Greatest Common Factor of 6644/689, 7180/7103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6644/689, 7180/7103

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 6644/689,7180/7103

Given fractions are 6644/689,7180/7103

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 6644,7180

Greatest Common Factor of Numerators i.e. GCF of 6644,7180 is 4 .

LCM of Denominators means LCM of 689,7103 as per the given fractions.

LCM of 689,7103 is 4893967 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6644,7180

GCF of Fractions 6644/689,7180/7103 is 4/4893967

2 6644, 7180
2 3322, 3590
1661, 1795

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

Greatest Common Factor of 6644,7180 By Matching Biggest Common Factor Method

Greatest Common Factor of 6644,7180 By Matching Biggest Common Factor Method

Factors of 6644

List of positive integer factors of 6644 that divides 6644 without a remainder.

1,2,4,11,22,44,151,302,604,1661,3322,6644

Factors of 7180

List of positive integer factors of 7180 that divides 7180 without a remainder.

1,2,4,5,10,20,359,718,1436,1795,3590,7180

Greatest Common Factor

We found the factors 6644,7180 . The biggest common factor number is the GCF number.
So the greatest common factor 6644,7180 is 4.

Lets's calculate LCM of 689,7103

Given numbers has no common factors except 1. So, there LCM is their product i.e 4893967

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4893967

Therefore, the GCF of Fractions 6644/689,7180/7103 is 4/4893967

Least Common Multiple of 689,7103 with GCF Formula

Least Common Multiple of 689,7103 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 689,7103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,7103) = 1

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

GCF(689,7103) x common factors =1 x 1 = 1

LCM(689,7103) = ( 689 × 7103 ) / 1

LCM(689,7103) = 4893967 / 1

LCM(689,7103) = 4893967


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 6644/689, 7180/7103

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 6644/689, 7180/7103?

Answer: GCF of Numerators as per given numbers 6644/689, 7180/7103 is

GCF of Numerators i.e. for 6644,7180 is 4

LCM of denominators i.e. for 689,7103 is 4893967.

Thus, GCF of Fractions is 4/4893967.Finally, GCF of Fractions for 6644/689, 7180/7103 is 4/4893967.