Greatest Common Factor of 4649/178, 3738/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4649/178, 3738/301

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 4649/178,3738/301

Given fractions are 4649/178,3738/301

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 4649,3738

Greatest Common Factor of Numerators i.e. GCF of 4649,3738 is 1 .

LCM of Denominators means LCM of 178,301 as per the given fractions.

LCM of 178,301 is 53578 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4649,3738

GCF of Fractions 4649/178,3738/301 is 1/53578

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

Greatest Common Factor of 4649,3738 By Matching Biggest Common Factor Method

Greatest Common Factor of 4649,3738 By Matching Biggest Common Factor Method

Factors of 4649

List of positive integer factors of 4649 that divides 4649 without a remainder.

1,4649

Factors of 3738

List of positive integer factors of 3738 that divides 3738 without a remainder.

1,2,3,6,7,14,21,42,89,178,267,534,623,1246,1869,3738

Greatest Common Factor

We found the factors 4649,3738 . The biggest common factor number is the GCF number.
So the greatest common factor 4649,3738 is 1.

Lets's calculate LCM of 178,301

Given numbers has no common factors except 1. So, there LCM is their product i.e 53578

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53578

Therefore, the GCF of Fractions 4649/178,3738/301 is 1/53578

Least Common Multiple of 178,301 with GCF Formula

Least Common Multiple of 178,301 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 178,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,301) = 1

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

GCF(178,301) x common factors =1 x 1 = 1

LCM(178,301) = ( 178 × 301 ) / 1

LCM(178,301) = 53578 / 1

LCM(178,301) = 53578


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 4649/178, 3738/301

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 4649/178, 3738/301?

Answer: GCF of Numerators as per given numbers 4649/178, 3738/301 is

GCF of Numerators i.e. for 4649,3738 is 1

LCM of denominators i.e. for 178,301 is 53578.

Thus, GCF of Fractions is 1/53578.Finally, GCF of Fractions for 4649/178, 3738/301 is 1/53578.