Greatest Common Factor of 407/3089, 198/4934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 407/3089, 198/4934

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 407/3089,198/4934

Given fractions are 407/3089,198/4934

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 407,198

Greatest Common Factor of Numerators i.e. GCF of 407,198 is 11 .

LCM of Denominators means LCM of 3089,4934 as per the given fractions.

LCM of 3089,4934 is 15241126 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 407,198

GCF of Fractions 407/3089,198/4934 is 11/15241126

11 407, 198
37, 18

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 407,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,198 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 407,198 . The biggest common factor number is the GCF number.
So the greatest common factor 407,198 is 11.

Lets's calculate LCM of 3089,4934

Given numbers has no common factors except 1. So, there LCM is their product i.e 15241126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/15241126

Therefore, the GCF of Fractions 407/3089,198/4934 is 11/15241126

Least Common Multiple of 3089,4934 with GCF Formula

Least Common Multiple of 3089,4934 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 3089,4934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3089,4934) = 1

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

GCF(3089,4934) x common factors =1 x 1 = 1

LCM(3089,4934) = ( 3089 × 4934 ) / 1

LCM(3089,4934) = 15241126 / 1

LCM(3089,4934) = 15241126


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 407/3089, 198/4934

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 407/3089, 198/4934?

Answer: GCF of Numerators as per given numbers 407/3089, 198/4934 is

GCF of Numerators i.e. for 407,198 is 11

LCM of denominators i.e. for 3089,4934 is 15241126.

Thus, GCF of Fractions is 11/15241126.Finally, GCF of Fractions for 407/3089, 198/4934 is 11/15241126.