How to Find GCF of 4329/318, 2687/8741?

GCF of 4329/318, 2687/8741

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 4329/318, 2687/8741 i.e 1/2779638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4329/318, 2687/8741.

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 4329/318,2687/8741?

Given fractions are 4329/318,2687/8741

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 4329/318,2687/8741, numerators are 4329,2687

Denominators are 318,8741

The GCF of 4329,2687 is 1 .

LCM of 318,8741 is 2779638.

The greatest common factor of 4329/318,2687/8741 = [GCF of 4329,2687]/[LCM of 318,8741]= 1/2779638

Therefore, the GCF of 4329/318,2687/8741 is 1/2779638.

Greatest Common Factor of 4329,2687

To find the highest common factor of 4329,2687, we have to find the factors of both numbers and list the highest common factor.

The factors of 4329 are 1, 3, 9, 13, 37, 39, 111, 117, 333, 481, 1443, 4329

The factors of 2687 are 1, 2687

The HCF of 4329,2687 is 1.

Lets's calculate GCF of 4329,2687

Greatest Common Factor (GCF) of 4329,2687 By Common Division

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

Greatest Common Factor of 4329,2687 By Matching Biggest Common Factor Method

Now, list down the factors of 4329

1,3,9,13,37,39,111,117,333,481,1443,4329

Now, list down the factors of 2687

1,2687

Greatest Common Factor

We found the factors 4329,2687 . The biggest common factor number is the GCF number.
So the greatest common factor 4329,2687 is 1.

Lets's calculate LCM of 318,8741

Lowest Common Multiple of 318,8741 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2779638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2779638

Therefore, the GCF of Fractions 4329/318,2687/8741 is 1/2779638

Least Common Multiple of 318,8741 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 318,8741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,8741) = 1

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

GCF(318,8741) x common factors =1 x 1 = 1

LCM(318,8741) = ( 318 × 8741 ) / 1

LCM(318,8741) = 2779638 / 1

LCM(318,8741) = 2779638

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FAQs on GCF of Fractions of 4329/318, 2687/8741

1. What is the HCF of 4329,2687?

The HCF of 4329,2687 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 4329/318, 2687/8741?

Answer: GCF of Numerators as per given numbers 4329/318, 2687/8741 is

GCF of Numerators i.e. for 4329,2687 is 1

LCM of denominators i.e. for 318,8741 is 2779638.

Thus, GCF of Fractions is 1/2779638.Finally, GCF of Fractions for 4329/318, 2687/8741 is 1/2779638.