Greatest Common Factor of 526/509, 9488/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 526/509, 9488/259

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 526/509,9488/259

Given fractions are 526/509,9488/259

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 526,9488

Greatest Common Factor of Numerators i.e. GCF of 526,9488 is 2 .

LCM of Denominators means LCM of 509,259 as per the given fractions.

LCM of 509,259 is 131831 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 526,9488

GCF of Fractions 526/509,9488/259 is 2/131831

2 526, 9488
263, 4744

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

Greatest Common Factor of 526,9488 By Matching Biggest Common Factor Method

Greatest Common Factor of 526,9488 By Matching Biggest Common Factor Method

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 9488

List of positive integer factors of 9488 that divides 9488 without a remainder.

1,2,4,8,16,593,1186,2372,4744,9488

Greatest Common Factor

We found the factors 526,9488 . The biggest common factor number is the GCF number.
So the greatest common factor 526,9488 is 2.

Lets's calculate LCM of 509,259

Given numbers has no common factors except 1. So, there LCM is their product i.e 131831

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/131831

Therefore, the GCF of Fractions 526/509,9488/259 is 2/131831

Least Common Multiple of 509,259 with GCF Formula

Least Common Multiple of 509,259 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 509,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,259) = 1

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

GCF(509,259) x common factors =1 x 1 = 1

LCM(509,259) = ( 509 × 259 ) / 1

LCM(509,259) = 131831 / 1

LCM(509,259) = 131831


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 526/509, 9488/259

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 526/509, 9488/259?

Answer: GCF of Numerators as per given numbers 526/509, 9488/259 is

GCF of Numerators i.e. for 526,9488 is 2

LCM of denominators i.e. for 509,259 is 131831.

Thus, GCF of Fractions is 2/131831.Finally, GCF of Fractions for 526/509, 9488/259 is 2/131831.