Greatest Common Factor of 3923/10, 9426/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3923/10, 9426/841

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 3923/10,9426/841

Given fractions are 3923/10,9426/841

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 3923,9426

Greatest Common Factor of Numerators i.e. GCF of 3923,9426 is 1 .

LCM of Denominators means LCM of 10,841 as per the given fractions.

LCM of 10,841 is 8410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3923,9426

GCF of Fractions 3923/10,9426/841 is 1/8410

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

Greatest Common Factor of 3923,9426 By Matching Biggest Common Factor Method

Greatest Common Factor of 3923,9426 By Matching Biggest Common Factor Method

Factors of 3923

List of positive integer factors of 3923 that divides 3923 without a remainder.

1,3923

Factors of 9426

List of positive integer factors of 9426 that divides 9426 without a remainder.

1,2,3,6,1571,3142,4713,9426

Greatest Common Factor

We found the factors 3923,9426 . The biggest common factor number is the GCF number.
So the greatest common factor 3923,9426 is 1.

Lets's calculate LCM of 10,841

Given numbers has no common factors except 1. So, there LCM is their product i.e 8410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8410

Therefore, the GCF of Fractions 3923/10,9426/841 is 1/8410

Least Common Multiple of 10,841 with GCF Formula

Least Common Multiple of 10,841 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 10,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,841) = 1

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

GCF(10,841) x common factors =1 x 1 = 1

LCM(10,841) = ( 10 × 841 ) / 1

LCM(10,841) = 8410 / 1

LCM(10,841) = 8410


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 3923/10, 9426/841

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 3923/10, 9426/841?

Answer: GCF of Numerators as per given numbers 3923/10, 9426/841 is

GCF of Numerators i.e. for 3923,9426 is 1

LCM of denominators i.e. for 10,841 is 8410.

Thus, GCF of Fractions is 1/8410.Finally, GCF of Fractions for 3923/10, 9426/841 is 1/8410.