Greatest Common Factor of 816/988, 6448/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 816/988, 6448/160

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 816/988,6448/160

Given fractions are 816/988,6448/160

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 816,6448

Greatest Common Factor of Numerators i.e. GCF of 816,6448 is 16 .

LCM of Denominators means LCM of 988,160 as per the given fractions.

LCM of 988,160 is 39520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 816,6448

GCF of Fractions 816/988,6448/160 is 16/39520

2 816, 6448
2 408, 3224
2 204, 1612
2 102, 806
51, 403

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 816,6448 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,6448 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

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 816,6448 . The biggest common factor number is the GCF number.
So the greatest common factor 816,6448 is 16.

Lets's calculate LCM of 988,160

2 988, 160
2 494, 80
247, 40

∴ So the LCM of the given numbers is 2 x 2 x 247 x 40 = 39520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/39520

Therefore, the GCF of Fractions 816/988,6448/160 is 16/39520

Least Common Multiple of 988,160 with GCF Formula

Least Common Multiple of 988,160 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 988,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,160) = 4

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

GCF(988,160) x common factors =4 x 1 = 4

LCM(988,160) = ( 988 × 160 ) / 4

LCM(988,160) = 158080 / 4

LCM(988,160) = 39520


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 816/988, 6448/160

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 816/988, 6448/160?

Answer: GCF of Numerators as per given numbers 816/988, 6448/160 is

GCF of Numerators i.e. for 816,6448 is 16

LCM of denominators i.e. for 988,160 is 39520.

Thus, GCF of Fractions is 16/39520.Finally, GCF of Fractions for 816/988, 6448/160 is 16/39520.