Greatest Common Factor of 4147/407, 6003/9950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4147/407, 6003/9950

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 4147/407,6003/9950

Given fractions are 4147/407,6003/9950

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 4147,6003

Greatest Common Factor of Numerators i.e. GCF of 4147,6003 is 29 .

LCM of Denominators means LCM of 407,9950 as per the given fractions.

LCM of 407,9950 is 4049650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4147,6003

GCF of Fractions 4147/407,6003/9950 is 29/4049650

29 4147, 6003
143, 207

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 4147,6003 By Matching Biggest Common Factor Method

Greatest Common Factor of 4147,6003 By Matching Biggest Common Factor Method

Factors of 4147

List of positive integer factors of 4147 that divides 4147 without a remainder.

1,11,13,29,143,319,377,4147

Factors of 6003

List of positive integer factors of 6003 that divides 6003 without a remainder.

1,3,9,23,29,69,87,207,261,667,2001,6003

Greatest Common Factor

We found the factors 4147,6003 . The biggest common factor number is the GCF number.
So the greatest common factor 4147,6003 is 29.

Lets's calculate LCM of 407,9950

Given numbers has no common factors except 1. So, there LCM is their product i.e 4049650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/4049650

Therefore, the GCF of Fractions 4147/407,6003/9950 is 29/4049650

Least Common Multiple of 407,9950 with GCF Formula

Least Common Multiple of 407,9950 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 407,9950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,9950) = 1

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

GCF(407,9950) x common factors =1 x 1 = 1

LCM(407,9950) = ( 407 × 9950 ) / 1

LCM(407,9950) = 4049650 / 1

LCM(407,9950) = 4049650


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 4147/407, 6003/9950

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 4147/407, 6003/9950?

Answer: GCF of Numerators as per given numbers 4147/407, 6003/9950 is

GCF of Numerators i.e. for 4147,6003 is 29

LCM of denominators i.e. for 407,9950 is 4049650.

Thus, GCF of Fractions is 29/4049650.Finally, GCF of Fractions for 4147/407, 6003/9950 is 29/4049650.