Greatest Common Factor of 290/465, 1326/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 290/465, 1326/374

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 290/465,1326/374

Given fractions are 290/465,1326/374

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 290,1326

Greatest Common Factor of Numerators i.e. GCF of 290,1326 is 2 .

LCM of Denominators means LCM of 465,374 as per the given fractions.

LCM of 465,374 is 173910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 290,1326

GCF of Fractions 290/465,1326/374 is 2/173910

2 290, 1326
145, 663

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 290,1326 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,1326 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 1326

List of positive integer factors of 1326 that divides 1326 without a remainder.

1,2,3,6,13,17,26,34,39,51,78,102,221,442,663,1326

Greatest Common Factor

We found the factors 290,1326 . The biggest common factor number is the GCF number.
So the greatest common factor 290,1326 is 2.

Lets's calculate LCM of 465,374

Given numbers has no common factors except 1. So, there LCM is their product i.e 173910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/173910

Therefore, the GCF of Fractions 290/465,1326/374 is 2/173910

Least Common Multiple of 465,374 with GCF Formula

Least Common Multiple of 465,374 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 465,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,374) = 1

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

GCF(465,374) x common factors =1 x 1 = 1

LCM(465,374) = ( 465 × 374 ) / 1

LCM(465,374) = 173910 / 1

LCM(465,374) = 173910


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 290/465, 1326/374

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 290/465, 1326/374?

Answer: GCF of Numerators as per given numbers 290/465, 1326/374 is

GCF of Numerators i.e. for 290,1326 is 2

LCM of denominators i.e. for 465,374 is 173910.

Thus, GCF of Fractions is 2/173910.Finally, GCF of Fractions for 290/465, 1326/374 is 2/173910.