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GCF of 8233/108, 2167/2461

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 8233/108, 2167/2461 i.e 1/265788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8233/108, 2167/2461.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 8233/108,2167/2461?

Given fractions are 8233/108,2167/2461

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 8233/108,2167/2461, numerators are 8233,2167

Denominators are 108,2461

The GCF of 8233,2167 is 1 .

LCM of 108,2461 is 265788.

The greatest common factor of 8233/108,2167/2461 = [GCF of 8233,2167]/[LCM of 108,2461]= 1/265788

Therefore, the GCF of 8233/108,2167/2461 is 1/265788.

Greatest Common Factor of 8233,2167

To find the highest common factor of 8233,2167, 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 2167 are 1, 11, 197, 2167

The HCF of 8233,2167 is 1.

Lets's calculate GCF of 8233,2167

Greatest Common Factor (GCF) of 8233,2167 By Common Division

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

Greatest Common Factor of 8233,2167 By Matching Biggest Common Factor Method

Greatest Common Factor of 8233,2167 By Matching Biggest Common Factor Method

Now, list down the factors of 8233

:

1,8233

Now, list down the factors of 2167

:

1,11,197,2167

Greatest Common Factor

We found the factors 8233,2167 . The biggest common factor number is the GCF number.
So the greatest common factor 8233,2167 is 1.

Lets's calculate LCM of 108,2461

Lowest Common Multiple of 108,2461 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 265788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265788

Therefore, the GCF of Fractions 8233/108,2167/2461 is 1/265788

Least Common Multiple of 108,2461 with GCF Formula

Least Common Multiple of 108,2461 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 108,2461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,2461) = 1

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

GCF(108,2461) x common factors =1 x 1 = 1

LCM(108,2461) = ( 108 × 2461 ) / 1

LCM(108,2461) = 265788 / 1

LCM(108,2461) = 265788


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FAQs on GCF of Fractions of 8233/108, 2167/2461

1. What is the HCF of 8233,2167?

The HCF of 8233,2167 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 8233/108, 2167/2461?

Answer: GCF of Numerators as per given numbers 8233/108, 2167/2461 is

GCF of Numerators i.e. for 8233,2167 is 1

LCM of denominators i.e. for 108,2461 is 265788.

Thus, GCF of Fractions is 1/265788.Finally, GCF of Fractions for 8233/108, 2167/2461 is 1/265788.