How to Find GCF of 8233/910, 9258/9659?

GCF of 8233/910, 9258/9659

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 8233/910, 9258/9659 i.e 1/676130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8233/910, 9258/9659.

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 8233/910,9258/9659?

Given fractions are 8233/910,9258/9659

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 8233/910,9258/9659, numerators are 8233,9258

Denominators are 910,9659

The GCF of 8233,9258 is 1 .

LCM of 910,9659 is 676130.

The greatest common factor of 8233/910,9258/9659 = [GCF of 8233,9258]/[LCM of 910,9659]= 1/676130

Therefore, the GCF of 8233/910,9258/9659 is 1/676130.

Greatest Common Factor of 8233,9258

To find the highest common factor of 8233,9258, we have to find the factors of both numbers and list the highest common factor.

The factors of 8233 are 1, 8233

The factors of 9258 are 1, 2, 3, 6, 1543, 3086, 4629, 9258

The HCF of 8233,9258 is 1.

Lets's calculate GCF of 8233,9258

Greatest Common Factor (GCF) of 8233,9258 By Common Division

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

Greatest Common Factor of 8233,9258 By Matching Biggest Common Factor Method

Now, list down the factors of 8233

1,8233

Now, list down the factors of 9258

1,2,3,6,1543,3086,4629,9258

Greatest Common Factor

We found the factors 8233,9258 . The biggest common factor number is the GCF number.
So the greatest common factor 8233,9258 is 1.

Lets's calculate LCM of 910,9659

Lowest Common Multiple of 910,9659 using Common Division

13	910, 9659
	70, 743

∴ So the LCM of the given numbers is 13 x 70 x 743 = 676130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/676130

Therefore, the GCF of Fractions 8233/910,9258/9659 is 1/676130

Least Common Multiple of 910,9659 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 910,9659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,9659) = 13

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

GCF(910,9659) x common factors =13 x 1 = 13

LCM(910,9659) = ( 910 × 9659 ) / 13

LCM(910,9659) = 8789690 / 13

LCM(910,9659) = 676130

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8233/910, 9258/9659

1. What is the HCF of 8233,9258?

The HCF of 8233,9258 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 8233/910, 9258/9659?

Answer: GCF of Numerators as per given numbers 8233/910, 9258/9659 is

GCF of Numerators i.e. for 8233,9258 is 1

LCM of denominators i.e. for 910,9659 is 676130.

Thus, GCF of Fractions is 1/676130.Finally, GCF of Fractions for 8233/910, 9258/9659 is 1/676130.