How to Find GCF of 7229/733, 9341/3859?

GCF of 7229/733, 9341/3859

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 7229/733, 9341/3859 i.e 1/2828647 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7229/733, 9341/3859.

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 7229/733,9341/3859?

Given fractions are 7229/733,9341/3859

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 7229/733,9341/3859, numerators are 7229,9341

Denominators are 733,3859

The GCF of 7229,9341 is 1 .

LCM of 733,3859 is 2828647.

The greatest common factor of 7229/733,9341/3859 = [GCF of 7229,9341]/[LCM of 733,3859]= 1/2828647

Therefore, the GCF of 7229/733,9341/3859 is 1/2828647.

Greatest Common Factor of 7229,9341

To find the highest common factor of 7229,9341, we have to find the factors of both numbers and list the highest common factor.

The factors of 7229 are 1, 7229

The factors of 9341 are 1, 9341

The HCF of 7229,9341 is 1.

Lets's calculate GCF of 7229,9341

Greatest Common Factor (GCF) of 7229,9341 By Common Division

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

Greatest Common Factor of 7229,9341 By Matching Biggest Common Factor Method

Now, list down the factors of 7229

1,7229

Now, list down the factors of 9341

1,9341

Greatest Common Factor

We found the factors 7229,9341 . The biggest common factor number is the GCF number.
So the greatest common factor 7229,9341 is 1.

Lets's calculate LCM of 733,3859

Lowest Common Multiple of 733,3859 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2828647

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2828647

Therefore, the GCF of Fractions 7229/733,9341/3859 is 1/2828647

Least Common Multiple of 733,3859 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 733,3859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,3859) = 1

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

GCF(733,3859) x common factors =1 x 1 = 1

LCM(733,3859) = ( 733 × 3859 ) / 1

LCM(733,3859) = 2828647 / 1

LCM(733,3859) = 2828647

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FAQs on GCF of Fractions of 7229/733, 9341/3859

1. What is the HCF of 7229,9341?

The HCF of 7229,9341 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 7229/733, 9341/3859?

Answer: GCF of Numerators as per given numbers 7229/733, 9341/3859 is

GCF of Numerators i.e. for 7229,9341 is 1

LCM of denominators i.e. for 733,3859 is 2828647.

Thus, GCF of Fractions is 1/2828647.Finally, GCF of Fractions for 7229/733, 9341/3859 is 1/2828647.