How to Find GCF of 3774/414, 6066/439?

GCF of 3774/414, 6066/439

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 3774/414, 6066/439 i.e 6/181746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3774/414, 6066/439.

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 3774/414,6066/439?

Given fractions are 3774/414,6066/439

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 3774/414,6066/439, numerators are 3774,6066

Denominators are 414,439

The GCF of 3774,6066 is 6 .

LCM of 414,439 is 181746.

The greatest common factor of 3774/414,6066/439 = [GCF of 3774,6066]/[LCM of 414,439]= 6/181746

Therefore, the GCF of 3774/414,6066/439 is 6/181746.

Greatest Common Factor of 3774,6066

To find the highest common factor of 3774,6066, we have to find the factors of both numbers and list the highest common factor.

The factors of 3774 are 1, 2, 3, 6, 17, 34, 37, 51, 74, 102, 111, 222, 629, 1258, 1887, 3774

The factors of 6066 are 1, 2, 3, 6, 9, 18, 337, 674, 1011, 2022, 3033, 6066

The HCF of 3774,6066 is 6.

Lets's calculate GCF of 3774,6066

Greatest Common Factor (GCF) of 3774,6066 By Common Division

2	3774, 6066
3	1887, 3033
	629, 1011

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 3774,6066 By Matching Biggest Common Factor Method

Now, list down the factors of 3774

1,2,3,6,17,34,37,51,74,102,111,222,629,1258,1887,3774

Now, list down the factors of 6066

1,2,3,6,9,18,337,674,1011,2022,3033,6066

Greatest Common Factor

We found the factors 3774,6066 . The biggest common factor number is the GCF number.
So the greatest common factor 3774,6066 is 6.

Lets's calculate LCM of 414,439

Lowest Common Multiple of 414,439 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 181746

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/181746

Therefore, the GCF of Fractions 3774/414,6066/439 is 6/181746

Least Common Multiple of 414,439 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 414,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,439) = 1

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

GCF(414,439) x common factors =1 x 1 = 1

LCM(414,439) = ( 414 × 439 ) / 1

LCM(414,439) = 181746 / 1

LCM(414,439) = 181746

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FAQs on GCF of Fractions of 3774/414, 6066/439

1. What is the HCF of 3774,6066?

The HCF of 3774,6066 is 6

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 3774/414, 6066/439?

Answer: GCF of Numerators as per given numbers 3774/414, 6066/439 is

GCF of Numerators i.e. for 3774,6066 is 6

LCM of denominators i.e. for 414,439 is 181746.

Thus, GCF of Fractions is 6/181746.Finally, GCF of Fractions for 3774/414, 6066/439 is 6/181746.