Greatest Common Factor of 9867/40, 3444/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9867/40, 3444/385

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 9867/40,3444/385

Given fractions are 9867/40,3444/385

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 9867,3444

Greatest Common Factor of Numerators i.e. GCF of 9867,3444 is 3 .

LCM of Denominators means LCM of 40,385 as per the given fractions.

LCM of 40,385 is 3080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9867,3444

GCF of Fractions 9867/40,3444/385 is 3/3080

3 9867, 3444
3289, 1148

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

Greatest Common Factor of 9867,3444 By Matching Biggest Common Factor Method

Greatest Common Factor of 9867,3444 By Matching Biggest Common Factor Method

Factors of 9867

List of positive integer factors of 9867 that divides 9867 without a remainder.

1,3,11,13,23,33,39,69,143,253,299,429,759,897,3289,9867

Factors of 3444

List of positive integer factors of 3444 that divides 3444 without a remainder.

1,2,3,4,6,7,12,14,21,28,41,42,82,84,123,164,246,287,492,574,861,1148,1722,3444

Greatest Common Factor

We found the factors 9867,3444 . The biggest common factor number is the GCF number.
So the greatest common factor 9867,3444 is 3.

Lets's calculate LCM of 40,385

5 40, 385
8, 77

∴ So the LCM of the given numbers is 5 x 8 x 77 = 3080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3080

Therefore, the GCF of Fractions 9867/40,3444/385 is 3/3080

Least Common Multiple of 40,385 with GCF Formula

Least Common Multiple of 40,385 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 40,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,385) = 5

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

GCF(40,385) x common factors =5 x 1 = 5

LCM(40,385) = ( 40 × 385 ) / 5

LCM(40,385) = 15400 / 5

LCM(40,385) = 3080


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 9867/40, 3444/385

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 9867/40, 3444/385?

Answer: GCF of Numerators as per given numbers 9867/40, 3444/385 is

GCF of Numerators i.e. for 9867,3444 is 3

LCM of denominators i.e. for 40,385 is 3080.

Thus, GCF of Fractions is 3/3080.Finally, GCF of Fractions for 9867/40, 3444/385 is 3/3080.