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GCF of 7335/483, 1581/9034

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 7335/483, 1581/9034 i.e 3/4363422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7335/483, 1581/9034.

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 7335/483,1581/9034?

Given fractions are 7335/483,1581/9034

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 7335/483,1581/9034, numerators are 7335,1581

Denominators are 483,9034

The GCF of 7335,1581 is 3 .

LCM of 483,9034 is 4363422.

The greatest common factor of 7335/483,1581/9034 = [GCF of 7335,1581]/[LCM of 483,9034]= 3/4363422

Therefore, the GCF of 7335/483,1581/9034 is 3/4363422.

Greatest Common Factor of 7335,1581

To find the highest common factor of 7335,1581, we have to find the factors of both numbers and list the highest common factor.

The factors of 7335 are 1, 3, 5, 9, 15, 45, 163, 489, 815, 1467, 2445, 7335

The factors of 1581 are 1, 3, 17, 31, 51, 93, 527, 1581

The HCF of 7335,1581 is 3.

Lets's calculate GCF of 7335,1581

Greatest Common Factor (GCF) of 7335,1581 By Common Division

3 7335, 1581
2445, 527

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7335,1581 By Matching Biggest Common Factor Method

Greatest Common Factor of 7335,1581 By Matching Biggest Common Factor Method

Now, list down the factors of 7335

:

1,3,5,9,15,45,163,489,815,1467,2445,7335

Now, list down the factors of 1581

:

1,3,17,31,51,93,527,1581

Greatest Common Factor

We found the factors 7335,1581 . The biggest common factor number is the GCF number.
So the greatest common factor 7335,1581 is 3.


Lets's calculate LCM of 483,9034

Lowest Common Multiple of 483,9034 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4363422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4363422

Therefore, the GCF of Fractions 7335/483,1581/9034 is 3/4363422

Least Common Multiple of 483,9034 with GCF Formula

Least Common Multiple of 483,9034 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 483,9034 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,9034) = 1

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

GCF(483,9034) x common factors =1 x 1 = 1

LCM(483,9034) = ( 483 × 9034 ) / 1

LCM(483,9034) = 4363422 / 1

LCM(483,9034) = 4363422


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 7335/483, 1581/9034

1. What is the HCF of 7335,1581?

The HCF of 7335,1581 is 3

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 7335/483, 1581/9034?

Answer: GCF of Numerators as per given numbers 7335/483, 1581/9034 is

GCF of Numerators i.e. for 7335,1581 is 3

LCM of denominators i.e. for 483,9034 is 4363422.

Thus, GCF of Fractions is 3/4363422.Finally, GCF of Fractions for 7335/483, 1581/9034 is 3/4363422.