Greatest Common Factor of 9513/525, 9947/227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9513/525, 9947/227

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 9513/525,9947/227

Given fractions are 9513/525,9947/227

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 9513,9947

Greatest Common Factor of Numerators i.e. GCF of 9513,9947 is 7 .

LCM of Denominators means LCM of 525,227 as per the given fractions.

LCM of 525,227 is 119175 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9513,9947

GCF of Fractions 9513/525,9947/227 is 7/119175

7 9513, 9947
1359, 1421

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 9513,9947 By Matching Biggest Common Factor Method

Greatest Common Factor of 9513,9947 By Matching Biggest Common Factor Method

Factors of 9513

List of positive integer factors of 9513 that divides 9513 without a remainder.

1,3,7,9,21,63,151,453,1057,1359,3171,9513

Factors of 9947

List of positive integer factors of 9947 that divides 9947 without a remainder.

1,7,29,49,203,343,1421,9947

Greatest Common Factor

We found the factors 9513,9947 . The biggest common factor number is the GCF number.
So the greatest common factor 9513,9947 is 7.

Lets's calculate LCM of 525,227

Given numbers has no common factors except 1. So, there LCM is their product i.e 119175

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/119175

Therefore, the GCF of Fractions 9513/525,9947/227 is 7/119175

Least Common Multiple of 525,227 with GCF Formula

Least Common Multiple of 525,227 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 525,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,227) = 1

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

GCF(525,227) x common factors =1 x 1 = 1

LCM(525,227) = ( 525 × 227 ) / 1

LCM(525,227) = 119175 / 1

LCM(525,227) = 119175


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 9513/525, 9947/227

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 9513/525, 9947/227?

Answer: GCF of Numerators as per given numbers 9513/525, 9947/227 is

GCF of Numerators i.e. for 9513,9947 is 7

LCM of denominators i.e. for 525,227 is 119175.

Thus, GCF of Fractions is 7/119175.Finally, GCF of Fractions for 9513/525, 9947/227 is 7/119175.