Greatest Common Factor of 8246/105, 7069/8463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8246/105, 7069/8463

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 8246/105,7069/8463

Given fractions are 8246/105,7069/8463

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 8246,7069

Greatest Common Factor of Numerators i.e. GCF of 8246,7069 is 1 .

LCM of Denominators means LCM of 105,8463 as per the given fractions.

LCM of 105,8463 is 42315 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8246,7069

GCF of Fractions 8246/105,7069/8463 is 1/42315

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

Greatest Common Factor of 8246,7069 By Matching Biggest Common Factor Method

Greatest Common Factor of 8246,7069 By Matching Biggest Common Factor Method

Factors of 8246

List of positive integer factors of 8246 that divides 8246 without a remainder.

1,2,7,14,19,31,38,62,133,217,266,434,589,1178,4123,8246

Factors of 7069

List of positive integer factors of 7069 that divides 7069 without a remainder.

1,7069

Greatest Common Factor

We found the factors 8246,7069 . The biggest common factor number is the GCF number.
So the greatest common factor 8246,7069 is 1.

Lets's calculate LCM of 105,8463

3 105, 8463
7 35, 2821
5, 403

∴ So the LCM of the given numbers is 3 x 7 x 5 x 403 = 42315

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42315

Therefore, the GCF of Fractions 8246/105,7069/8463 is 1/42315

Least Common Multiple of 105,8463 with GCF Formula

Least Common Multiple of 105,8463 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 105,8463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,8463) = 21

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

GCF(105,8463) x common factors =21 x 1 = 21

LCM(105,8463) = ( 105 × 8463 ) / 21

LCM(105,8463) = 888615 / 21

LCM(105,8463) = 42315


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 8246/105, 7069/8463

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 8246/105, 7069/8463?

Answer: GCF of Numerators as per given numbers 8246/105, 7069/8463 is

GCF of Numerators i.e. for 8246,7069 is 1

LCM of denominators i.e. for 105,8463 is 42315.

Thus, GCF of Fractions is 1/42315.Finally, GCF of Fractions for 8246/105, 7069/8463 is 1/42315.