How to Find GCF of 3968/332, 3733/512?

GCF of 3968/332, 3733/512

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 3968/332, 3733/512 i.e 1/42496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3968/332, 3733/512.

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 3968/332,3733/512?

Given fractions are 3968/332,3733/512

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 3968/332,3733/512, numerators are 3968,3733

Denominators are 332,512

The GCF of 3968,3733 is 1 .

LCM of 332,512 is 42496.

The greatest common factor of 3968/332,3733/512 = [GCF of 3968,3733]/[LCM of 332,512]= 1/42496

Therefore, the GCF of 3968/332,3733/512 is 1/42496.

Greatest Common Factor of 3968,3733

To find the highest common factor of 3968,3733, we have to find the factors of both numbers and list the highest common factor.

The factors of 3968 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984, 3968

The factors of 3733 are 1, 3733

The HCF of 3968,3733 is 1.

Lets's calculate GCF of 3968,3733

Greatest Common Factor (GCF) of 3968,3733 By Common Division

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

Greatest Common Factor of 3968,3733 By Matching Biggest Common Factor Method

Now, list down the factors of 3968

1,2,4,8,16,31,32,62,64,124,128,248,496,992,1984,3968

Now, list down the factors of 3733

1,3733

Greatest Common Factor

We found the factors 3968,3733 . The biggest common factor number is the GCF number.
So the greatest common factor 3968,3733 is 1.

Lets's calculate LCM of 332,512

Lowest Common Multiple of 332,512 using Common Division

2	332, 512
2	166, 256
	83, 128

∴ So the LCM of the given numbers is 2 x 2 x 83 x 128 = 42496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42496

Therefore, the GCF of Fractions 3968/332,3733/512 is 1/42496

Least Common Multiple of 332,512 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 332,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(332,512) = 4

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

GCF(332,512) x common factors =4 x 1 = 4

LCM(332,512) = ( 332 × 512 ) / 4

LCM(332,512) = 169984 / 4

LCM(332,512) = 42496

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FAQs on GCF of Fractions of 3968/332, 3733/512

1. What is the HCF of 3968,3733?

The HCF of 3968,3733 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 3968/332, 3733/512?

Answer: GCF of Numerators as per given numbers 3968/332, 3733/512 is

GCF of Numerators i.e. for 3968,3733 is 1

LCM of denominators i.e. for 332,512 is 42496.

Thus, GCF of Fractions is 1/42496.Finally, GCF of Fractions for 3968/332, 3733/512 is 1/42496.