Greatest Common Factor of 1230/831, 3916/6545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1230/831, 3916/6545

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 1230/831,3916/6545

Given fractions are 1230/831,3916/6545

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 1230,3916

Greatest Common Factor of Numerators i.e. GCF of 1230,3916 is 2 .

LCM of Denominators means LCM of 831,6545 as per the given fractions.

LCM of 831,6545 is 5438895 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1230,3916

GCF of Fractions 1230/831,3916/6545 is 2/5438895

2 1230, 3916
615, 1958

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

Greatest Common Factor of 1230,3916 By Matching Biggest Common Factor Method

Greatest Common Factor of 1230,3916 By Matching Biggest Common Factor Method

Factors of 1230

List of positive integer factors of 1230 that divides 1230 without a remainder.

1,2,3,5,6,10,15,30,41,82,123,205,246,410,615,1230

Factors of 3916

List of positive integer factors of 3916 that divides 3916 without a remainder.

1,2,4,11,22,44,89,178,356,979,1958,3916

Greatest Common Factor

We found the factors 1230,3916 . The biggest common factor number is the GCF number.
So the greatest common factor 1230,3916 is 2.

Lets's calculate LCM of 831,6545

Given numbers has no common factors except 1. So, there LCM is their product i.e 5438895

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5438895

Therefore, the GCF of Fractions 1230/831,3916/6545 is 2/5438895

Least Common Multiple of 831,6545 with GCF Formula

Least Common Multiple of 831,6545 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 831,6545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,6545) = 1

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

GCF(831,6545) x common factors =1 x 1 = 1

LCM(831,6545) = ( 831 × 6545 ) / 1

LCM(831,6545) = 5438895 / 1

LCM(831,6545) = 5438895


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 1230/831, 3916/6545

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 1230/831, 3916/6545?

Answer: GCF of Numerators as per given numbers 1230/831, 3916/6545 is

GCF of Numerators i.e. for 1230,3916 is 2

LCM of denominators i.e. for 831,6545 is 5438895.

Thus, GCF of Fractions is 2/5438895.Finally, GCF of Fractions for 1230/831, 3916/6545 is 2/5438895.