How to Find GCF of 4686/206, 3509/5611?

GCF of 4686/206, 3509/5611

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 4686/206, 3509/5611 i.e 11/1155866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4686/206, 3509/5611.

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 4686/206,3509/5611?

Given fractions are 4686/206,3509/5611

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 4686/206,3509/5611, numerators are 4686,3509

Denominators are 206,5611

The GCF of 4686,3509 is 11 .

LCM of 206,5611 is 1155866.

The greatest common factor of 4686/206,3509/5611 = [GCF of 4686,3509]/[LCM of 206,5611]= 11/1155866

Therefore, the GCF of 4686/206,3509/5611 is 11/1155866.

Greatest Common Factor of 4686,3509

To find the highest common factor of 4686,3509, we have to find the factors of both numbers and list the highest common factor.

The factors of 4686 are 1, 2, 3, 6, 11, 22, 33, 66, 71, 142, 213, 426, 781, 1562, 2343, 4686

The factors of 3509 are 1, 11, 29, 121, 319, 3509

The HCF of 4686,3509 is 11.

Lets's calculate GCF of 4686,3509

Greatest Common Factor (GCF) of 4686,3509 By Common Division

11	4686, 3509
	426, 319

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 4686,3509 By Matching Biggest Common Factor Method

Now, list down the factors of 4686

1,2,3,6,11,22,33,66,71,142,213,426,781,1562,2343,4686

Now, list down the factors of 3509

1,11,29,121,319,3509

Greatest Common Factor

We found the factors 4686,3509 . The biggest common factor number is the GCF number.
So the greatest common factor 4686,3509 is 11.

Lets's calculate LCM of 206,5611

Lowest Common Multiple of 206,5611 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1155866

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1155866

Therefore, the GCF of Fractions 4686/206,3509/5611 is 11/1155866

Least Common Multiple of 206,5611 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 206,5611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,5611) = 1

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

GCF(206,5611) x common factors =1 x 1 = 1

LCM(206,5611) = ( 206 × 5611 ) / 1

LCM(206,5611) = 1155866 / 1

LCM(206,5611) = 1155866

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FAQs on GCF of Fractions of 4686/206, 3509/5611

1. What is the HCF of 4686,3509?

The HCF of 4686,3509 is 11

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 4686/206, 3509/5611?

Answer: GCF of Numerators as per given numbers 4686/206, 3509/5611 is

GCF of Numerators i.e. for 4686,3509 is 11

LCM of denominators i.e. for 206,5611 is 1155866.

Thus, GCF of Fractions is 11/1155866.Finally, GCF of Fractions for 4686/206, 3509/5611 is 11/1155866.