Greatest Common Factor of 6886/421, 1535/7496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 6886/421, 1535/7496

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 6886/421,1535/7496

Given fractions are 6886/421,1535/7496

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 6886,1535

Greatest Common Factor of Numerators i.e. GCF of 6886,1535 is 1 .

LCM of Denominators means LCM of 421,7496 as per the given fractions.

LCM of 421,7496 is 3155816 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6886,1535

GCF of Fractions 6886/421,1535/7496 is 1/3155816

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

Greatest Common Factor of 6886,1535 By Matching Biggest Common Factor Method

Greatest Common Factor of 6886,1535 By Matching Biggest Common Factor Method

Factors of 6886

List of positive integer factors of 6886 that divides 6886 without a remainder.

1,2,11,22,313,626,3443,6886

Factors of 1535

List of positive integer factors of 1535 that divides 1535 without a remainder.

1,5,307,1535

Greatest Common Factor

We found the factors 6886,1535 . The biggest common factor number is the GCF number.
So the greatest common factor 6886,1535 is 1.


Lets's calculate LCM of 421,7496

Given numbers has no common factors except 1. So, there LCM is their product i.e 3155816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3155816

Therefore, the GCF of Fractions 6886/421,1535/7496 is 1/3155816

Least Common Multiple of 421,7496 with GCF Formula

Least Common Multiple of 421,7496 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 421,7496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,7496) = 1

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

GCF(421,7496) x common factors =1 x 1 = 1

LCM(421,7496) = ( 421 × 7496 ) / 1

LCM(421,7496) = 3155816 / 1

LCM(421,7496) = 3155816


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 6886/421, 1535/7496

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 6886/421, 1535/7496?

Answer: GCF of Numerators as per given numbers 6886/421, 1535/7496 is

GCF of Numerators i.e. for 6886,1535 is 1

LCM of denominators i.e. for 421,7496 is 3155816.

Thus, GCF of Fractions is 1/3155816.Finally, GCF of Fractions for 6886/421, 1535/7496 is 1/3155816.