

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6460,3476 By Matching Biggest Common Factor Method

Greatest Common Factor of 6460,3476 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 3476

List of positive integer factors of 3476 that divides 3476 without a remainder.

1,2,4,11,22,44,79,158,316,869,1738,3476

Greatest Common Factor

We found the factors 6460,3476 . The biggest common factor number is the GCF number.
So the greatest common factor 6460,3476 is 4.

Lets's calculate LCM of 699,618

3 699, 618
233, 206

∴ So the LCM of the given numbers is 3 x 233 x 206 = 143994

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/143994

Therefore, the GCF of Fractions 6460/699,3476/618 is 4/143994

Least Common Multiple of 699,618 with GCF Formula

Least Common Multiple of 699,618 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 699,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,618) = 3

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

GCF(699,618) x common factors =3 x 1 = 3

LCM(699,618) = ( 699 × 618 ) / 3

LCM(699,618) = 431982 / 3

LCM(699,618) = 143994


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 6460/699, 3476/618

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 6460/699, 3476/618?

Answer: GCF of Numerators as per given numbers 6460/699, 3476/618 is

GCF of Numerators i.e. for 6460,3476 is 4

LCM of denominators i.e. for 699,618 is 143994.

Thus, GCF of Fractions is 4/143994.Finally, GCF of Fractions for 6460/699, 3476/618 is 4/143994.