How to Find GCF of 9633/154, 1013/1389?

GCF of 9633/154, 1013/1389

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 9633/154, 1013/1389 i.e 1/213906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9633/154, 1013/1389.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 9633/154,1013/1389?

Given fractions are 9633/154,1013/1389

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9633/154,1013/1389, numerators are 9633,1013

Denominators are 154,1389

The GCF of 9633,1013 is 1 .

LCM of 154,1389 is 213906.

The greatest common factor of 9633/154,1013/1389 = [GCF of 9633,1013]/[LCM of 154,1389]= 1/213906

Therefore, the GCF of 9633/154,1013/1389 is 1/213906.

Greatest Common Factor of 9633,1013

To find the highest common factor of 9633,1013, we have to find the factors of both numbers and list the highest common factor.

The factors of 9633 are 1, 3, 13, 19, 39, 57, 169, 247, 507, 741, 3211, 9633

The factors of 1013 are 1, 1013

The HCF of 9633,1013 is 1.

Lets's calculate GCF of 9633,1013

Greatest Common Factor (GCF) of 9633,1013 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9633,1013 By Matching Biggest Common Factor Method

Now, list down the factors of 9633

1,3,13,19,39,57,169,247,507,741,3211,9633

Now, list down the factors of 1013

1,1013

Greatest Common Factor

We found the factors 9633,1013 . The biggest common factor number is the GCF number.
So the greatest common factor 9633,1013 is 1.

Lets's calculate LCM of 154,1389

Lowest Common Multiple of 154,1389 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 213906

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213906

Therefore, the GCF of Fractions 9633/154,1013/1389 is 1/213906

Least Common Multiple of 154,1389 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 154,1389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,1389) = 1

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

GCF(154,1389) x common factors =1 x 1 = 1

LCM(154,1389) = ( 154 × 1389 ) / 1

LCM(154,1389) = 213906 / 1

LCM(154,1389) = 213906

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9633/154, 1013/1389

1. What is the HCF of 9633,1013?

The HCF of 9633,1013 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 9633/154, 1013/1389?

Answer: GCF of Numerators as per given numbers 9633/154, 1013/1389 is

GCF of Numerators i.e. for 9633,1013 is 1

LCM of denominators i.e. for 154,1389 is 213906.

Thus, GCF of Fractions is 1/213906.Finally, GCF of Fractions for 9633/154, 1013/1389 is 1/213906.