Greatest Common Factor of 819/68, 6448/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 819/68, 6448/704

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 819/68,6448/704

Given fractions are 819/68,6448/704

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 819,6448

Greatest Common Factor of Numerators i.e. GCF of 819,6448 is 13 .

LCM of Denominators means LCM of 68,704 as per the given fractions.

LCM of 68,704 is 11968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 819,6448

GCF of Fractions 819/68,6448/704 is 13/11968

13 819, 6448
63, 496

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 819,6448 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,6448 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 6448

List of positive integer factors of 6448 that divides 6448 without a remainder.

1,2,4,8,13,16,26,31,52,62,104,124,208,248,403,496,806,1612,3224,6448

Greatest Common Factor

We found the factors 819,6448 . The biggest common factor number is the GCF number.
So the greatest common factor 819,6448 is 13.

Lets's calculate LCM of 68,704

2 68, 704
2 34, 352
17, 176

∴ So the LCM of the given numbers is 2 x 2 x 17 x 176 = 11968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/11968

Therefore, the GCF of Fractions 819/68,6448/704 is 13/11968

Least Common Multiple of 68,704 with GCF Formula

Least Common Multiple of 68,704 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 68,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,704) = 4

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

GCF(68,704) x common factors =4 x 1 = 4

LCM(68,704) = ( 68 × 704 ) / 4

LCM(68,704) = 47872 / 4

LCM(68,704) = 11968


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 819/68, 6448/704

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 819/68, 6448/704?

Answer: GCF of Numerators as per given numbers 819/68, 6448/704 is

GCF of Numerators i.e. for 819,6448 is 13

LCM of denominators i.e. for 68,704 is 11968.

Thus, GCF of Fractions is 13/11968.Finally, GCF of Fractions for 819/68, 6448/704 is 13/11968.