Greatest Common Factor of 4199/737, 2755/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4199/737, 2755/465

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 4199/737,2755/465

Given fractions are 4199/737,2755/465

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 4199,2755

Greatest Common Factor of Numerators i.e. GCF of 4199,2755 is 19 .

LCM of Denominators means LCM of 737,465 as per the given fractions.

LCM of 737,465 is 342705 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4199,2755

GCF of Fractions 4199/737,2755/465 is 19/342705

19 4199, 2755
221, 145

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 4199,2755 By Matching Biggest Common Factor Method

Greatest Common Factor of 4199,2755 By Matching Biggest Common Factor Method

Factors of 4199

List of positive integer factors of 4199 that divides 4199 without a remainder.

1,13,17,19,221,247,323,4199

Factors of 2755

List of positive integer factors of 2755 that divides 2755 without a remainder.

1,5,19,29,95,145,551,2755

Greatest Common Factor

We found the factors 4199,2755 . The biggest common factor number is the GCF number.
So the greatest common factor 4199,2755 is 19.

Lets's calculate LCM of 737,465

Given numbers has no common factors except 1. So, there LCM is their product i.e 342705

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/342705

Therefore, the GCF of Fractions 4199/737,2755/465 is 19/342705

Least Common Multiple of 737,465 with GCF Formula

Least Common Multiple of 737,465 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 737,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(737,465) = 1

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

GCF(737,465) x common factors =1 x 1 = 1

LCM(737,465) = ( 737 × 465 ) / 1

LCM(737,465) = 342705 / 1

LCM(737,465) = 342705


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 4199/737, 2755/465

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 4199/737, 2755/465?

Answer: GCF of Numerators as per given numbers 4199/737, 2755/465 is

GCF of Numerators i.e. for 4199,2755 is 19

LCM of denominators i.e. for 737,465 is 342705.

Thus, GCF of Fractions is 19/342705.Finally, GCF of Fractions for 4199/737, 2755/465 is 19/342705.