Greatest Common Factor of 1461/323, 3986/9218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1461/323, 3986/9218

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 1461/323,3986/9218

Given fractions are 1461/323,3986/9218

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 1461,3986

Greatest Common Factor of Numerators i.e. GCF of 1461,3986 is 1 .

LCM of Denominators means LCM of 323,9218 as per the given fractions.

LCM of 323,9218 is 2977414 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1461,3986

GCF of Fractions 1461/323,3986/9218 is 1/2977414

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

Greatest Common Factor of 1461,3986 By Matching Biggest Common Factor Method

Greatest Common Factor of 1461,3986 By Matching Biggest Common Factor Method

Factors of 1461

List of positive integer factors of 1461 that divides 1461 without a remainder.

1,3,487,1461

Factors of 3986

List of positive integer factors of 3986 that divides 3986 without a remainder.

1,2,1993,3986

Greatest Common Factor

We found the factors 1461,3986 . The biggest common factor number is the GCF number.
So the greatest common factor 1461,3986 is 1.

Lets's calculate LCM of 323,9218

Given numbers has no common factors except 1. So, there LCM is their product i.e 2977414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2977414

Therefore, the GCF of Fractions 1461/323,3986/9218 is 1/2977414

Least Common Multiple of 323,9218 with GCF Formula

Least Common Multiple of 323,9218 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 323,9218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,9218) = 1

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

GCF(323,9218) x common factors =1 x 1 = 1

LCM(323,9218) = ( 323 × 9218 ) / 1

LCM(323,9218) = 2977414 / 1

LCM(323,9218) = 2977414


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 1461/323, 3986/9218

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 1461/323, 3986/9218?

Answer: GCF of Numerators as per given numbers 1461/323, 3986/9218 is

GCF of Numerators i.e. for 1461,3986 is 1

LCM of denominators i.e. for 323,9218 is 2977414.

Thus, GCF of Fractions is 1/2977414.Finally, GCF of Fractions for 1461/323, 3986/9218 is 1/2977414.