Greatest Common Factor of 1326/834, 1928/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1326/834, 1928/688

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 1326/834,1928/688

Given fractions are 1326/834,1928/688

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 1326,1928

Greatest Common Factor of Numerators i.e. GCF of 1326,1928 is 2 .

LCM of Denominators means LCM of 834,688 as per the given fractions.

LCM of 834,688 is 286896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1326,1928

GCF of Fractions 1326/834,1928/688 is 2/286896

2 1326, 1928
663, 964

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

Greatest Common Factor of 1326,1928 By Matching Biggest Common Factor Method

Greatest Common Factor of 1326,1928 By Matching Biggest Common Factor Method

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

Factors of 1928

List of positive integer factors of 1928 that divides 1928 without a remainder.

1,2,4,8,241,482,964,1928

Greatest Common Factor

We found the factors 1326,1928 . The biggest common factor number is the GCF number.
So the greatest common factor 1326,1928 is 2.

Lets's calculate LCM of 834,688

2 834, 688
417, 344

∴ So the LCM of the given numbers is 2 x 417 x 344 = 286896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/286896

Therefore, the GCF of Fractions 1326/834,1928/688 is 2/286896

Least Common Multiple of 834,688 with GCF Formula

Least Common Multiple of 834,688 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 834,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,688) = 2

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

GCF(834,688) x common factors =2 x 1 = 2

LCM(834,688) = ( 834 × 688 ) / 2

LCM(834,688) = 573792 / 2

LCM(834,688) = 286896


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 1326/834, 1928/688

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 1326/834, 1928/688?

Answer: GCF of Numerators as per given numbers 1326/834, 1928/688 is

GCF of Numerators i.e. for 1326,1928 is 2

LCM of denominators i.e. for 834,688 is 286896.

Thus, GCF of Fractions is 2/286896.Finally, GCF of Fractions for 1326/834, 1928/688 is 2/286896.