Greatest Common Factor of 4852/809, 5192/5426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4852/809, 5192/5426

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 4852/809,5192/5426

Given fractions are 4852/809,5192/5426

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 4852,5192

Greatest Common Factor of Numerators i.e. GCF of 4852,5192 is 4 .

LCM of Denominators means LCM of 809,5426 as per the given fractions.

LCM of 809,5426 is 4389634 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4852,5192

GCF of Fractions 4852/809,5192/5426 is 4/4389634

2 4852, 5192
2 2426, 2596
1213, 1298

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4852,5192 By Matching Biggest Common Factor Method

Greatest Common Factor of 4852,5192 By Matching Biggest Common Factor Method

Factors of 4852

List of positive integer factors of 4852 that divides 4852 without a remainder.

1,2,4,1213,2426,4852

Factors of 5192

List of positive integer factors of 5192 that divides 5192 without a remainder.

1,2,4,8,11,22,44,59,88,118,236,472,649,1298,2596,5192

Greatest Common Factor

We found the factors 4852,5192 . The biggest common factor number is the GCF number.
So the greatest common factor 4852,5192 is 4.

Lets's calculate LCM of 809,5426

Given numbers has no common factors except 1. So, there LCM is their product i.e 4389634

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4389634

Therefore, the GCF of Fractions 4852/809,5192/5426 is 4/4389634

Least Common Multiple of 809,5426 with GCF Formula

Least Common Multiple of 809,5426 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 809,5426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,5426) = 1

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

GCF(809,5426) x common factors =1 x 1 = 1

LCM(809,5426) = ( 809 × 5426 ) / 1

LCM(809,5426) = 4389634 / 1

LCM(809,5426) = 4389634


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 4852/809, 5192/5426

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 4852/809, 5192/5426?

Answer: GCF of Numerators as per given numbers 4852/809, 5192/5426 is

GCF of Numerators i.e. for 4852,5192 is 4

LCM of denominators i.e. for 809,5426 is 4389634.

Thus, GCF of Fractions is 4/4389634.Finally, GCF of Fractions for 4852/809, 5192/5426 is 4/4389634.