Greatest Common Factor of 4195/332, 7290/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4195/332, 7290/490

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 4195/332,7290/490

Given fractions are 4195/332,7290/490

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 4195,7290

Greatest Common Factor of Numerators i.e. GCF of 4195,7290 is 5 .

LCM of Denominators means LCM of 332,490 as per the given fractions.

LCM of 332,490 is 81340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4195,7290

GCF of Fractions 4195/332,7290/490 is 5/81340

5 4195, 7290
839, 1458

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 4195,7290 By Matching Biggest Common Factor Method

Greatest Common Factor of 4195,7290 By Matching Biggest Common Factor Method

Factors of 4195

List of positive integer factors of 4195 that divides 4195 without a remainder.

1,5,839,4195

Factors of 7290

List of positive integer factors of 7290 that divides 7290 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,729,810,1215,1458,2430,3645,7290

Greatest Common Factor

We found the factors 4195,7290 . The biggest common factor number is the GCF number.
So the greatest common factor 4195,7290 is 5.

Lets's calculate LCM of 332,490

2 332, 490
166, 245

∴ So the LCM of the given numbers is 2 x 166 x 245 = 81340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/81340

Therefore, the GCF of Fractions 4195/332,7290/490 is 5/81340

Least Common Multiple of 332,490 with GCF Formula

Least Common Multiple of 332,490 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 332,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(332,490) = 2

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

GCF(332,490) x common factors =2 x 1 = 2

LCM(332,490) = ( 332 × 490 ) / 2

LCM(332,490) = 162680 / 2

LCM(332,490) = 81340


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 4195/332, 7290/490

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 4195/332, 7290/490?

Answer: GCF of Numerators as per given numbers 4195/332, 7290/490 is

GCF of Numerators i.e. for 4195,7290 is 5

LCM of denominators i.e. for 332,490 is 81340.

Thus, GCF of Fractions is 5/81340.Finally, GCF of Fractions for 4195/332, 7290/490 is 5/81340.