How to Find GCF of 9383/296, 2401/7617?

GCF of 9383/296, 2401/7617

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 9383/296, 2401/7617 i.e 1/2254632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9383/296, 2401/7617.

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 9383/296,2401/7617?

Given fractions are 9383/296,2401/7617

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 9383/296,2401/7617, numerators are 9383,2401

Denominators are 296,7617

The GCF of 9383,2401 is 1 .

LCM of 296,7617 is 2254632.

The greatest common factor of 9383/296,2401/7617 = [GCF of 9383,2401]/[LCM of 296,7617]= 1/2254632

Therefore, the GCF of 9383/296,2401/7617 is 1/2254632.

Greatest Common Factor of 9383,2401

To find the highest common factor of 9383,2401, we have to find the factors of both numbers and list the highest common factor.

The factors of 9383 are 1, 11, 853, 9383

The factors of 2401 are 1, 7, 49, 343, 2401

The HCF of 9383,2401 is 1.

Lets's calculate GCF of 9383,2401

Greatest Common Factor (GCF) of 9383,2401 By Common Division

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

Greatest Common Factor of 9383,2401 By Matching Biggest Common Factor Method

Now, list down the factors of 9383

1,11,853,9383

Now, list down the factors of 2401

1,7,49,343,2401

Greatest Common Factor

We found the factors 9383,2401 . The biggest common factor number is the GCF number.
So the greatest common factor 9383,2401 is 1.

Lets's calculate LCM of 296,7617

Lowest Common Multiple of 296,7617 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2254632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2254632

Therefore, the GCF of Fractions 9383/296,2401/7617 is 1/2254632

Least Common Multiple of 296,7617 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 296,7617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,7617) = 1

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

GCF(296,7617) x common factors =1 x 1 = 1

LCM(296,7617) = ( 296 × 7617 ) / 1

LCM(296,7617) = 2254632 / 1

LCM(296,7617) = 2254632

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9383/296, 2401/7617

1. What is the HCF of 9383,2401?

The HCF of 9383,2401 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 9383/296, 2401/7617?

Answer: GCF of Numerators as per given numbers 9383/296, 2401/7617 is

GCF of Numerators i.e. for 9383,2401 is 1

LCM of denominators i.e. for 296,7617 is 2254632.

Thus, GCF of Fractions is 1/2254632.Finally, GCF of Fractions for 9383/296, 2401/7617 is 1/2254632.