How to Find GCF of 6866/178, 4004/9369?

GCF of 6866/178, 4004/9369

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 6866/178, 4004/9369 i.e 2/1667682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6866/178, 4004/9369.

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 6866/178,4004/9369?

Given fractions are 6866/178,4004/9369

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 6866/178,4004/9369, numerators are 6866,4004

Denominators are 178,9369

The GCF of 6866,4004 is 2 .

LCM of 178,9369 is 1667682.

The greatest common factor of 6866/178,4004/9369 = [GCF of 6866,4004]/[LCM of 178,9369]= 2/1667682

Therefore, the GCF of 6866/178,4004/9369 is 2/1667682.

Greatest Common Factor of 6866,4004

To find the highest common factor of 6866,4004, we have to find the factors of both numbers and list the highest common factor.

The factors of 6866 are 1, 2, 3433, 6866

The factors of 4004 are 1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002, 4004

The HCF of 6866,4004 is 2.

Lets's calculate GCF of 6866,4004

Greatest Common Factor (GCF) of 6866,4004 By Common Division

2	6866, 4004
	3433, 2002

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

Greatest Common Factor of 6866,4004 By Matching Biggest Common Factor Method

Now, list down the factors of 6866

1,2,3433,6866

Now, list down the factors of 4004

1,2,4,7,11,13,14,22,26,28,44,52,77,91,143,154,182,286,308,364,572,1001,2002,4004

Greatest Common Factor

We found the factors 6866,4004 . The biggest common factor number is the GCF number.
So the greatest common factor 6866,4004 is 2.

Lets's calculate LCM of 178,9369

Lowest Common Multiple of 178,9369 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1667682

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1667682

Therefore, the GCF of Fractions 6866/178,4004/9369 is 2/1667682

Least Common Multiple of 178,9369 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 178,9369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,9369) = 1

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

GCF(178,9369) x common factors =1 x 1 = 1

LCM(178,9369) = ( 178 × 9369 ) / 1

LCM(178,9369) = 1667682 / 1

LCM(178,9369) = 1667682

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FAQs on GCF of Fractions of 6866/178, 4004/9369

1. What is the HCF of 6866,4004?

The HCF of 6866,4004 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 6866/178, 4004/9369?

Answer: GCF of Numerators as per given numbers 6866/178, 4004/9369 is

GCF of Numerators i.e. for 6866,4004 is 2

LCM of denominators i.e. for 178,9369 is 1667682.

Thus, GCF of Fractions is 2/1667682.Finally, GCF of Fractions for 6866/178, 4004/9369 is 2/1667682.