How to Find GCF of 8164/642, 3306/108?

GCF of 8164/642, 3306/108

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 8164/642, 3306/108 i.e 2/11556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8164/642, 3306/108.

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 8164/642,3306/108?

Given fractions are 8164/642,3306/108

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 8164/642,3306/108, numerators are 8164,3306

Denominators are 642,108

The GCF of 8164,3306 is 2 .

LCM of 642,108 is 11556.

The greatest common factor of 8164/642,3306/108 = [GCF of 8164,3306]/[LCM of 642,108]= 2/11556

Therefore, the GCF of 8164/642,3306/108 is 2/11556.

Greatest Common Factor of 8164,3306

To find the highest common factor of 8164,3306, we have to find the factors of both numbers and list the highest common factor.

The factors of 8164 are 1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164

The factors of 3306 are 1, 2, 3, 6, 19, 29, 38, 57, 58, 87, 114, 174, 551, 1102, 1653, 3306

The HCF of 8164,3306 is 2.

Lets's calculate GCF of 8164,3306

Greatest Common Factor (GCF) of 8164,3306 By Common Division

2	8164, 3306
	4082, 1653

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

Greatest Common Factor of 8164,3306 By Matching Biggest Common Factor Method

Now, list down the factors of 8164

1,2,4,13,26,52,157,314,628,2041,4082,8164

Now, list down the factors of 3306

1,2,3,6,19,29,38,57,58,87,114,174,551,1102,1653,3306

Greatest Common Factor

We found the factors 8164,3306 . The biggest common factor number is the GCF number.
So the greatest common factor 8164,3306 is 2.

Lets's calculate LCM of 642,108

Lowest Common Multiple of 642,108 using Common Division

2	642, 108
3	321, 54
	107, 18

∴ So the LCM of the given numbers is 2 x 3 x 107 x 18 = 11556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11556

Therefore, the GCF of Fractions 8164/642,3306/108 is 2/11556

Least Common Multiple of 642,108 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 642,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,108) = 6

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

GCF(642,108) x common factors =6 x 1 = 6

LCM(642,108) = ( 642 × 108 ) / 6

LCM(642,108) = 69336 / 6

LCM(642,108) = 11556

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FAQs on GCF of Fractions of 8164/642, 3306/108

1. What is the HCF of 8164,3306?

The HCF of 8164,3306 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 8164/642, 3306/108?

Answer: GCF of Numerators as per given numbers 8164/642, 3306/108 is

GCF of Numerators i.e. for 8164,3306 is 2

LCM of denominators i.e. for 642,108 is 11556.

Thus, GCF of Fractions is 2/11556.Finally, GCF of Fractions for 8164/642, 3306/108 is 2/11556.