How to Find GCF of 2398/923, 4666/191?

GCF of 2398/923, 4666/191

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 2398/923, 4666/191 i.e 2/176293 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2398/923, 4666/191.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2398/923,4666/191?

Given fractions are 2398/923,4666/191

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 2398/923,4666/191, numerators are 2398,4666

Denominators are 923,191

The GCF of 2398,4666 is 2 .

LCM of 923,191 is 176293.

The greatest common factor of 2398/923,4666/191 = [GCF of 2398,4666]/[LCM of 923,191]= 2/176293

Therefore, the GCF of 2398/923,4666/191 is 2/176293.

Greatest Common Factor of 2398,4666

To find the highest common factor of 2398,4666, we have to find the factors of both numbers and list the highest common factor.

The factors of 2398 are 1, 2, 11, 22, 109, 218, 1199, 2398

The factors of 4666 are 1, 2, 2333, 4666

The HCF of 2398,4666 is 2.

Lets's calculate GCF of 2398,4666

Greatest Common Factor (GCF) of 2398,4666 By Common Division

2	2398, 4666
	1199, 2333

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

Greatest Common Factor of 2398,4666 By Matching Biggest Common Factor Method

Now, list down the factors of 2398

1,2,11,22,109,218,1199,2398

Now, list down the factors of 4666

1,2,2333,4666

Greatest Common Factor

We found the factors 2398,4666 . The biggest common factor number is the GCF number.
So the greatest common factor 2398,4666 is 2.

Lets's calculate LCM of 923,191

Lowest Common Multiple of 923,191 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 176293

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/176293

Therefore, the GCF of Fractions 2398/923,4666/191 is 2/176293

Least Common Multiple of 923,191 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 923,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,191) = 1

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

GCF(923,191) x common factors =1 x 1 = 1

LCM(923,191) = ( 923 × 191 ) / 1

LCM(923,191) = 176293 / 1

LCM(923,191) = 176293

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FAQs on GCF of Fractions of 2398/923, 4666/191

1. What is the HCF of 2398,4666?

The HCF of 2398,4666 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 2398/923, 4666/191?

Answer: GCF of Numerators as per given numbers 2398/923, 4666/191 is

GCF of Numerators i.e. for 2398,4666 is 2

LCM of denominators i.e. for 923,191 is 176293.

Thus, GCF of Fractions is 2/176293.Finally, GCF of Fractions for 2398/923, 4666/191 is 2/176293.