How to Find GCF of 3684/381, 6108/584?

GCF of 3684/381, 6108/584

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 3684/381, 6108/584 i.e 12/222504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3684/381, 6108/584.

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 3684/381,6108/584?

Given fractions are 3684/381,6108/584

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 3684/381,6108/584, numerators are 3684,6108

Denominators are 381,584

The GCF of 3684,6108 is 12 .

LCM of 381,584 is 222504.

The greatest common factor of 3684/381,6108/584 = [GCF of 3684,6108]/[LCM of 381,584]= 12/222504

Therefore, the GCF of 3684/381,6108/584 is 12/222504.

Greatest Common Factor of 3684,6108

To find the highest common factor of 3684,6108, we have to find the factors of both numbers and list the highest common factor.

The factors of 3684 are 1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842, 3684

The factors of 6108 are 1, 2, 3, 4, 6, 12, 509, 1018, 1527, 2036, 3054, 6108

The HCF of 3684,6108 is 12.

Lets's calculate GCF of 3684,6108

Greatest Common Factor (GCF) of 3684,6108 By Common Division

2	3684, 6108
2	1842, 3054
3	921, 1527
	307, 509

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 3684,6108 By Matching Biggest Common Factor Method

Now, list down the factors of 3684

1,2,3,4,6,12,307,614,921,1228,1842,3684

Now, list down the factors of 6108

1,2,3,4,6,12,509,1018,1527,2036,3054,6108

Greatest Common Factor

We found the factors 3684,6108 . The biggest common factor number is the GCF number.
So the greatest common factor 3684,6108 is 12.

Lets's calculate LCM of 381,584

Lowest Common Multiple of 381,584 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 222504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/222504

Therefore, the GCF of Fractions 3684/381,6108/584 is 12/222504

Least Common Multiple of 381,584 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 381,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,584) = 1

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

GCF(381,584) x common factors =1 x 1 = 1

LCM(381,584) = ( 381 × 584 ) / 1

LCM(381,584) = 222504 / 1

LCM(381,584) = 222504

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FAQs on GCF of Fractions of 3684/381, 6108/584

1. What is the HCF of 3684,6108?

The HCF of 3684,6108 is 12

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 3684/381, 6108/584?

Answer: GCF of Numerators as per given numbers 3684/381, 6108/584 is

GCF of Numerators i.e. for 3684,6108 is 12

LCM of denominators i.e. for 381,584 is 222504.

Thus, GCF of Fractions is 12/222504.Finally, GCF of Fractions for 3684/381, 6108/584 is 12/222504.