Greatest Common Factor of 863/953, 6730/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 863/953, 6730/706

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 863/953,6730/706

Given fractions are 863/953,6730/706

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 863,6730

Greatest Common Factor of Numerators i.e. GCF of 863,6730 is 1 .

LCM of Denominators means LCM of 953,706 as per the given fractions.

LCM of 953,706 is 672818 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 863,6730

GCF of Fractions 863/953,6730/706 is 1/672818

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 863,6730 By Matching Biggest Common Factor Method

Greatest Common Factor of 863,6730 By Matching Biggest Common Factor Method

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 6730

List of positive integer factors of 6730 that divides 6730 without a remainder.

1,2,5,10,673,1346,3365,6730

Greatest Common Factor

We found the factors 863,6730 . The biggest common factor number is the GCF number.
So the greatest common factor 863,6730 is 1.

Lets's calculate LCM of 953,706

Given numbers has no common factors except 1. So, there LCM is their product i.e 672818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/672818

Therefore, the GCF of Fractions 863/953,6730/706 is 1/672818

Least Common Multiple of 953,706 with GCF Formula

Least Common Multiple of 953,706 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 953,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(953,706) = 1

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

GCF(953,706) x common factors =1 x 1 = 1

LCM(953,706) = ( 953 × 706 ) / 1

LCM(953,706) = 672818 / 1

LCM(953,706) = 672818


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 863/953, 6730/706

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 863/953, 6730/706?

Answer: GCF of Numerators as per given numbers 863/953, 6730/706 is

GCF of Numerators i.e. for 863,6730 is 1

LCM of denominators i.e. for 953,706 is 672818.

Thus, GCF of Fractions is 1/672818.Finally, GCF of Fractions for 863/953, 6730/706 is 1/672818.