How to Find GCF of 660/760, 3883/8388?

GCF of 660/760, 3883/8388

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 660/760, 3883/8388 i.e 11/1593720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 660/760, 3883/8388.

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 660/760,3883/8388?

Given fractions are 660/760,3883/8388

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 660/760,3883/8388, numerators are 660,3883

Denominators are 760,8388

The GCF of 660,3883 is 11 .

LCM of 760,8388 is 1593720.

The greatest common factor of 660/760,3883/8388 = [GCF of 660,3883]/[LCM of 760,8388]= 11/1593720

Therefore, the GCF of 660/760,3883/8388 is 11/1593720.

Greatest Common Factor of 660,3883

To find the highest common factor of 660,3883, we have to find the factors of both numbers and list the highest common factor.

The factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

The factors of 3883 are 1, 11, 353, 3883

The HCF of 660,3883 is 11.

Lets's calculate GCF of 660,3883

Greatest Common Factor (GCF) of 660,3883 By Common Division

11	660, 3883
	60, 353

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 660,3883 By Matching Biggest Common Factor Method

Now, list down the factors of 660

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Now, list down the factors of 3883

1,11,353,3883

Greatest Common Factor

We found the factors 660,3883 . The biggest common factor number is the GCF number.
So the greatest common factor 660,3883 is 11.

Lets's calculate LCM of 760,8388

Lowest Common Multiple of 760,8388 using Common Division

2	760, 8388
2	380, 4194
	190, 2097

∴ So the LCM of the given numbers is 2 x 2 x 190 x 2097 = 1593720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1593720

Therefore, the GCF of Fractions 660/760,3883/8388 is 11/1593720

Least Common Multiple of 760,8388 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 760,8388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,8388) = 4

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

GCF(760,8388) x common factors =4 x 1 = 4

LCM(760,8388) = ( 760 × 8388 ) / 4

LCM(760,8388) = 6374880 / 4

LCM(760,8388) = 1593720

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 660/760, 3883/8388

1. What is the HCF of 660,3883?

The HCF of 660,3883 is 11

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 660/760, 3883/8388?

Answer: GCF of Numerators as per given numbers 660/760, 3883/8388 is

GCF of Numerators i.e. for 660,3883 is 11

LCM of denominators i.e. for 760,8388 is 1593720.

Thus, GCF of Fractions is 11/1593720.Finally, GCF of Fractions for 660/760, 3883/8388 is 11/1593720.