Greatest Common Factor of 2471/23, 5669/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2471/23, 5669/231

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 2471/23,5669/231

Given fractions are 2471/23,5669/231

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 2471,5669

Greatest Common Factor of Numerators i.e. GCF of 2471,5669 is 1 .

LCM of Denominators means LCM of 23,231 as per the given fractions.

LCM of 23,231 is 5313 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2471,5669

GCF of Fractions 2471/23,5669/231 is 1/5313

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

Greatest Common Factor of 2471,5669 By Matching Biggest Common Factor Method

Greatest Common Factor of 2471,5669 By Matching Biggest Common Factor Method

Factors of 2471

List of positive integer factors of 2471 that divides 2471 without a remainder.

1,7,353,2471

Factors of 5669

List of positive integer factors of 5669 that divides 5669 without a remainder.

1,5669

Greatest Common Factor

We found the factors 2471,5669 . The biggest common factor number is the GCF number.
So the greatest common factor 2471,5669 is 1.

Lets's calculate LCM of 23,231

Given numbers has no common factors except 1. So, there LCM is their product i.e 5313

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5313

Therefore, the GCF of Fractions 2471/23,5669/231 is 1/5313

Least Common Multiple of 23,231 with GCF Formula

Least Common Multiple of 23,231 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 23,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,231) = 1

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

GCF(23,231) x common factors =1 x 1 = 1

LCM(23,231) = ( 23 × 231 ) / 1

LCM(23,231) = 5313 / 1

LCM(23,231) = 5313


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 2471/23, 5669/231

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 2471/23, 5669/231?

Answer: GCF of Numerators as per given numbers 2471/23, 5669/231 is

GCF of Numerators i.e. for 2471,5669 is 1

LCM of denominators i.e. for 23,231 is 5313.

Thus, GCF of Fractions is 1/5313.Finally, GCF of Fractions for 2471/23, 5669/231 is 1/5313.