Greatest Common Factor of 310/8584, 720/3313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 310/8584, 720/3313

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 310/8584,720/3313

Given fractions are 310/8584,720/3313

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 310,720

Greatest Common Factor of Numerators i.e. GCF of 310,720 is 10 .

LCM of Denominators means LCM of 8584,3313 as per the given fractions.

LCM of 8584,3313 is 28438792 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 310,720

GCF of Fractions 310/8584,720/3313 is 10/28438792

2 310, 720
5 155, 360
31, 72

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 310,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,720 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 310,720 . The biggest common factor number is the GCF number.
So the greatest common factor 310,720 is 10.

Lets's calculate LCM of 8584,3313

Given numbers has no common factors except 1. So, there LCM is their product i.e 28438792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/28438792

Therefore, the GCF of Fractions 310/8584,720/3313 is 10/28438792

Least Common Multiple of 8584,3313 with GCF Formula

Least Common Multiple of 8584,3313 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 8584,3313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8584,3313) = 1

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

GCF(8584,3313) x common factors =1 x 1 = 1

LCM(8584,3313) = ( 8584 × 3313 ) / 1

LCM(8584,3313) = 28438792 / 1

LCM(8584,3313) = 28438792


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 310/8584, 720/3313

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 310/8584, 720/3313?

Answer: GCF of Numerators as per given numbers 310/8584, 720/3313 is

GCF of Numerators i.e. for 310,720 is 10

LCM of denominators i.e. for 8584,3313 is 28438792.

Thus, GCF of Fractions is 10/28438792.Finally, GCF of Fractions for 310/8584, 720/3313 is 10/28438792.