Greatest Common Factor of 1871/383, 3969/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1871/383, 3969/103

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 1871/383,3969/103

Given fractions are 1871/383,3969/103

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 1871,3969

Greatest Common Factor of Numerators i.e. GCF of 1871,3969 is 1 .

LCM of Denominators means LCM of 383,103 as per the given fractions.

LCM of 383,103 is 39449 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1871,3969

GCF of Fractions 1871/383,3969/103 is 1/39449

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

Greatest Common Factor of 1871,3969 By Matching Biggest Common Factor Method

Greatest Common Factor of 1871,3969 By Matching Biggest Common Factor Method

Factors of 1871

List of positive integer factors of 1871 that divides 1871 without a remainder.

1,1871

Factors of 3969

List of positive integer factors of 3969 that divides 3969 without a remainder.

1,3,7,9,21,27,49,63,81,147,189,441,567,1323,3969

Greatest Common Factor

We found the factors 1871,3969 . The biggest common factor number is the GCF number.
So the greatest common factor 1871,3969 is 1.

Lets's calculate LCM of 383,103

Given numbers has no common factors except 1. So, there LCM is their product i.e 39449

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39449

Therefore, the GCF of Fractions 1871/383,3969/103 is 1/39449

Least Common Multiple of 383,103 with GCF Formula

Least Common Multiple of 383,103 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 383,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,103) = 1

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

GCF(383,103) x common factors =1 x 1 = 1

LCM(383,103) = ( 383 × 103 ) / 1

LCM(383,103) = 39449 / 1

LCM(383,103) = 39449


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 1871/383, 3969/103

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 1871/383, 3969/103?

Answer: GCF of Numerators as per given numbers 1871/383, 3969/103 is

GCF of Numerators i.e. for 1871,3969 is 1

LCM of denominators i.e. for 383,103 is 39449.

Thus, GCF of Fractions is 1/39449.Finally, GCF of Fractions for 1871/383, 3969/103 is 1/39449.