Greatest Common Factor of 8125/409, 9169/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8125/409, 9169/355

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 8125/409,9169/355

Given fractions are 8125/409,9169/355

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 8125,9169

Greatest Common Factor of Numerators i.e. GCF of 8125,9169 is 1 .

LCM of Denominators means LCM of 409,355 as per the given fractions.

LCM of 409,355 is 145195 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8125,9169

GCF of Fractions 8125/409,9169/355 is 1/145195

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

Greatest Common Factor of 8125,9169 By Matching Biggest Common Factor Method

Greatest Common Factor of 8125,9169 By Matching Biggest Common Factor Method

Factors of 8125

List of positive integer factors of 8125 that divides 8125 without a remainder.

1,5,13,25,65,125,325,625,1625,8125

Factors of 9169

List of positive integer factors of 9169 that divides 9169 without a remainder.

1,53,173,9169

Greatest Common Factor

We found the factors 8125,9169 . The biggest common factor number is the GCF number.
So the greatest common factor 8125,9169 is 1.

Lets's calculate LCM of 409,355

Given numbers has no common factors except 1. So, there LCM is their product i.e 145195

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145195

Therefore, the GCF of Fractions 8125/409,9169/355 is 1/145195

Least Common Multiple of 409,355 with GCF Formula

Least Common Multiple of 409,355 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 409,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,355) = 1

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

GCF(409,355) x common factors =1 x 1 = 1

LCM(409,355) = ( 409 × 355 ) / 1

LCM(409,355) = 145195 / 1

LCM(409,355) = 145195


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 8125/409, 9169/355

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 8125/409, 9169/355?

Answer: GCF of Numerators as per given numbers 8125/409, 9169/355 is

GCF of Numerators i.e. for 8125,9169 is 1

LCM of denominators i.e. for 409,355 is 145195.

Thus, GCF of Fractions is 1/145195.Finally, GCF of Fractions for 8125/409, 9169/355 is 1/145195.