How to Find GCF of 9233/242, 2713/8158?

GCF of 9233/242, 2713/8158

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 9233/242, 2713/8158 i.e 1/987118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9233/242, 2713/8158.

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 9233/242,2713/8158?

Given fractions are 9233/242,2713/8158

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 9233/242,2713/8158, numerators are 9233,2713

Denominators are 242,8158

The GCF of 9233,2713 is 1 .

LCM of 242,8158 is 987118.

The greatest common factor of 9233/242,2713/8158 = [GCF of 9233,2713]/[LCM of 242,8158]= 1/987118

Therefore, the GCF of 9233/242,2713/8158 is 1/987118.

Greatest Common Factor of 9233,2713

To find the highest common factor of 9233,2713, we have to find the factors of both numbers and list the highest common factor.

The factors of 9233 are 1, 7, 1319, 9233

The factors of 2713 are 1, 2713

The HCF of 9233,2713 is 1.

Lets's calculate GCF of 9233,2713

Greatest Common Factor (GCF) of 9233,2713 By Common Division

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

Greatest Common Factor of 9233,2713 By Matching Biggest Common Factor Method

Now, list down the factors of 9233

1,7,1319,9233

Now, list down the factors of 2713

1,2713

Greatest Common Factor

We found the factors 9233,2713 . The biggest common factor number is the GCF number.
So the greatest common factor 9233,2713 is 1.

Lets's calculate LCM of 242,8158

Lowest Common Multiple of 242,8158 using Common Division

2	242, 8158
	121, 4079

∴ So the LCM of the given numbers is 2 x 121 x 4079 = 987118

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/987118

Therefore, the GCF of Fractions 9233/242,2713/8158 is 1/987118

Least Common Multiple of 242,8158 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 242,8158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,8158) = 2

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

GCF(242,8158) x common factors =2 x 1 = 2

LCM(242,8158) = ( 242 × 8158 ) / 2

LCM(242,8158) = 1974236 / 2

LCM(242,8158) = 987118

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FAQs on GCF of Fractions of 9233/242, 2713/8158

1. What is the HCF of 9233,2713?

The HCF of 9233,2713 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 9233/242, 2713/8158?

Answer: GCF of Numerators as per given numbers 9233/242, 2713/8158 is

GCF of Numerators i.e. for 9233,2713 is 1

LCM of denominators i.e. for 242,8158 is 987118.

Thus, GCF of Fractions is 1/987118.Finally, GCF of Fractions for 9233/242, 2713/8158 is 1/987118.