Greatest Common Factor of 5699/51, 3608/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5699/51, 3608/331

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 5699/51,3608/331

Given fractions are 5699/51,3608/331

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 5699,3608

Greatest Common Factor of Numerators i.e. GCF of 5699,3608 is 41 .

LCM of Denominators means LCM of 51,331 as per the given fractions.

LCM of 51,331 is 16881 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5699,3608

GCF of Fractions 5699/51,3608/331 is 41/16881

41 5699, 3608
139, 88

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 5699,3608 By Matching Biggest Common Factor Method

Greatest Common Factor of 5699,3608 By Matching Biggest Common Factor Method

Factors of 5699

List of positive integer factors of 5699 that divides 5699 without a remainder.

1,41,139,5699

Factors of 3608

List of positive integer factors of 3608 that divides 3608 without a remainder.

1,2,4,8,11,22,41,44,82,88,164,328,451,902,1804,3608

Greatest Common Factor

We found the factors 5699,3608 . The biggest common factor number is the GCF number.
So the greatest common factor 5699,3608 is 41.

Lets's calculate LCM of 51,331

Given numbers has no common factors except 1. So, there LCM is their product i.e 16881

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/16881

Therefore, the GCF of Fractions 5699/51,3608/331 is 41/16881

Least Common Multiple of 51,331 with GCF Formula

Least Common Multiple of 51,331 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 51,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,331) = 1

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

GCF(51,331) x common factors =1 x 1 = 1

LCM(51,331) = ( 51 × 331 ) / 1

LCM(51,331) = 16881 / 1

LCM(51,331) = 16881


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 5699/51, 3608/331

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 5699/51, 3608/331?

Answer: GCF of Numerators as per given numbers 5699/51, 3608/331 is

GCF of Numerators i.e. for 5699,3608 is 41

LCM of denominators i.e. for 51,331 is 16881.

Thus, GCF of Fractions is 41/16881.Finally, GCF of Fractions for 5699/51, 3608/331 is 41/16881.