Greatest Common Factor of 5711/230, 4441/1948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5711/230, 4441/1948

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 5711/230,4441/1948

Given fractions are 5711/230,4441/1948

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 5711,4441

Greatest Common Factor of Numerators i.e. GCF of 5711,4441 is 1 .

LCM of Denominators means LCM of 230,1948 as per the given fractions.

LCM of 230,1948 is 224020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5711,4441

GCF of Fractions 5711/230,4441/1948 is 1/224020

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

Greatest Common Factor of 5711,4441 By Matching Biggest Common Factor Method

Greatest Common Factor of 5711,4441 By Matching Biggest Common Factor Method

Factors of 5711

List of positive integer factors of 5711 that divides 5711 without a remainder.

1,5711

Factors of 4441

List of positive integer factors of 4441 that divides 4441 without a remainder.

1,4441

Greatest Common Factor

We found the factors 5711,4441 . The biggest common factor number is the GCF number.
So the greatest common factor 5711,4441 is 1.

Lets's calculate LCM of 230,1948

2 230, 1948
115, 974

∴ So the LCM of the given numbers is 2 x 115 x 974 = 224020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224020

Therefore, the GCF of Fractions 5711/230,4441/1948 is 1/224020

Least Common Multiple of 230,1948 with GCF Formula

Least Common Multiple of 230,1948 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 230,1948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,1948) = 2

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

GCF(230,1948) x common factors =2 x 1 = 2

LCM(230,1948) = ( 230 × 1948 ) / 2

LCM(230,1948) = 448040 / 2

LCM(230,1948) = 224020


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 5711/230, 4441/1948

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 5711/230, 4441/1948?

Answer: GCF of Numerators as per given numbers 5711/230, 4441/1948 is

GCF of Numerators i.e. for 5711,4441 is 1

LCM of denominators i.e. for 230,1948 is 224020.

Thus, GCF of Fractions is 1/224020.Finally, GCF of Fractions for 5711/230, 4441/1948 is 1/224020.