Greatest Common Factor of 7011/88, 9513/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7011/88, 9513/401

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 7011/88,9513/401

Given fractions are 7011/88,9513/401

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 7011,9513

Greatest Common Factor of Numerators i.e. GCF of 7011,9513 is 9 .

LCM of Denominators means LCM of 88,401 as per the given fractions.

LCM of 88,401 is 35288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7011,9513

GCF of Fractions 7011/88,9513/401 is 9/35288

3 7011, 9513
3 2337, 3171
779, 1057

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 7011,9513 By Matching Biggest Common Factor Method

Greatest Common Factor of 7011,9513 By Matching Biggest Common Factor Method

Factors of 7011

List of positive integer factors of 7011 that divides 7011 without a remainder.

1,3,9,19,41,57,123,171,369,779,2337,7011

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

Greatest Common Factor

We found the factors 7011,9513 . The biggest common factor number is the GCF number.
So the greatest common factor 7011,9513 is 9.

Lets's calculate LCM of 88,401

Given numbers has no common factors except 1. So, there LCM is their product i.e 35288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/35288

Therefore, the GCF of Fractions 7011/88,9513/401 is 9/35288

Least Common Multiple of 88,401 with GCF Formula

Least Common Multiple of 88,401 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 88,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,401) = 1

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

GCF(88,401) x common factors =1 x 1 = 1

LCM(88,401) = ( 88 × 401 ) / 1

LCM(88,401) = 35288 / 1

LCM(88,401) = 35288


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 7011/88, 9513/401

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 7011/88, 9513/401?

Answer: GCF of Numerators as per given numbers 7011/88, 9513/401 is

GCF of Numerators i.e. for 7011,9513 is 9

LCM of denominators i.e. for 88,401 is 35288.

Thus, GCF of Fractions is 9/35288.Finally, GCF of Fractions for 7011/88, 9513/401 is 9/35288.