How to Find GCF of 4133/628, 4994/8006?

GCF of 4133/628, 4994/8006

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 4133/628, 4994/8006 i.e 1/2513884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4133/628, 4994/8006.

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 4133/628,4994/8006?

Given fractions are 4133/628,4994/8006

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 4133/628,4994/8006, numerators are 4133,4994

Denominators are 628,8006

The GCF of 4133,4994 is 1 .

LCM of 628,8006 is 2513884.

The greatest common factor of 4133/628,4994/8006 = [GCF of 4133,4994]/[LCM of 628,8006]= 1/2513884

Therefore, the GCF of 4133/628,4994/8006 is 1/2513884.

Greatest Common Factor of 4133,4994

To find the highest common factor of 4133,4994, we have to find the factors of both numbers and list the highest common factor.

The factors of 4133 are 1, 4133

The factors of 4994 are 1, 2, 11, 22, 227, 454, 2497, 4994

The HCF of 4133,4994 is 1.

Lets's calculate GCF of 4133,4994

Greatest Common Factor (GCF) of 4133,4994 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4133,4994 By Matching Biggest Common Factor Method

Now, list down the factors of 4133

1,4133

Now, list down the factors of 4994

1,2,11,22,227,454,2497,4994

Greatest Common Factor

We found the factors 4133,4994 . The biggest common factor number is the GCF number.
So the greatest common factor 4133,4994 is 1.

Lets's calculate LCM of 628,8006

Lowest Common Multiple of 628,8006 using Common Division

2	628, 8006
	314, 4003

∴ So the LCM of the given numbers is 2 x 314 x 4003 = 2513884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2513884

Therefore, the GCF of Fractions 4133/628,4994/8006 is 1/2513884

Least Common Multiple of 628,8006 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 628,8006 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,8006) = 2

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

GCF(628,8006) x common factors =2 x 1 = 2

LCM(628,8006) = ( 628 × 8006 ) / 2

LCM(628,8006) = 5027768 / 2

LCM(628,8006) = 2513884

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FAQs on GCF of Fractions of 4133/628, 4994/8006

1. What is the HCF of 4133,4994?

The HCF of 4133,4994 is 1

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 4133/628, 4994/8006?

Answer: GCF of Numerators as per given numbers 4133/628, 4994/8006 is

GCF of Numerators i.e. for 4133,4994 is 1

LCM of denominators i.e. for 628,8006 is 2513884.

Thus, GCF of Fractions is 1/2513884.Finally, GCF of Fractions for 4133/628, 4994/8006 is 1/2513884.