Greatest Common Factor of 5450/63, 5109/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5450/63, 5109/199

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 5450/63,5109/199

Given fractions are 5450/63,5109/199

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 5450,5109

Greatest Common Factor of Numerators i.e. GCF of 5450,5109 is 1 .

LCM of Denominators means LCM of 63,199 as per the given fractions.

LCM of 63,199 is 12537 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5450,5109

GCF of Fractions 5450/63,5109/199 is 1/12537

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

Greatest Common Factor of 5450,5109 By Matching Biggest Common Factor Method

Greatest Common Factor of 5450,5109 By Matching Biggest Common Factor Method

Factors of 5450

List of positive integer factors of 5450 that divides 5450 without a remainder.

1,2,5,10,25,50,109,218,545,1090,2725,5450

Factors of 5109

List of positive integer factors of 5109 that divides 5109 without a remainder.

1,3,13,39,131,393,1703,5109

Greatest Common Factor

We found the factors 5450,5109 . The biggest common factor number is the GCF number.
So the greatest common factor 5450,5109 is 1.

Lets's calculate LCM of 63,199

Given numbers has no common factors except 1. So, there LCM is their product i.e 12537

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12537

Therefore, the GCF of Fractions 5450/63,5109/199 is 1/12537

Least Common Multiple of 63,199 with GCF Formula

Least Common Multiple of 63,199 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 63,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,199) = 1

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

GCF(63,199) x common factors =1 x 1 = 1

LCM(63,199) = ( 63 × 199 ) / 1

LCM(63,199) = 12537 / 1

LCM(63,199) = 12537


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 5450/63, 5109/199

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 5450/63, 5109/199?

Answer: GCF of Numerators as per given numbers 5450/63, 5109/199 is

GCF of Numerators i.e. for 5450,5109 is 1

LCM of denominators i.e. for 63,199 is 12537.

Thus, GCF of Fractions is 1/12537.Finally, GCF of Fractions for 5450/63, 5109/199 is 1/12537.