Greatest Common Factor of 320/86, 553/17, 812/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 320/86, 553/17, 812/908

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 320/86,553/17,812/908

Given fractions are 320/86,553/17,812/908

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 320,553,812

Greatest Common Factor of Numerators i.e. GCF of 320,553,812 is 1 .

LCM of Denominators means LCM of 86,17,908 as per the given fractions.

LCM of 86,17,908 is 663748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 320,553,812

GCF of Fractions 320/86,553/17,812/908 is 1/663748

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 320,553,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,553,812 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 320,553,812 . The biggest common factor number is the GCF number.
So the greatest common factor 320,553,812 is 1.

Lets's calculate LCM of 86,17,908

2 86, 17, 908
43, 17, 454

∴ So the LCM of the given numbers is 2 x 43 x 17 x 454 = 663748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/663748

Therefore, the GCF of Fractions 320/86,553/17,812/908 is 1/663748

Least Common Multiple of 86,17,908 with GCF Formula

Least Common Multiple of 86,17,908 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 86,17,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,17,908) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(86,17,908) x common factors =1 x 2 = 2

LCM(86,17,908) = ( 86 × 17 × 908 ) / 2

LCM(86,17,908) = 1327496 / 2

LCM(86,17,908) = 663748


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 320/86, 553/17, 812/908

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 320/86, 553/17, 812/908?

Answer: GCF of Numerators as per given numbers 320/86, 553/17, 812/908 is

GCF of Numerators i.e. for 320,553,812 is 1

LCM of denominators i.e. for 86,17,908 is 663748.

Thus, GCF of Fractions is 1/663748.Finally, GCF of Fractions for 320/86, 553/17, 812/908 is 1/663748.