Greatest Common Factor of 9485/396, 9736/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9485/396, 9736/106

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 9485/396,9736/106

Given fractions are 9485/396,9736/106

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 9485,9736

Greatest Common Factor of Numerators i.e. GCF of 9485,9736 is 1 .

LCM of Denominators means LCM of 396,106 as per the given fractions.

LCM of 396,106 is 20988 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9485,9736

GCF of Fractions 9485/396,9736/106 is 1/20988

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

Greatest Common Factor of 9485,9736 By Matching Biggest Common Factor Method

Greatest Common Factor of 9485,9736 By Matching Biggest Common Factor Method

Factors of 9485

List of positive integer factors of 9485 that divides 9485 without a remainder.

1,5,7,35,271,1355,1897,9485

Factors of 9736

List of positive integer factors of 9736 that divides 9736 without a remainder.

1,2,4,8,1217,2434,4868,9736

Greatest Common Factor

We found the factors 9485,9736 . The biggest common factor number is the GCF number.
So the greatest common factor 9485,9736 is 1.

Lets's calculate LCM of 396,106

2 396, 106
198, 53

∴ So the LCM of the given numbers is 2 x 198 x 53 = 20988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20988

Therefore, the GCF of Fractions 9485/396,9736/106 is 1/20988

Least Common Multiple of 396,106 with GCF Formula

Least Common Multiple of 396,106 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 396,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,106) = 2

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

GCF(396,106) x common factors =2 x 1 = 2

LCM(396,106) = ( 396 × 106 ) / 2

LCM(396,106) = 41976 / 2

LCM(396,106) = 20988


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 9485/396, 9736/106

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 9485/396, 9736/106?

Answer: GCF of Numerators as per given numbers 9485/396, 9736/106 is

GCF of Numerators i.e. for 9485,9736 is 1

LCM of denominators i.e. for 396,106 is 20988.

Thus, GCF of Fractions is 1/20988.Finally, GCF of Fractions for 9485/396, 9736/106 is 1/20988.