Greatest Common Factor of 9838/341, 9544/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9838/341, 9544/556

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 9838/341,9544/556

Given fractions are 9838/341,9544/556

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 9838,9544

Greatest Common Factor of Numerators i.e. GCF of 9838,9544 is 2 .

LCM of Denominators means LCM of 341,556 as per the given fractions.

LCM of 341,556 is 189596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9838,9544

GCF of Fractions 9838/341,9544/556 is 2/189596

2 9838, 9544
4919, 4772

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

Greatest Common Factor of 9838,9544 By Matching Biggest Common Factor Method

Greatest Common Factor of 9838,9544 By Matching Biggest Common Factor Method

Factors of 9838

List of positive integer factors of 9838 that divides 9838 without a remainder.

1,2,4919,9838

Factors of 9544

List of positive integer factors of 9544 that divides 9544 without a remainder.

1,2,4,8,1193,2386,4772,9544

Greatest Common Factor

We found the factors 9838,9544 . The biggest common factor number is the GCF number.
So the greatest common factor 9838,9544 is 2.

Lets's calculate LCM of 341,556

Given numbers has no common factors except 1. So, there LCM is their product i.e 189596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/189596

Therefore, the GCF of Fractions 9838/341,9544/556 is 2/189596

Least Common Multiple of 341,556 with GCF Formula

Least Common Multiple of 341,556 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 341,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(341,556) = 1

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

GCF(341,556) x common factors =1 x 1 = 1

LCM(341,556) = ( 341 × 556 ) / 1

LCM(341,556) = 189596 / 1

LCM(341,556) = 189596


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 9838/341, 9544/556

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 9838/341, 9544/556?

Answer: GCF of Numerators as per given numbers 9838/341, 9544/556 is

GCF of Numerators i.e. for 9838,9544 is 2

LCM of denominators i.e. for 341,556 is 189596.

Thus, GCF of Fractions is 2/189596.Finally, GCF of Fractions for 9838/341, 9544/556 is 2/189596.