Greatest Common Factor of 3739/10, 9703/433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3739/10, 9703/433

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 3739/10,9703/433

Given fractions are 3739/10,9703/433

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 3739,9703

Greatest Common Factor of Numerators i.e. GCF of 3739,9703 is 1 .

LCM of Denominators means LCM of 10,433 as per the given fractions.

LCM of 10,433 is 4330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3739,9703

GCF of Fractions 3739/10,9703/433 is 1/4330

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

Greatest Common Factor of 3739,9703 By Matching Biggest Common Factor Method

Greatest Common Factor of 3739,9703 By Matching Biggest Common Factor Method

Factors of 3739

List of positive integer factors of 3739 that divides 3739 without a remainder.

1,3739

Factors of 9703

List of positive integer factors of 9703 that divides 9703 without a remainder.

1,31,313,9703

Greatest Common Factor

We found the factors 3739,9703 . The biggest common factor number is the GCF number.
So the greatest common factor 3739,9703 is 1.

Lets's calculate LCM of 10,433

Given numbers has no common factors except 1. So, there LCM is their product i.e 4330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4330

Therefore, the GCF of Fractions 3739/10,9703/433 is 1/4330

Least Common Multiple of 10,433 with GCF Formula

Least Common Multiple of 10,433 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 10,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,433) = 1

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

GCF(10,433) x common factors =1 x 1 = 1

LCM(10,433) = ( 10 × 433 ) / 1

LCM(10,433) = 4330 / 1

LCM(10,433) = 4330


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 3739/10, 9703/433

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 3739/10, 9703/433?

Answer: GCF of Numerators as per given numbers 3739/10, 9703/433 is

GCF of Numerators i.e. for 3739,9703 is 1

LCM of denominators i.e. for 10,433 is 4330.

Thus, GCF of Fractions is 1/4330.Finally, GCF of Fractions for 3739/10, 9703/433 is 1/4330.