How to Find GCF of 4733/960, 8044/608?

GCF of 4733/960, 8044/608

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 4733/960, 8044/608 i.e 1/18240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4733/960, 8044/608.

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 4733/960,8044/608?

Given fractions are 4733/960,8044/608

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 4733/960,8044/608, numerators are 4733,8044

Denominators are 960,608

The GCF of 4733,8044 is 1 .

LCM of 960,608 is 18240.

The greatest common factor of 4733/960,8044/608 = [GCF of 4733,8044]/[LCM of 960,608]= 1/18240

Therefore, the GCF of 4733/960,8044/608 is 1/18240.

Greatest Common Factor of 4733,8044

To find the highest common factor of 4733,8044, we have to find the factors of both numbers and list the highest common factor.

The factors of 4733 are 1, 4733

The factors of 8044 are 1, 2, 4, 2011, 4022, 8044

The HCF of 4733,8044 is 1.

Lets's calculate GCF of 4733,8044

Greatest Common Factor (GCF) of 4733,8044 By Common Division

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

Greatest Common Factor of 4733,8044 By Matching Biggest Common Factor Method

Now, list down the factors of 4733

1,4733

Now, list down the factors of 8044

1,2,4,2011,4022,8044

Greatest Common Factor

We found the factors 4733,8044 . The biggest common factor number is the GCF number.
So the greatest common factor 4733,8044 is 1.

Lets's calculate LCM of 960,608

Lowest Common Multiple of 960,608 using Common Division

2	960, 608
2	480, 304
2	240, 152
2	120, 76
2	60, 38
	30, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 30 x 19 = 18240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18240

Therefore, the GCF of Fractions 4733/960,8044/608 is 1/18240

Least Common Multiple of 960,608 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 960,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,608) = 32

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

GCF(960,608) x common factors =32 x 1 = 32

LCM(960,608) = ( 960 × 608 ) / 32

LCM(960,608) = 583680 / 32

LCM(960,608) = 18240

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FAQs on GCF of Fractions of 4733/960, 8044/608

1. What is the HCF of 4733,8044?

The HCF of 4733,8044 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 4733/960, 8044/608?

Answer: GCF of Numerators as per given numbers 4733/960, 8044/608 is

GCF of Numerators i.e. for 4733,8044 is 1

LCM of denominators i.e. for 960,608 is 18240.

Thus, GCF of Fractions is 1/18240.Finally, GCF of Fractions for 4733/960, 8044/608 is 1/18240.