Greatest Common Factor of 1773/49, 3999/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1773/49, 3999/909

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 1773/49,3999/909

Given fractions are 1773/49,3999/909

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 1773,3999

Greatest Common Factor of Numerators i.e. GCF of 1773,3999 is 3 .

LCM of Denominators means LCM of 49,909 as per the given fractions.

LCM of 49,909 is 44541 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1773,3999

GCF of Fractions 1773/49,3999/909 is 3/44541

3 1773, 3999
591, 1333

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1773,3999 By Matching Biggest Common Factor Method

Greatest Common Factor of 1773,3999 By Matching Biggest Common Factor Method

Factors of 1773

List of positive integer factors of 1773 that divides 1773 without a remainder.

1,3,9,197,591,1773

Factors of 3999

List of positive integer factors of 3999 that divides 3999 without a remainder.

1,3,31,43,93,129,1333,3999

Greatest Common Factor

We found the factors 1773,3999 . The biggest common factor number is the GCF number.
So the greatest common factor 1773,3999 is 3.

Lets's calculate LCM of 49,909

Given numbers has no common factors except 1. So, there LCM is their product i.e 44541

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/44541

Therefore, the GCF of Fractions 1773/49,3999/909 is 3/44541

Least Common Multiple of 49,909 with GCF Formula

Least Common Multiple of 49,909 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 49,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,909) = 1

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

GCF(49,909) x common factors =1 x 1 = 1

LCM(49,909) = ( 49 × 909 ) / 1

LCM(49,909) = 44541 / 1

LCM(49,909) = 44541


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 1773/49, 3999/909

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 1773/49, 3999/909?

Answer: GCF of Numerators as per given numbers 1773/49, 3999/909 is

GCF of Numerators i.e. for 1773,3999 is 3

LCM of denominators i.e. for 49,909 is 44541.

Thus, GCF of Fractions is 3/44541.Finally, GCF of Fractions for 1773/49, 3999/909 is 3/44541.