Greatest Common Factor of 2403/952, 9801/1026

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2403/952, 9801/1026

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 2403/952,9801/1026

Given fractions are 2403/952,9801/1026

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 2403,9801

Greatest Common Factor of Numerators i.e. GCF of 2403,9801 is 27 .

LCM of Denominators means LCM of 952,1026 as per the given fractions.

LCM of 952,1026 is 488376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2403,9801

GCF of Fractions 2403/952,9801/1026 is 27/488376

3 2403, 9801
3 801, 3267
3 267, 1089
89, 363

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 2403,9801 By Matching Biggest Common Factor Method

Greatest Common Factor of 2403,9801 By Matching Biggest Common Factor Method

Factors of 2403

List of positive integer factors of 2403 that divides 2403 without a remainder.

1,3,9,27,89,267,801,2403

Factors of 9801

List of positive integer factors of 9801 that divides 9801 without a remainder.

1,3,9,11,27,33,81,99,121,297,363,891,1089,3267,9801

Greatest Common Factor

We found the factors 2403,9801 . The biggest common factor number is the GCF number.
So the greatest common factor 2403,9801 is 27.

Lets's calculate LCM of 952,1026

2 952, 1026
476, 513

∴ So the LCM of the given numbers is 2 x 476 x 513 = 488376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/488376

Therefore, the GCF of Fractions 2403/952,9801/1026 is 27/488376

Least Common Multiple of 952,1026 with GCF Formula

Least Common Multiple of 952,1026 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 952,1026 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,1026) = 2

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

GCF(952,1026) x common factors =2 x 1 = 2

LCM(952,1026) = ( 952 × 1026 ) / 2

LCM(952,1026) = 976752 / 2

LCM(952,1026) = 488376


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 2403/952, 9801/1026

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 2403/952, 9801/1026?

Answer: GCF of Numerators as per given numbers 2403/952, 9801/1026 is

GCF of Numerators i.e. for 2403,9801 is 27

LCM of denominators i.e. for 952,1026 is 488376.

Thus, GCF of Fractions is 27/488376.Finally, GCF of Fractions for 2403/952, 9801/1026 is 27/488376.