Greatest Common Factor of 9803/356, 3762/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9803/356, 3762/828

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 9803/356,3762/828

Given fractions are 9803/356,3762/828

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 9803,3762

Greatest Common Factor of Numerators i.e. GCF of 9803,3762 is 1 .

LCM of Denominators means LCM of 356,828 as per the given fractions.

LCM of 356,828 is 73692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9803,3762

GCF of Fractions 9803/356,3762/828 is 1/73692

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

Greatest Common Factor of 9803,3762 By Matching Biggest Common Factor Method

Greatest Common Factor of 9803,3762 By Matching Biggest Common Factor Method

Factors of 9803

List of positive integer factors of 9803 that divides 9803 without a remainder.

1,9803

Factors of 3762

List of positive integer factors of 3762 that divides 3762 without a remainder.

1,2,3,6,9,11,18,19,22,33,38,57,66,99,114,171,198,209,342,418,627,1254,1881,3762

Greatest Common Factor

We found the factors 9803,3762 . The biggest common factor number is the GCF number.
So the greatest common factor 9803,3762 is 1.

Lets's calculate LCM of 356,828

2 356, 828
2 178, 414
89, 207

∴ So the LCM of the given numbers is 2 x 2 x 89 x 207 = 73692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73692

Therefore, the GCF of Fractions 9803/356,3762/828 is 1/73692

Least Common Multiple of 356,828 with GCF Formula

Least Common Multiple of 356,828 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 356,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,828) = 4

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

GCF(356,828) x common factors =4 x 1 = 4

LCM(356,828) = ( 356 × 828 ) / 4

LCM(356,828) = 294768 / 4

LCM(356,828) = 73692


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 9803/356, 3762/828

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 9803/356, 3762/828?

Answer: GCF of Numerators as per given numbers 9803/356, 3762/828 is

GCF of Numerators i.e. for 9803,3762 is 1

LCM of denominators i.e. for 356,828 is 73692.

Thus, GCF of Fractions is 1/73692.Finally, GCF of Fractions for 9803/356, 3762/828 is 1/73692.