Greatest Common Factor of 9894/41, 1338/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9894/41, 1338/154

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 9894/41,1338/154

Given fractions are 9894/41,1338/154

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 9894,1338

Greatest Common Factor of Numerators i.e. GCF of 9894,1338 is 6 .

LCM of Denominators means LCM of 41,154 as per the given fractions.

LCM of 41,154 is 6314 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9894,1338

GCF of Fractions 9894/41,1338/154 is 6/6314

2 9894, 1338
3 4947, 669
1649, 223

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 9894,1338 By Matching Biggest Common Factor Method

Greatest Common Factor of 9894,1338 By Matching Biggest Common Factor Method

Factors of 9894

List of positive integer factors of 9894 that divides 9894 without a remainder.

1,2,3,6,17,34,51,97,102,194,291,582,1649,3298,4947,9894

Factors of 1338

List of positive integer factors of 1338 that divides 1338 without a remainder.

1,2,3,6,223,446,669,1338

Greatest Common Factor

We found the factors 9894,1338 . The biggest common factor number is the GCF number.
So the greatest common factor 9894,1338 is 6.

Lets's calculate LCM of 41,154

Given numbers has no common factors except 1. So, there LCM is their product i.e 6314

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/6314

Therefore, the GCF of Fractions 9894/41,1338/154 is 6/6314

Least Common Multiple of 41,154 with GCF Formula

Least Common Multiple of 41,154 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 41,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,154) = 1

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

GCF(41,154) x common factors =1 x 1 = 1

LCM(41,154) = ( 41 × 154 ) / 1

LCM(41,154) = 6314 / 1

LCM(41,154) = 6314


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 9894/41, 1338/154

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 9894/41, 1338/154?

Answer: GCF of Numerators as per given numbers 9894/41, 1338/154 is

GCF of Numerators i.e. for 9894,1338 is 6

LCM of denominators i.e. for 41,154 is 6314.

Thus, GCF of Fractions is 6/6314.Finally, GCF of Fractions for 9894/41, 1338/154 is 6/6314.