Greatest Common Factor of 2320/85, 2228/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2320/85, 2228/588

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 2320/85,2228/588

Given fractions are 2320/85,2228/588

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 2320,2228

Greatest Common Factor of Numerators i.e. GCF of 2320,2228 is 4 .

LCM of Denominators means LCM of 85,588 as per the given fractions.

LCM of 85,588 is 49980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2320,2228

GCF of Fractions 2320/85,2228/588 is 4/49980

2 2320, 2228
2 1160, 1114
580, 557

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2320,2228 By Matching Biggest Common Factor Method

Greatest Common Factor of 2320,2228 By Matching Biggest Common Factor Method

Factors of 2320

List of positive integer factors of 2320 that divides 2320 without a remainder.

1,2,4,5,8,10,16,20,29,40,58,80,116,145,232,290,464,580,1160,2320

Factors of 2228

List of positive integer factors of 2228 that divides 2228 without a remainder.

1,2,4,557,1114,2228

Greatest Common Factor

We found the factors 2320,2228 . The biggest common factor number is the GCF number.
So the greatest common factor 2320,2228 is 4.

Lets's calculate LCM of 85,588

Given numbers has no common factors except 1. So, there LCM is their product i.e 49980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/49980

Therefore, the GCF of Fractions 2320/85,2228/588 is 4/49980

Least Common Multiple of 85,588 with GCF Formula

Least Common Multiple of 85,588 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 85,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,588) = 1

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

GCF(85,588) x common factors =1 x 1 = 1

LCM(85,588) = ( 85 × 588 ) / 1

LCM(85,588) = 49980 / 1

LCM(85,588) = 49980


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 2320/85, 2228/588

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 2320/85, 2228/588?

Answer: GCF of Numerators as per given numbers 2320/85, 2228/588 is

GCF of Numerators i.e. for 2320,2228 is 4

LCM of denominators i.e. for 85,588 is 49980.

Thus, GCF of Fractions is 4/49980.Finally, GCF of Fractions for 2320/85, 2228/588 is 4/49980.