How to Find GCF of 4014/541, 8074/6997?

GCF of 4014/541, 8074/6997

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 4014/541, 8074/6997 i.e 2/3785377 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4014/541, 8074/6997.

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 4014/541,8074/6997?

Given fractions are 4014/541,8074/6997

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 4014/541,8074/6997, numerators are 4014,8074

Denominators are 541,6997

The GCF of 4014,8074 is 2 .

LCM of 541,6997 is 3785377.

The greatest common factor of 4014/541,8074/6997 = [GCF of 4014,8074]/[LCM of 541,6997]= 2/3785377

Therefore, the GCF of 4014/541,8074/6997 is 2/3785377.

Greatest Common Factor of 4014,8074

To find the highest common factor of 4014,8074, we have to find the factors of both numbers and list the highest common factor.

The factors of 4014 are 1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007, 4014

The factors of 8074 are 1, 2, 11, 22, 367, 734, 4037, 8074

The HCF of 4014,8074 is 2.

Lets's calculate GCF of 4014,8074

Greatest Common Factor (GCF) of 4014,8074 By Common Division

2	4014, 8074
	2007, 4037

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

Greatest Common Factor of 4014,8074 By Matching Biggest Common Factor Method

Now, list down the factors of 4014

1,2,3,6,9,18,223,446,669,1338,2007,4014

Now, list down the factors of 8074

1,2,11,22,367,734,4037,8074

Greatest Common Factor

We found the factors 4014,8074 . The biggest common factor number is the GCF number.
So the greatest common factor 4014,8074 is 2.

Lets's calculate LCM of 541,6997

Lowest Common Multiple of 541,6997 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3785377

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3785377

Therefore, the GCF of Fractions 4014/541,8074/6997 is 2/3785377

Least Common Multiple of 541,6997 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 541,6997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(541,6997) = 1

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

GCF(541,6997) x common factors =1 x 1 = 1

LCM(541,6997) = ( 541 × 6997 ) / 1

LCM(541,6997) = 3785377 / 1

LCM(541,6997) = 3785377

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FAQs on GCF of Fractions of 4014/541, 8074/6997

1. What is the HCF of 4014,8074?

The HCF of 4014,8074 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 4014/541, 8074/6997?

Answer: GCF of Numerators as per given numbers 4014/541, 8074/6997 is

GCF of Numerators i.e. for 4014,8074 is 2

LCM of denominators i.e. for 541,6997 is 3785377.

Thus, GCF of Fractions is 2/3785377.Finally, GCF of Fractions for 4014/541, 8074/6997 is 2/3785377.