Greatest Common Factor of 398/7353, 234/7474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 398/7353, 234/7474

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 398/7353,234/7474

Given fractions are 398/7353,234/7474

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 398,234

Greatest Common Factor of Numerators i.e. GCF of 398,234 is 2 .

LCM of Denominators means LCM of 7353,7474 as per the given fractions.

LCM of 7353,7474 is 54956322 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 398,234

GCF of Fractions 398/7353,234/7474 is 2/54956322

2 398, 234
199, 117

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

Greatest Common Factor of 398,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,234 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 398,234 . The biggest common factor number is the GCF number.
So the greatest common factor 398,234 is 2.

Lets's calculate LCM of 7353,7474

Given numbers has no common factors except 1. So, there LCM is their product i.e 54956322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54956322

Therefore, the GCF of Fractions 398/7353,234/7474 is 2/54956322

Least Common Multiple of 7353,7474 with GCF Formula

Least Common Multiple of 7353,7474 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 7353,7474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7353,7474) = 1

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

GCF(7353,7474) x common factors =1 x 1 = 1

LCM(7353,7474) = ( 7353 × 7474 ) / 1

LCM(7353,7474) = 54956322 / 1

LCM(7353,7474) = 54956322


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 398/7353, 234/7474

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 398/7353, 234/7474?

Answer: GCF of Numerators as per given numbers 398/7353, 234/7474 is

GCF of Numerators i.e. for 398,234 is 2

LCM of denominators i.e. for 7353,7474 is 54956322.

Thus, GCF of Fractions is 2/54956322.Finally, GCF of Fractions for 398/7353, 234/7474 is 2/54956322.