How to Find GCF of 9467/227, 4658/3720?

GCF of 9467/227, 4658/3720

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 9467/227, 4658/3720 i.e 1/844440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9467/227, 4658/3720.

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 9467/227,4658/3720?

Given fractions are 9467/227,4658/3720

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 9467/227,4658/3720, numerators are 9467,4658

Denominators are 227,3720

The GCF of 9467,4658 is 1 .

LCM of 227,3720 is 844440.

The greatest common factor of 9467/227,4658/3720 = [GCF of 9467,4658]/[LCM of 227,3720]= 1/844440

Therefore, the GCF of 9467/227,4658/3720 is 1/844440.

Greatest Common Factor of 9467,4658

To find the highest common factor of 9467,4658, we have to find the factors of both numbers and list the highest common factor.

The factors of 9467 are 1, 9467

The factors of 4658 are 1, 2, 17, 34, 137, 274, 2329, 4658

The HCF of 9467,4658 is 1.

Lets's calculate GCF of 9467,4658

Greatest Common Factor (GCF) of 9467,4658 By Common Division

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

Greatest Common Factor of 9467,4658 By Matching Biggest Common Factor Method

Now, list down the factors of 9467

1,9467

Now, list down the factors of 4658

1,2,17,34,137,274,2329,4658

Greatest Common Factor

We found the factors 9467,4658 . The biggest common factor number is the GCF number.
So the greatest common factor 9467,4658 is 1.

Lets's calculate LCM of 227,3720

Lowest Common Multiple of 227,3720 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 844440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/844440

Therefore, the GCF of Fractions 9467/227,4658/3720 is 1/844440

Least Common Multiple of 227,3720 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 227,3720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(227,3720) = 1

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

GCF(227,3720) x common factors =1 x 1 = 1

LCM(227,3720) = ( 227 × 3720 ) / 1

LCM(227,3720) = 844440 / 1

LCM(227,3720) = 844440

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FAQs on GCF of Fractions of 9467/227, 4658/3720

1. What is the HCF of 9467,4658?

The HCF of 9467,4658 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 9467/227, 4658/3720?

Answer: GCF of Numerators as per given numbers 9467/227, 4658/3720 is

GCF of Numerators i.e. for 9467,4658 is 1

LCM of denominators i.e. for 227,3720 is 844440.

Thus, GCF of Fractions is 1/844440.Finally, GCF of Fractions for 9467/227, 4658/3720 is 1/844440.