Greatest Common Factor of 8110/733, 6690/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8110/733, 6690/694

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 8110/733,6690/694

Given fractions are 8110/733,6690/694

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 8110,6690

Greatest Common Factor of Numerators i.e. GCF of 8110,6690 is 10 .

LCM of Denominators means LCM of 733,694 as per the given fractions.

LCM of 733,694 is 508702 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8110,6690

GCF of Fractions 8110/733,6690/694 is 10/508702

2 8110, 6690
5 4055, 3345
811, 669

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

Greatest Common Factor of 8110,6690 By Matching Biggest Common Factor Method

Greatest Common Factor of 8110,6690 By Matching Biggest Common Factor Method

Factors of 8110

List of positive integer factors of 8110 that divides 8110 without a remainder.

1,2,5,10,811,1622,4055,8110

Factors of 6690

List of positive integer factors of 6690 that divides 6690 without a remainder.

1,2,3,5,6,10,15,30,223,446,669,1115,1338,2230,3345,6690

Greatest Common Factor

We found the factors 8110,6690 . The biggest common factor number is the GCF number.
So the greatest common factor 8110,6690 is 10.

Lets's calculate LCM of 733,694

Given numbers has no common factors except 1. So, there LCM is their product i.e 508702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/508702

Therefore, the GCF of Fractions 8110/733,6690/694 is 10/508702

Least Common Multiple of 733,694 with GCF Formula

Least Common Multiple of 733,694 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 733,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,694) = 1

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

GCF(733,694) x common factors =1 x 1 = 1

LCM(733,694) = ( 733 × 694 ) / 1

LCM(733,694) = 508702 / 1

LCM(733,694) = 508702


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 8110/733, 6690/694

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 8110/733, 6690/694?

Answer: GCF of Numerators as per given numbers 8110/733, 6690/694 is

GCF of Numerators i.e. for 8110,6690 is 10

LCM of denominators i.e. for 733,694 is 508702.

Thus, GCF of Fractions is 10/508702.Finally, GCF of Fractions for 8110/733, 6690/694 is 10/508702.