Greatest Common Factor of 5800/263, 9110/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5800/263, 9110/270

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 5800/263,9110/270

Given fractions are 5800/263,9110/270

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 5800,9110

Greatest Common Factor of Numerators i.e. GCF of 5800,9110 is 10 .

LCM of Denominators means LCM of 263,270 as per the given fractions.

LCM of 263,270 is 71010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5800,9110

GCF of Fractions 5800/263,9110/270 is 10/71010

2 5800, 9110
5 2900, 4555
580, 911

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

Greatest Common Factor of 5800,9110 By Matching Biggest Common Factor Method

Greatest Common Factor of 5800,9110 By Matching Biggest Common Factor Method

Factors of 5800

List of positive integer factors of 5800 that divides 5800 without a remainder.

1,2,4,5,8,10,20,25,29,40,50,58,100,116,145,200,232,290,580,725,1160,1450,2900,5800

Factors of 9110

List of positive integer factors of 9110 that divides 9110 without a remainder.

1,2,5,10,911,1822,4555,9110

Greatest Common Factor

We found the factors 5800,9110 . The biggest common factor number is the GCF number.
So the greatest common factor 5800,9110 is 10.

Lets's calculate LCM of 263,270

Given numbers has no common factors except 1. So, there LCM is their product i.e 71010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/71010

Therefore, the GCF of Fractions 5800/263,9110/270 is 10/71010

Least Common Multiple of 263,270 with GCF Formula

Least Common Multiple of 263,270 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 263,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,270) = 1

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

GCF(263,270) x common factors =1 x 1 = 1

LCM(263,270) = ( 263 × 270 ) / 1

LCM(263,270) = 71010 / 1

LCM(263,270) = 71010


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 5800/263, 9110/270

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 5800/263, 9110/270?

Answer: GCF of Numerators as per given numbers 5800/263, 9110/270 is

GCF of Numerators i.e. for 5800,9110 is 10

LCM of denominators i.e. for 263,270 is 71010.

Thus, GCF of Fractions is 10/71010.Finally, GCF of Fractions for 5800/263, 9110/270 is 10/71010.