Greatest Common Factor of 782/399, 1678/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 782/399, 1678/608

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 782/399,1678/608

Given fractions are 782/399,1678/608

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 782,1678

Greatest Common Factor of Numerators i.e. GCF of 782,1678 is 2 .

LCM of Denominators means LCM of 399,608 as per the given fractions.

LCM of 399,608 is 12768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 782,1678

GCF of Fractions 782/399,1678/608 is 2/12768

2 782, 1678
391, 839

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

Greatest Common Factor of 782,1678 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,1678 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 1678

List of positive integer factors of 1678 that divides 1678 without a remainder.

1,2,839,1678

Greatest Common Factor

We found the factors 782,1678 . The biggest common factor number is the GCF number.
So the greatest common factor 782,1678 is 2.

Lets's calculate LCM of 399,608

19 399, 608
21, 32

∴ So the LCM of the given numbers is 19 x 21 x 32 = 12768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12768

Therefore, the GCF of Fractions 782/399,1678/608 is 2/12768

Least Common Multiple of 399,608 with GCF Formula

Least Common Multiple of 399,608 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 399,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,608) = 19

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

GCF(399,608) x common factors =19 x 1 = 19

LCM(399,608) = ( 399 × 608 ) / 19

LCM(399,608) = 242592 / 19

LCM(399,608) = 12768


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 782/399, 1678/608

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 782/399, 1678/608?

Answer: GCF of Numerators as per given numbers 782/399, 1678/608 is

GCF of Numerators i.e. for 782,1678 is 2

LCM of denominators i.e. for 399,608 is 12768.

Thus, GCF of Fractions is 2/12768.Finally, GCF of Fractions for 782/399, 1678/608 is 2/12768.