Greatest Common Factor of 8209/424, 7906/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8209/424, 7906/825

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 8209/424,7906/825

Given fractions are 8209/424,7906/825

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 8209,7906

Greatest Common Factor of Numerators i.e. GCF of 8209,7906 is 1 .

LCM of Denominators means LCM of 424,825 as per the given fractions.

LCM of 424,825 is 349800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8209,7906

GCF of Fractions 8209/424,7906/825 is 1/349800

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

Greatest Common Factor of 8209,7906 By Matching Biggest Common Factor Method

Greatest Common Factor of 8209,7906 By Matching Biggest Common Factor Method

Factors of 8209

List of positive integer factors of 8209 that divides 8209 without a remainder.

1,8209

Factors of 7906

List of positive integer factors of 7906 that divides 7906 without a remainder.

1,2,59,67,118,134,3953,7906

Greatest Common Factor

We found the factors 8209,7906 . The biggest common factor number is the GCF number.
So the greatest common factor 8209,7906 is 1.

Lets's calculate LCM of 424,825

Given numbers has no common factors except 1. So, there LCM is their product i.e 349800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/349800

Therefore, the GCF of Fractions 8209/424,7906/825 is 1/349800

Least Common Multiple of 424,825 with GCF Formula

Least Common Multiple of 424,825 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 424,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,825) = 1

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

GCF(424,825) x common factors =1 x 1 = 1

LCM(424,825) = ( 424 × 825 ) / 1

LCM(424,825) = 349800 / 1

LCM(424,825) = 349800


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 8209/424, 7906/825

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 8209/424, 7906/825?

Answer: GCF of Numerators as per given numbers 8209/424, 7906/825 is

GCF of Numerators i.e. for 8209,7906 is 1

LCM of denominators i.e. for 424,825 is 349800.

Thus, GCF of Fractions is 1/349800.Finally, GCF of Fractions for 8209/424, 7906/825 is 1/349800.