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GCF of 8706/165, 9812/1666

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 8706/165, 9812/1666 i.e 2/274890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8706/165, 9812/1666.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8706/165,9812/1666?

Given fractions are 8706/165,9812/1666

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 8706/165,9812/1666, numerators are 8706,9812

Denominators are 165,1666

The GCF of 8706,9812 is 2 .

LCM of 165,1666 is 274890.

The greatest common factor of 8706/165,9812/1666 = [GCF of 8706,9812]/[LCM of 165,1666]= 2/274890

Therefore, the GCF of 8706/165,9812/1666 is 2/274890.

Greatest Common Factor of 8706,9812

To find the highest common factor of 8706,9812, we have to find the factors of both numbers and list the highest common factor.

The factors of 8706 are 1, 2, 3, 6, 1451, 2902, 4353, 8706

The factors of 9812 are 1, 2, 4, 11, 22, 44, 223, 446, 892, 2453, 4906, 9812

The HCF of 8706,9812 is 2.

Lets's calculate GCF of 8706,9812

Greatest Common Factor (GCF) of 8706,9812 By Common Division

2 8706, 9812
4353, 4906

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8706,9812 By Matching Biggest Common Factor Method

Greatest Common Factor of 8706,9812 By Matching Biggest Common Factor Method

Now, list down the factors of 8706

:

1,2,3,6,1451,2902,4353,8706

Now, list down the factors of 9812

:

1,2,4,11,22,44,223,446,892,2453,4906,9812

Greatest Common Factor

We found the factors 8706,9812 . The biggest common factor number is the GCF number.
So the greatest common factor 8706,9812 is 2.


Lets's calculate LCM of 165,1666

Lowest Common Multiple of 165,1666 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 274890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/274890

Therefore, the GCF of Fractions 8706/165,9812/1666 is 2/274890

Least Common Multiple of 165,1666 with GCF Formula

Least Common Multiple of 165,1666 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 165,1666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,1666) = 1

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

GCF(165,1666) x common factors =1 x 1 = 1

LCM(165,1666) = ( 165 × 1666 ) / 1

LCM(165,1666) = 274890 / 1

LCM(165,1666) = 274890


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 8706/165, 9812/1666

1. What is the HCF of 8706,9812?

The HCF of 8706,9812 is 2

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 8706/165, 9812/1666?

Answer: GCF of Numerators as per given numbers 8706/165, 9812/1666 is

GCF of Numerators i.e. for 8706,9812 is 2

LCM of denominators i.e. for 165,1666 is 274890.

Thus, GCF of Fractions is 2/274890.Finally, GCF of Fractions for 8706/165, 9812/1666 is 2/274890.