Greatest Common Factor of 6429/826, 3288/4105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6429/826, 3288/4105

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 6429/826,3288/4105

Given fractions are 6429/826,3288/4105

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 6429,3288

Greatest Common Factor of Numerators i.e. GCF of 6429,3288 is 3 .

LCM of Denominators means LCM of 826,4105 as per the given fractions.

LCM of 826,4105 is 3390730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6429,3288

GCF of Fractions 6429/826,3288/4105 is 3/3390730

3 6429, 3288
2143, 1096

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6429,3288 By Matching Biggest Common Factor Method

Greatest Common Factor of 6429,3288 By Matching Biggest Common Factor Method

Factors of 6429

List of positive integer factors of 6429 that divides 6429 without a remainder.

1,3,2143,6429

Factors of 3288

List of positive integer factors of 3288 that divides 3288 without a remainder.

1,2,3,4,6,8,12,24,137,274,411,548,822,1096,1644,3288

Greatest Common Factor

We found the factors 6429,3288 . The biggest common factor number is the GCF number.
So the greatest common factor 6429,3288 is 3.

Lets's calculate LCM of 826,4105

Given numbers has no common factors except 1. So, there LCM is their product i.e 3390730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3390730

Therefore, the GCF of Fractions 6429/826,3288/4105 is 3/3390730

Least Common Multiple of 826,4105 with GCF Formula

Least Common Multiple of 826,4105 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 826,4105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,4105) = 1

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

GCF(826,4105) x common factors =1 x 1 = 1

LCM(826,4105) = ( 826 × 4105 ) / 1

LCM(826,4105) = 3390730 / 1

LCM(826,4105) = 3390730


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 6429/826, 3288/4105

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 6429/826, 3288/4105?

Answer: GCF of Numerators as per given numbers 6429/826, 3288/4105 is

GCF of Numerators i.e. for 6429,3288 is 3

LCM of denominators i.e. for 826,4105 is 3390730.

Thus, GCF of Fractions is 3/3390730.Finally, GCF of Fractions for 6429/826, 3288/4105 is 3/3390730.