Greatest Common Factor of 196/493, 6938/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 196/493, 6938/809

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 196/493,6938/809

Given fractions are 196/493,6938/809

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 196,6938

Greatest Common Factor of Numerators i.e. GCF of 196,6938 is 2 .

LCM of Denominators means LCM of 493,809 as per the given fractions.

LCM of 493,809 is 398837 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 196,6938

GCF of Fractions 196/493,6938/809 is 2/398837

2 196, 6938
98, 3469

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 196,6938 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,6938 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 6938

List of positive integer factors of 6938 that divides 6938 without a remainder.

1,2,3469,6938

Greatest Common Factor

We found the factors 196,6938 . The biggest common factor number is the GCF number.
So the greatest common factor 196,6938 is 2.

Lets's calculate LCM of 493,809

Given numbers has no common factors except 1. So, there LCM is their product i.e 398837

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/398837

Therefore, the GCF of Fractions 196/493,6938/809 is 2/398837

Least Common Multiple of 493,809 with GCF Formula

Least Common Multiple of 493,809 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 493,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,809) = 1

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

GCF(493,809) x common factors =1 x 1 = 1

LCM(493,809) = ( 493 × 809 ) / 1

LCM(493,809) = 398837 / 1

LCM(493,809) = 398837


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 196/493, 6938/809

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 196/493, 6938/809?

Answer: GCF of Numerators as per given numbers 196/493, 6938/809 is

GCF of Numerators i.e. for 196,6938 is 2

LCM of denominators i.e. for 493,809 is 398837.

Thus, GCF of Fractions is 2/398837.Finally, GCF of Fractions for 196/493, 6938/809 is 2/398837.