How to Find GCF of 7335/228, 9578/561?

GCF of 7335/228, 9578/561

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 7335/228, 9578/561 i.e 1/42636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7335/228, 9578/561.

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 7335/228,9578/561?

Given fractions are 7335/228,9578/561

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 7335/228,9578/561, numerators are 7335,9578

Denominators are 228,561

The GCF of 7335,9578 is 1 .

LCM of 228,561 is 42636.

The greatest common factor of 7335/228,9578/561 = [GCF of 7335,9578]/[LCM of 228,561]= 1/42636

Therefore, the GCF of 7335/228,9578/561 is 1/42636.

Greatest Common Factor of 7335,9578

To find the highest common factor of 7335,9578, 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 9578 are 1, 2, 4789, 9578

The HCF of 7335,9578 is 1.

Lets's calculate GCF of 7335,9578

Greatest Common Factor (GCF) of 7335,9578 By Common Division

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

Greatest Common Factor of 7335,9578 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 9578

1,2,4789,9578

Greatest Common Factor

We found the factors 7335,9578 . The biggest common factor number is the GCF number.
So the greatest common factor 7335,9578 is 1.

Lets's calculate LCM of 228,561

Lowest Common Multiple of 228,561 using Common Division

3	228, 561
	76, 187

∴ So the LCM of the given numbers is 3 x 76 x 187 = 42636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42636

Therefore, the GCF of Fractions 7335/228,9578/561 is 1/42636

Least Common Multiple of 228,561 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 228,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,561) = 3

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

GCF(228,561) x common factors =3 x 1 = 3

LCM(228,561) = ( 228 × 561 ) / 3

LCM(228,561) = 127908 / 3

LCM(228,561) = 42636

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FAQs on GCF of Fractions of 7335/228, 9578/561

1. What is the HCF of 7335,9578?

The HCF of 7335,9578 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 7335/228, 9578/561?

Answer: GCF of Numerators as per given numbers 7335/228, 9578/561 is

GCF of Numerators i.e. for 7335,9578 is 1

LCM of denominators i.e. for 228,561 is 42636.

Thus, GCF of Fractions is 1/42636.Finally, GCF of Fractions for 7335/228, 9578/561 is 1/42636.