Greatest Common Factor of 1786/314, 1397/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1786/314, 1397/369

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 1786/314,1397/369

Given fractions are 1786/314,1397/369

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 1786,1397

Greatest Common Factor of Numerators i.e. GCF of 1786,1397 is 1 .

LCM of Denominators means LCM of 314,369 as per the given fractions.

LCM of 314,369 is 115866 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1786,1397

GCF of Fractions 1786/314,1397/369 is 1/115866

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

Greatest Common Factor of 1786,1397 By Matching Biggest Common Factor Method

Greatest Common Factor of 1786,1397 By Matching Biggest Common Factor Method

Factors of 1786

List of positive integer factors of 1786 that divides 1786 without a remainder.

1,2,19,38,47,94,893,1786

Factors of 1397

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

1,11,127,1397

Greatest Common Factor

We found the factors 1786,1397 . The biggest common factor number is the GCF number.
So the greatest common factor 1786,1397 is 1.

Lets's calculate LCM of 314,369

Given numbers has no common factors except 1. So, there LCM is their product i.e 115866

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115866

Therefore, the GCF of Fractions 1786/314,1397/369 is 1/115866

Least Common Multiple of 314,369 with GCF Formula

Least Common Multiple of 314,369 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 314,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,369) = 1

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

GCF(314,369) x common factors =1 x 1 = 1

LCM(314,369) = ( 314 × 369 ) / 1

LCM(314,369) = 115866 / 1

LCM(314,369) = 115866


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 1786/314, 1397/369

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 1786/314, 1397/369?

Answer: GCF of Numerators as per given numbers 1786/314, 1397/369 is

GCF of Numerators i.e. for 1786,1397 is 1

LCM of denominators i.e. for 314,369 is 115866.

Thus, GCF of Fractions is 1/115866.Finally, GCF of Fractions for 1786/314, 1397/369 is 1/115866.