Greatest Common Factor of 5907/996, 3201/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5907/996, 3201/424

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 5907/996,3201/424

Given fractions are 5907/996,3201/424

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 5907,3201

Greatest Common Factor of Numerators i.e. GCF of 5907,3201 is 33 .

LCM of Denominators means LCM of 996,424 as per the given fractions.

LCM of 996,424 is 105576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5907,3201

GCF of Fractions 5907/996,3201/424 is 33/105576

3 5907, 3201
11 1969, 1067
179, 97

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 5907,3201 By Matching Biggest Common Factor Method

Greatest Common Factor of 5907,3201 By Matching Biggest Common Factor Method

Factors of 5907

List of positive integer factors of 5907 that divides 5907 without a remainder.

1,3,11,33,179,537,1969,5907

Factors of 3201

List of positive integer factors of 3201 that divides 3201 without a remainder.

1,3,11,33,97,291,1067,3201

Greatest Common Factor

We found the factors 5907,3201 . The biggest common factor number is the GCF number.
So the greatest common factor 5907,3201 is 33.

Lets's calculate LCM of 996,424

2 996, 424
2 498, 212
249, 106

∴ So the LCM of the given numbers is 2 x 2 x 249 x 106 = 105576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/105576

Therefore, the GCF of Fractions 5907/996,3201/424 is 33/105576

Least Common Multiple of 996,424 with GCF Formula

Least Common Multiple of 996,424 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 996,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,424) = 4

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

GCF(996,424) x common factors =4 x 1 = 4

LCM(996,424) = ( 996 × 424 ) / 4

LCM(996,424) = 422304 / 4

LCM(996,424) = 105576


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 5907/996, 3201/424

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 5907/996, 3201/424?

Answer: GCF of Numerators as per given numbers 5907/996, 3201/424 is

GCF of Numerators i.e. for 5907,3201 is 33

LCM of denominators i.e. for 996,424 is 105576.

Thus, GCF of Fractions is 33/105576.Finally, GCF of Fractions for 5907/996, 3201/424 is 33/105576.