How to Find GCF of 4387/511, 9671/6618?

GCF of 4387/511, 9671/6618

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 4387/511, 9671/6618 i.e 1/3381798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4387/511, 9671/6618.

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 4387/511,9671/6618?

Given fractions are 4387/511,9671/6618

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 4387/511,9671/6618, numerators are 4387,9671

Denominators are 511,6618

The GCF of 4387,9671 is 1 .

LCM of 511,6618 is 3381798.

The greatest common factor of 4387/511,9671/6618 = [GCF of 4387,9671]/[LCM of 511,6618]= 1/3381798

Therefore, the GCF of 4387/511,9671/6618 is 1/3381798.

Greatest Common Factor of 4387,9671

To find the highest common factor of 4387,9671, we have to find the factors of both numbers and list the highest common factor.

The factors of 4387 are 1, 41, 107, 4387

The factors of 9671 are 1, 19, 509, 9671

The HCF of 4387,9671 is 1.

Lets's calculate GCF of 4387,9671

Greatest Common Factor (GCF) of 4387,9671 By Common Division

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

Greatest Common Factor of 4387,9671 By Matching Biggest Common Factor Method

Now, list down the factors of 4387

1,41,107,4387

Now, list down the factors of 9671

1,19,509,9671

Greatest Common Factor

We found the factors 4387,9671 . The biggest common factor number is the GCF number.
So the greatest common factor 4387,9671 is 1.

Lets's calculate LCM of 511,6618

Lowest Common Multiple of 511,6618 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3381798

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3381798

Therefore, the GCF of Fractions 4387/511,9671/6618 is 1/3381798

Least Common Multiple of 511,6618 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 511,6618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(511,6618) = 1

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

GCF(511,6618) x common factors =1 x 1 = 1

LCM(511,6618) = ( 511 × 6618 ) / 1

LCM(511,6618) = 3381798 / 1

LCM(511,6618) = 3381798

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FAQs on GCF of Fractions of 4387/511, 9671/6618

1. What is the HCF of 4387,9671?

The HCF of 4387,9671 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 4387/511, 9671/6618?

Answer: GCF of Numerators as per given numbers 4387/511, 9671/6618 is

GCF of Numerators i.e. for 4387,9671 is 1

LCM of denominators i.e. for 511,6618 is 3381798.

Thus, GCF of Fractions is 1/3381798.Finally, GCF of Fractions for 4387/511, 9671/6618 is 1/3381798.