Greatest Common Factor of 1397/738, 3486/4783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1397/738, 3486/4783

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 1397/738,3486/4783

Given fractions are 1397/738,3486/4783

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 1397,3486

Greatest Common Factor of Numerators i.e. GCF of 1397,3486 is 1 .

LCM of Denominators means LCM of 738,4783 as per the given fractions.

LCM of 738,4783 is 3529854 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1397,3486

GCF of Fractions 1397/738,3486/4783 is 1/3529854

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

Greatest Common Factor of 1397,3486 By Matching Biggest Common Factor Method

Greatest Common Factor of 1397,3486 By Matching Biggest Common Factor Method

Factors of 1397

List of positive integer factors of 1397 that divides 1397 without a remainder.

1,11,127,1397

Factors of 3486

List of positive integer factors of 3486 that divides 3486 without a remainder.

1,2,3,6,7,14,21,42,83,166,249,498,581,1162,1743,3486

Greatest Common Factor

We found the factors 1397,3486 . The biggest common factor number is the GCF number.
So the greatest common factor 1397,3486 is 1.

Lets's calculate LCM of 738,4783

Given numbers has no common factors except 1. So, there LCM is their product i.e 3529854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3529854

Therefore, the GCF of Fractions 1397/738,3486/4783 is 1/3529854

Least Common Multiple of 738,4783 with GCF Formula

Least Common Multiple of 738,4783 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 738,4783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,4783) = 1

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

GCF(738,4783) x common factors =1 x 1 = 1

LCM(738,4783) = ( 738 × 4783 ) / 1

LCM(738,4783) = 3529854 / 1

LCM(738,4783) = 3529854


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 1397/738, 3486/4783

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 1397/738, 3486/4783?

Answer: GCF of Numerators as per given numbers 1397/738, 3486/4783 is

GCF of Numerators i.e. for 1397,3486 is 1

LCM of denominators i.e. for 738,4783 is 3529854.

Thus, GCF of Fractions is 1/3529854.Finally, GCF of Fractions for 1397/738, 3486/4783 is 1/3529854.