Greatest Common Factor of 3390/290, 1219/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3390/290, 1219/908

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 3390/290,1219/908

Given fractions are 3390/290,1219/908

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 3390,1219

Greatest Common Factor of Numerators i.e. GCF of 3390,1219 is 1 .

LCM of Denominators means LCM of 290,908 as per the given fractions.

LCM of 290,908 is 131660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3390,1219

GCF of Fractions 3390/290,1219/908 is 1/131660

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

Greatest Common Factor of 3390,1219 By Matching Biggest Common Factor Method

Greatest Common Factor of 3390,1219 By Matching Biggest Common Factor Method

Factors of 3390

List of positive integer factors of 3390 that divides 3390 without a remainder.

1,2,3,5,6,10,15,30,113,226,339,565,678,1130,1695,3390

Factors of 1219

List of positive integer factors of 1219 that divides 1219 without a remainder.

1,23,53,1219

Greatest Common Factor

We found the factors 3390,1219 . The biggest common factor number is the GCF number.
So the greatest common factor 3390,1219 is 1.

Lets's calculate LCM of 290,908

2 290, 908
145, 454

∴ So the LCM of the given numbers is 2 x 145 x 454 = 131660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131660

Therefore, the GCF of Fractions 3390/290,1219/908 is 1/131660

Least Common Multiple of 290,908 with GCF Formula

Least Common Multiple of 290,908 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 290,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,908) = 2

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

GCF(290,908) x common factors =2 x 1 = 2

LCM(290,908) = ( 290 × 908 ) / 2

LCM(290,908) = 263320 / 2

LCM(290,908) = 131660


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 3390/290, 1219/908

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 3390/290, 1219/908?

Answer: GCF of Numerators as per given numbers 3390/290, 1219/908 is

GCF of Numerators i.e. for 3390,1219 is 1

LCM of denominators i.e. for 290,908 is 131660.

Thus, GCF of Fractions is 1/131660.Finally, GCF of Fractions for 3390/290, 1219/908 is 1/131660.