How to Find GCF of 7341/666, 4058/2328?

GCF of 7341/666, 4058/2328

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 7341/666, 4058/2328 i.e 1/258408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7341/666, 4058/2328.

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 7341/666,4058/2328?

Given fractions are 7341/666,4058/2328

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 7341/666,4058/2328, numerators are 7341,4058

Denominators are 666,2328

The GCF of 7341,4058 is 1 .

LCM of 666,2328 is 258408.

The greatest common factor of 7341/666,4058/2328 = [GCF of 7341,4058]/[LCM of 666,2328]= 1/258408

Therefore, the GCF of 7341/666,4058/2328 is 1/258408.

Greatest Common Factor of 7341,4058

To find the highest common factor of 7341,4058, we have to find the factors of both numbers and list the highest common factor.

The factors of 7341 are 1, 3, 2447, 7341

The factors of 4058 are 1, 2, 2029, 4058

The HCF of 7341,4058 is 1.

Lets's calculate GCF of 7341,4058

Greatest Common Factor (GCF) of 7341,4058 By Common Division

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

Greatest Common Factor of 7341,4058 By Matching Biggest Common Factor Method

Now, list down the factors of 7341

1,3,2447,7341

Now, list down the factors of 4058

1,2,2029,4058

Greatest Common Factor

We found the factors 7341,4058 . The biggest common factor number is the GCF number.
So the greatest common factor 7341,4058 is 1.

Lets's calculate LCM of 666,2328

Lowest Common Multiple of 666,2328 using Common Division

2	666, 2328
3	333, 1164
	111, 388

∴ So the LCM of the given numbers is 2 x 3 x 111 x 388 = 258408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/258408

Therefore, the GCF of Fractions 7341/666,4058/2328 is 1/258408

Least Common Multiple of 666,2328 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 666,2328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,2328) = 6

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

GCF(666,2328) x common factors =6 x 1 = 6

LCM(666,2328) = ( 666 × 2328 ) / 6

LCM(666,2328) = 1550448 / 6

LCM(666,2328) = 258408

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FAQs on GCF of Fractions of 7341/666, 4058/2328

1. What is the HCF of 7341,4058?

The HCF of 7341,4058 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 7341/666, 4058/2328?

Answer: GCF of Numerators as per given numbers 7341/666, 4058/2328 is

GCF of Numerators i.e. for 7341,4058 is 1

LCM of denominators i.e. for 666,2328 is 258408.

Thus, GCF of Fractions is 1/258408.Finally, GCF of Fractions for 7341/666, 4058/2328 is 1/258408.