How to Find GCF of 4132/168, 6611/4618?

GCF of 4132/168, 6611/4618

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 4132/168, 6611/4618 i.e 1/387912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4132/168, 6611/4618.

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 4132/168,6611/4618?

Given fractions are 4132/168,6611/4618

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 4132/168,6611/4618, numerators are 4132,6611

Denominators are 168,4618

The GCF of 4132,6611 is 1 .

LCM of 168,4618 is 387912.

The greatest common factor of 4132/168,6611/4618 = [GCF of 4132,6611]/[LCM of 168,4618]= 1/387912

Therefore, the GCF of 4132/168,6611/4618 is 1/387912.

Greatest Common Factor of 4132,6611

To find the highest common factor of 4132,6611, we have to find the factors of both numbers and list the highest common factor.

The factors of 4132 are 1, 2, 4, 1033, 2066, 4132

The factors of 6611 are 1, 11, 601, 6611

The HCF of 4132,6611 is 1.

Lets's calculate GCF of 4132,6611

Greatest Common Factor (GCF) of 4132,6611 By Common Division

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

Greatest Common Factor of 4132,6611 By Matching Biggest Common Factor Method

Now, list down the factors of 4132

1,2,4,1033,2066,4132

Now, list down the factors of 6611

1,11,601,6611

Greatest Common Factor

We found the factors 4132,6611 . The biggest common factor number is the GCF number.
So the greatest common factor 4132,6611 is 1.

Lets's calculate LCM of 168,4618

Lowest Common Multiple of 168,4618 using Common Division

2	168, 4618
	84, 2309

∴ So the LCM of the given numbers is 2 x 84 x 2309 = 387912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/387912

Therefore, the GCF of Fractions 4132/168,6611/4618 is 1/387912

Least Common Multiple of 168,4618 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 168,4618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,4618) = 2

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

GCF(168,4618) x common factors =2 x 1 = 2

LCM(168,4618) = ( 168 × 4618 ) / 2

LCM(168,4618) = 775824 / 2

LCM(168,4618) = 387912

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FAQs on GCF of Fractions of 4132/168, 6611/4618

1. What is the HCF of 4132,6611?

The HCF of 4132,6611 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 4132/168, 6611/4618?

Answer: GCF of Numerators as per given numbers 4132/168, 6611/4618 is

GCF of Numerators i.e. for 4132,6611 is 1

LCM of denominators i.e. for 168,4618 is 387912.

Thus, GCF of Fractions is 1/387912.Finally, GCF of Fractions for 4132/168, 6611/4618 is 1/387912.