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GCF of 2281/146, 5233/7320

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 2281/146, 5233/7320 i.e 1/534360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2281/146, 5233/7320.

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 2281/146,5233/7320?

Given fractions are 2281/146,5233/7320

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 2281/146,5233/7320, numerators are 2281,5233

Denominators are 146,7320

The GCF of 2281,5233 is 1 .

LCM of 146,7320 is 534360.

The greatest common factor of 2281/146,5233/7320 = [GCF of 2281,5233]/[LCM of 146,7320]= 1/534360

Therefore, the GCF of 2281/146,5233/7320 is 1/534360.

Greatest Common Factor of 2281,5233

To find the highest common factor of 2281,5233, we have to find the factors of both numbers and list the highest common factor.

The factors of 2281 are 1, 2281

The factors of 5233 are 1, 5233

The HCF of 2281,5233 is 1.

Lets's calculate GCF of 2281,5233

Greatest Common Factor (GCF) of 2281,5233 By Common Division

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

Greatest Common Factor of 2281,5233 By Matching Biggest Common Factor Method

Greatest Common Factor of 2281,5233 By Matching Biggest Common Factor Method

Now, list down the factors of 2281

:

1,2281

Now, list down the factors of 5233

:

1,5233

Greatest Common Factor

We found the factors 2281,5233 . The biggest common factor number is the GCF number.
So the greatest common factor 2281,5233 is 1.

Lets's calculate LCM of 146,7320

Lowest Common Multiple of 146,7320 using Common Division

2 146, 7320
73, 3660

∴ So the LCM of the given numbers is 2 x 73 x 3660 = 534360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/534360

Therefore, the GCF of Fractions 2281/146,5233/7320 is 1/534360

Least Common Multiple of 146,7320 with GCF Formula

Least Common Multiple of 146,7320 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 146,7320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,7320) = 2

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

GCF(146,7320) x common factors =2 x 1 = 2

LCM(146,7320) = ( 146 × 7320 ) / 2

LCM(146,7320) = 1068720 / 2

LCM(146,7320) = 534360


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FAQs on GCF of Fractions of 2281/146, 5233/7320

1. What is the HCF of 2281,5233?

The HCF of 2281,5233 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 2281/146, 5233/7320?

Answer: GCF of Numerators as per given numbers 2281/146, 5233/7320 is

GCF of Numerators i.e. for 2281,5233 is 1

LCM of denominators i.e. for 146,7320 is 534360.

Thus, GCF of Fractions is 1/534360.Finally, GCF of Fractions for 2281/146, 5233/7320 is 1/534360.