How to Find GCF of 7166/476, 7014/3652?

GCF of 7166/476, 7014/3652

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 7166/476, 7014/3652 i.e 2/434588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7166/476, 7014/3652.

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 7166/476,7014/3652?

Given fractions are 7166/476,7014/3652

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 7166/476,7014/3652, numerators are 7166,7014

Denominators are 476,3652

The GCF of 7166,7014 is 2 .

LCM of 476,3652 is 434588.

The greatest common factor of 7166/476,7014/3652 = [GCF of 7166,7014]/[LCM of 476,3652]= 2/434588

Therefore, the GCF of 7166/476,7014/3652 is 2/434588.

Greatest Common Factor of 7166,7014

To find the highest common factor of 7166,7014, we have to find the factors of both numbers and list the highest common factor.

The factors of 7166 are 1, 2, 3583, 7166

The factors of 7014 are 1, 2, 3, 6, 7, 14, 21, 42, 167, 334, 501, 1002, 1169, 2338, 3507, 7014

The HCF of 7166,7014 is 2.

Lets's calculate GCF of 7166,7014

Greatest Common Factor (GCF) of 7166,7014 By Common Division

2	7166, 7014
	3583, 3507

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

Greatest Common Factor of 7166,7014 By Matching Biggest Common Factor Method

Now, list down the factors of 7166

1,2,3583,7166

Now, list down the factors of 7014

1,2,3,6,7,14,21,42,167,334,501,1002,1169,2338,3507,7014

Greatest Common Factor

We found the factors 7166,7014 . The biggest common factor number is the GCF number.
So the greatest common factor 7166,7014 is 2.

Lets's calculate LCM of 476,3652

Lowest Common Multiple of 476,3652 using Common Division

2	476, 3652
2	238, 1826
	119, 913

∴ So the LCM of the given numbers is 2 x 2 x 119 x 913 = 434588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/434588

Therefore, the GCF of Fractions 7166/476,7014/3652 is 2/434588

Least Common Multiple of 476,3652 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 476,3652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,3652) = 4

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

GCF(476,3652) x common factors =4 x 1 = 4

LCM(476,3652) = ( 476 × 3652 ) / 4

LCM(476,3652) = 1738352 / 4

LCM(476,3652) = 434588

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FAQs on GCF of Fractions of 7166/476, 7014/3652

1. What is the HCF of 7166,7014?

The HCF of 7166,7014 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 7166/476, 7014/3652?

Answer: GCF of Numerators as per given numbers 7166/476, 7014/3652 is

GCF of Numerators i.e. for 7166,7014 is 2

LCM of denominators i.e. for 476,3652 is 434588.

Thus, GCF of Fractions is 2/434588.Finally, GCF of Fractions for 7166/476, 7014/3652 is 2/434588.