Greatest Common Factor of 52/409, 4145/8260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/409, 4145/8260

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 52/409,4145/8260

Given fractions are 52/409,4145/8260

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 52,4145

Greatest Common Factor of Numerators i.e. GCF of 52,4145 is 1 .

LCM of Denominators means LCM of 409,8260 as per the given fractions.

LCM of 409,8260 is 3378340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,4145

GCF of Fractions 52/409,4145/8260 is 1/3378340

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

Greatest Common Factor of 52,4145 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,4145 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 4145

List of positive integer factors of 4145 that divides 4145 without a remainder.

1,5,829,4145

Greatest Common Factor

We found the factors 52,4145 . The biggest common factor number is the GCF number.
So the greatest common factor 52,4145 is 1.

Lets's calculate LCM of 409,8260

Given numbers has no common factors except 1. So, there LCM is their product i.e 3378340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3378340

Therefore, the GCF of Fractions 52/409,4145/8260 is 1/3378340

Least Common Multiple of 409,8260 with GCF Formula

Least Common Multiple of 409,8260 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 409,8260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,8260) = 1

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

GCF(409,8260) x common factors =1 x 1 = 1

LCM(409,8260) = ( 409 × 8260 ) / 1

LCM(409,8260) = 3378340 / 1

LCM(409,8260) = 3378340


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 52/409, 4145/8260

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 52/409, 4145/8260?

Answer: GCF of Numerators as per given numbers 52/409, 4145/8260 is

GCF of Numerators i.e. for 52,4145 is 1

LCM of denominators i.e. for 409,8260 is 3378340.

Thus, GCF of Fractions is 1/3378340.Finally, GCF of Fractions for 52/409, 4145/8260 is 1/3378340.