Greatest Common Factor of 747/689, 9945/6689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 747/689, 9945/6689

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 747/689,9945/6689

Given fractions are 747/689,9945/6689

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 747,9945

Greatest Common Factor of Numerators i.e. GCF of 747,9945 is 9 .

LCM of Denominators means LCM of 689,6689 as per the given fractions.

LCM of 689,6689 is 4608721 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 747,9945

GCF of Fractions 747/689,9945/6689 is 9/4608721

3 747, 9945
3 249, 3315
83, 1105

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 747,9945 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,9945 By Matching Biggest Common Factor Method

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 9945

List of positive integer factors of 9945 that divides 9945 without a remainder.

1,3,5,9,13,15,17,39,45,51,65,85,117,153,195,221,255,585,663,765,1105,1989,3315,9945

Greatest Common Factor

We found the factors 747,9945 . The biggest common factor number is the GCF number.
So the greatest common factor 747,9945 is 9.

Lets's calculate LCM of 689,6689

Given numbers has no common factors except 1. So, there LCM is their product i.e 4608721

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/4608721

Therefore, the GCF of Fractions 747/689,9945/6689 is 9/4608721

Least Common Multiple of 689,6689 with GCF Formula

Least Common Multiple of 689,6689 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 689,6689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,6689) = 1

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

GCF(689,6689) x common factors =1 x 1 = 1

LCM(689,6689) = ( 689 × 6689 ) / 1

LCM(689,6689) = 4608721 / 1

LCM(689,6689) = 4608721


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 747/689, 9945/6689

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 747/689, 9945/6689?

Answer: GCF of Numerators as per given numbers 747/689, 9945/6689 is

GCF of Numerators i.e. for 747,9945 is 9

LCM of denominators i.e. for 689,6689 is 4608721.

Thus, GCF of Fractions is 9/4608721.Finally, GCF of Fractions for 747/689, 9945/6689 is 9/4608721.