Greatest Common Factor of 3289/11, 9295/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3289/11, 9295/370

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 3289/11,9295/370

Given fractions are 3289/11,9295/370

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 3289,9295

Greatest Common Factor of Numerators i.e. GCF of 3289,9295 is 143 .

LCM of Denominators means LCM of 11,370 as per the given fractions.

LCM of 11,370 is 4070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3289,9295

GCF of Fractions 3289/11,9295/370 is 143/4070

11 3289, 9295
13 299, 845
23, 65

∴ So the GCF of the given numbers is 11 x 13 = 143

Greatest Common Factor of 3289,9295 By Matching Biggest Common Factor Method

Greatest Common Factor of 3289,9295 By Matching Biggest Common Factor Method

Factors of 3289

List of positive integer factors of 3289 that divides 3289 without a remainder.

1,11,13,23,143,253,299,3289

Factors of 9295

List of positive integer factors of 9295 that divides 9295 without a remainder.

1,5,11,13,55,65,143,169,715,845,1859,9295

Greatest Common Factor

We found the factors 3289,9295 . The biggest common factor number is the GCF number.
So the greatest common factor 3289,9295 is 143.

Lets's calculate LCM of 11,370

Given numbers has no common factors except 1. So, there LCM is their product i.e 4070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 143/4070

Therefore, the GCF of Fractions 3289/11,9295/370 is 143/4070

Least Common Multiple of 11,370 with GCF Formula

Least Common Multiple of 11,370 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 11,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,370) = 1

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

GCF(11,370) x common factors =1 x 1 = 1

LCM(11,370) = ( 11 × 370 ) / 1

LCM(11,370) = 4070 / 1

LCM(11,370) = 4070


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 3289/11, 9295/370

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 3289/11, 9295/370?

Answer: GCF of Numerators as per given numbers 3289/11, 9295/370 is

GCF of Numerators i.e. for 3289,9295 is 143

LCM of denominators i.e. for 11,370 is 4070.

Thus, GCF of Fractions is 143/4070.Finally, GCF of Fractions for 3289/11, 9295/370 is 143/4070.