Greatest Common Factor of 4819/485, 1251/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4819/485, 1251/254

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 4819/485,1251/254

Given fractions are 4819/485,1251/254

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 4819,1251

Greatest Common Factor of Numerators i.e. GCF of 4819,1251 is 1 .

LCM of Denominators means LCM of 485,254 as per the given fractions.

LCM of 485,254 is 123190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4819,1251

GCF of Fractions 4819/485,1251/254 is 1/123190

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

Greatest Common Factor of 4819,1251 By Matching Biggest Common Factor Method

Greatest Common Factor of 4819,1251 By Matching Biggest Common Factor Method

Factors of 4819

List of positive integer factors of 4819 that divides 4819 without a remainder.

1,61,79,4819

Factors of 1251

List of positive integer factors of 1251 that divides 1251 without a remainder.

1,3,9,139,417,1251

Greatest Common Factor

We found the factors 4819,1251 . The biggest common factor number is the GCF number.
So the greatest common factor 4819,1251 is 1.

Lets's calculate LCM of 485,254

Given numbers has no common factors except 1. So, there LCM is their product i.e 123190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123190

Therefore, the GCF of Fractions 4819/485,1251/254 is 1/123190

Least Common Multiple of 485,254 with GCF Formula

Least Common Multiple of 485,254 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 485,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,254) = 1

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

GCF(485,254) x common factors =1 x 1 = 1

LCM(485,254) = ( 485 × 254 ) / 1

LCM(485,254) = 123190 / 1

LCM(485,254) = 123190


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 4819/485, 1251/254

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 4819/485, 1251/254?

Answer: GCF of Numerators as per given numbers 4819/485, 1251/254 is

GCF of Numerators i.e. for 4819,1251 is 1

LCM of denominators i.e. for 485,254 is 123190.

Thus, GCF of Fractions is 1/123190.Finally, GCF of Fractions for 4819/485, 1251/254 is 1/123190.