Greatest Common Factor of 3587/342, 5648/883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3587/342, 5648/883

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 3587/342,5648/883

Given fractions are 3587/342,5648/883

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 3587,5648

Greatest Common Factor of Numerators i.e. GCF of 3587,5648 is 1 .

LCM of Denominators means LCM of 342,883 as per the given fractions.

LCM of 342,883 is 301986 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3587,5648

GCF of Fractions 3587/342,5648/883 is 1/301986

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3587,5648 By Matching Biggest Common Factor Method

Greatest Common Factor of 3587,5648 By Matching Biggest Common Factor Method

Factors of 3587

List of positive integer factors of 3587 that divides 3587 without a remainder.

1,17,211,3587

Factors of 5648

List of positive integer factors of 5648 that divides 5648 without a remainder.

1,2,4,8,16,353,706,1412,2824,5648

Greatest Common Factor

We found the factors 3587,5648 . The biggest common factor number is the GCF number.
So the greatest common factor 3587,5648 is 1.

Lets's calculate LCM of 342,883

Given numbers has no common factors except 1. So, there LCM is their product i.e 301986

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/301986

Therefore, the GCF of Fractions 3587/342,5648/883 is 1/301986

Least Common Multiple of 342,883 with GCF Formula

Least Common Multiple of 342,883 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 342,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,883) = 1

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

GCF(342,883) x common factors =1 x 1 = 1

LCM(342,883) = ( 342 × 883 ) / 1

LCM(342,883) = 301986 / 1

LCM(342,883) = 301986


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 3587/342, 5648/883

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 3587/342, 5648/883?

Answer: GCF of Numerators as per given numbers 3587/342, 5648/883 is

GCF of Numerators i.e. for 3587,5648 is 1

LCM of denominators i.e. for 342,883 is 301986.

Thus, GCF of Fractions is 1/301986.Finally, GCF of Fractions for 3587/342, 5648/883 is 1/301986.