Greatest Common Factor of 8463/695, 6983/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8463/695, 6983/825

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 8463/695,6983/825

Given fractions are 8463/695,6983/825

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 8463,6983

Greatest Common Factor of Numerators i.e. GCF of 8463,6983 is 1 .

LCM of Denominators means LCM of 695,825 as per the given fractions.

LCM of 695,825 is 114675 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8463,6983

GCF of Fractions 8463/695,6983/825 is 1/114675

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

Greatest Common Factor of 8463,6983 By Matching Biggest Common Factor Method

Greatest Common Factor of 8463,6983 By Matching Biggest Common Factor Method

Factors of 8463

List of positive integer factors of 8463 that divides 8463 without a remainder.

1,3,7,13,21,31,39,91,93,217,273,403,651,1209,2821,8463

Factors of 6983

List of positive integer factors of 6983 that divides 6983 without a remainder.

1,6983

Greatest Common Factor

We found the factors 8463,6983 . The biggest common factor number is the GCF number.
So the greatest common factor 8463,6983 is 1.

Lets's calculate LCM of 695,825

5 695, 825
139, 165

∴ So the LCM of the given numbers is 5 x 139 x 165 = 114675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114675

Therefore, the GCF of Fractions 8463/695,6983/825 is 1/114675

Least Common Multiple of 695,825 with GCF Formula

Least Common Multiple of 695,825 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 695,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,825) = 5

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

GCF(695,825) x common factors =5 x 1 = 5

LCM(695,825) = ( 695 × 825 ) / 5

LCM(695,825) = 573375 / 5

LCM(695,825) = 114675


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 8463/695, 6983/825

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 8463/695, 6983/825?

Answer: GCF of Numerators as per given numbers 8463/695, 6983/825 is

GCF of Numerators i.e. for 8463,6983 is 1

LCM of denominators i.e. for 695,825 is 114675.

Thus, GCF of Fractions is 1/114675.Finally, GCF of Fractions for 8463/695, 6983/825 is 1/114675.