Greatest Common Factor of 8320/231, 3506/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8320/231, 3506/919

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 8320/231,3506/919

Given fractions are 8320/231,3506/919

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 8320,3506

Greatest Common Factor of Numerators i.e. GCF of 8320,3506 is 2 .

LCM of Denominators means LCM of 231,919 as per the given fractions.

LCM of 231,919 is 212289 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8320,3506

GCF of Fractions 8320/231,3506/919 is 2/212289

2 8320, 3506
4160, 1753

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

Greatest Common Factor of 8320,3506 By Matching Biggest Common Factor Method

Greatest Common Factor of 8320,3506 By Matching Biggest Common Factor Method

Factors of 8320

List of positive integer factors of 8320 that divides 8320 without a remainder.

1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,128,130,160,208,260,320,416,520,640,832,1040,1664,2080,4160,8320

Factors of 3506

List of positive integer factors of 3506 that divides 3506 without a remainder.

1,2,1753,3506

Greatest Common Factor

We found the factors 8320,3506 . The biggest common factor number is the GCF number.
So the greatest common factor 8320,3506 is 2.

Lets's calculate LCM of 231,919

Given numbers has no common factors except 1. So, there LCM is their product i.e 212289

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/212289

Therefore, the GCF of Fractions 8320/231,3506/919 is 2/212289

Least Common Multiple of 231,919 with GCF Formula

Least Common Multiple of 231,919 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 231,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,919) = 1

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

GCF(231,919) x common factors =1 x 1 = 1

LCM(231,919) = ( 231 × 919 ) / 1

LCM(231,919) = 212289 / 1

LCM(231,919) = 212289


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 8320/231, 3506/919

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 8320/231, 3506/919?

Answer: GCF of Numerators as per given numbers 8320/231, 3506/919 is

GCF of Numerators i.e. for 8320,3506 is 2

LCM of denominators i.e. for 231,919 is 212289.

Thus, GCF of Fractions is 2/212289.Finally, GCF of Fractions for 8320/231, 3506/919 is 2/212289.