How to Find GCF of 1539/399, 9111/3754?

GCF of 1539/399, 9111/3754

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 1539/399, 9111/3754 i.e 3/1497846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1539/399, 9111/3754.

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 1539/399,9111/3754?

Given fractions are 1539/399,9111/3754

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 1539/399,9111/3754, numerators are 1539,9111

Denominators are 399,3754

The GCF of 1539,9111 is 3 .

LCM of 399,3754 is 1497846.

The greatest common factor of 1539/399,9111/3754 = [GCF of 1539,9111]/[LCM of 399,3754]= 3/1497846

Therefore, the GCF of 1539/399,9111/3754 is 3/1497846.

Greatest Common Factor of 1539,9111

To find the highest common factor of 1539,9111, we have to find the factors of both numbers and list the highest common factor.

The factors of 1539 are 1, 3, 9, 19, 27, 57, 81, 171, 513, 1539

The factors of 9111 are 1, 3, 3037, 9111

The HCF of 1539,9111 is 3.

Lets's calculate GCF of 1539,9111

Greatest Common Factor (GCF) of 1539,9111 By Common Division

3	1539, 9111
	513, 3037

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1539,9111 By Matching Biggest Common Factor Method

Now, list down the factors of 1539

1,3,9,19,27,57,81,171,513,1539

Now, list down the factors of 9111

1,3,3037,9111

Greatest Common Factor

We found the factors 1539,9111 . The biggest common factor number is the GCF number.
So the greatest common factor 1539,9111 is 3.

Lets's calculate LCM of 399,3754

Lowest Common Multiple of 399,3754 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1497846

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1497846

Therefore, the GCF of Fractions 1539/399,9111/3754 is 3/1497846

Least Common Multiple of 399,3754 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 399,3754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,3754) = 1

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

GCF(399,3754) x common factors =1 x 1 = 1

LCM(399,3754) = ( 399 × 3754 ) / 1

LCM(399,3754) = 1497846 / 1

LCM(399,3754) = 1497846

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FAQs on GCF of Fractions of 1539/399, 9111/3754

1. What is the HCF of 1539,9111?

The HCF of 1539,9111 is 3

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 1539/399, 9111/3754?

Answer: GCF of Numerators as per given numbers 1539/399, 9111/3754 is

GCF of Numerators i.e. for 1539,9111 is 3

LCM of denominators i.e. for 399,3754 is 1497846.

Thus, GCF of Fractions is 3/1497846.Finally, GCF of Fractions for 1539/399, 9111/3754 is 3/1497846.