Greatest Common Factor of 4850/106, 1258/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4850/106, 1258/243

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 4850/106,1258/243

Given fractions are 4850/106,1258/243

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 4850,1258

Greatest Common Factor of Numerators i.e. GCF of 4850,1258 is 2 .

LCM of Denominators means LCM of 106,243 as per the given fractions.

LCM of 106,243 is 25758 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4850,1258

GCF of Fractions 4850/106,1258/243 is 2/25758

2 4850, 1258
2425, 629

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

Greatest Common Factor of 4850,1258 By Matching Biggest Common Factor Method

Greatest Common Factor of 4850,1258 By Matching Biggest Common Factor Method

Factors of 4850

List of positive integer factors of 4850 that divides 4850 without a remainder.

1,2,5,10,25,50,97,194,485,970,2425,4850

Factors of 1258

List of positive integer factors of 1258 that divides 1258 without a remainder.

1,2,17,34,37,74,629,1258

Greatest Common Factor

We found the factors 4850,1258 . The biggest common factor number is the GCF number.
So the greatest common factor 4850,1258 is 2.

Lets's calculate LCM of 106,243

Given numbers has no common factors except 1. So, there LCM is their product i.e 25758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25758

Therefore, the GCF of Fractions 4850/106,1258/243 is 2/25758

Least Common Multiple of 106,243 with GCF Formula

Least Common Multiple of 106,243 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 106,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,243) = 1

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

GCF(106,243) x common factors =1 x 1 = 1

LCM(106,243) = ( 106 × 243 ) / 1

LCM(106,243) = 25758 / 1

LCM(106,243) = 25758


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 4850/106, 1258/243

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 4850/106, 1258/243?

Answer: GCF of Numerators as per given numbers 4850/106, 1258/243 is

GCF of Numerators i.e. for 4850,1258 is 2

LCM of denominators i.e. for 106,243 is 25758.

Thus, GCF of Fractions is 2/25758.Finally, GCF of Fractions for 4850/106, 1258/243 is 2/25758.