How to Find GCF of 66/282, 3916/3230?

GCF of 66/282, 3916/3230

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 66/282, 3916/3230 i.e 22/455430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/282, 3916/3230.

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 66/282,3916/3230?

Given fractions are 66/282,3916/3230

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 66/282,3916/3230, numerators are 66,3916

Denominators are 282,3230

The GCF of 66,3916 is 22 .

LCM of 282,3230 is 455430.

The greatest common factor of 66/282,3916/3230 = [GCF of 66,3916]/[LCM of 282,3230]= 22/455430

Therefore, the GCF of 66/282,3916/3230 is 22/455430.

Greatest Common Factor of 66,3916

To find the highest common factor of 66,3916, we have to find the factors of both numbers and list the highest common factor.

The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66

The factors of 3916 are 1, 2, 4, 11, 22, 44, 89, 178, 356, 979, 1958, 3916

The HCF of 66,3916 is 22.

Lets's calculate GCF of 66,3916

Greatest Common Factor (GCF) of 66,3916 By Common Division

2	66, 3916
11	33, 1958
	3, 178

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 66,3916 By Matching Biggest Common Factor Method

Now, list down the factors of 66

1,2,3,6,11,22,33,66

Now, list down the factors of 3916

1,2,4,11,22,44,89,178,356,979,1958,3916

Greatest Common Factor

We found the factors 66,3916 . The biggest common factor number is the GCF number.
So the greatest common factor 66,3916 is 22.

Lets's calculate LCM of 282,3230

Lowest Common Multiple of 282,3230 using Common Division

2	282, 3230
	141, 1615

∴ So the LCM of the given numbers is 2 x 141 x 1615 = 455430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/455430

Therefore, the GCF of Fractions 66/282,3916/3230 is 22/455430

Least Common Multiple of 282,3230 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 282,3230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,3230) = 2

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

GCF(282,3230) x common factors =2 x 1 = 2

LCM(282,3230) = ( 282 × 3230 ) / 2

LCM(282,3230) = 910860 / 2

LCM(282,3230) = 455430

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FAQs on GCF of Fractions of 66/282, 3916/3230

1. What is the HCF of 66,3916?

The HCF of 66,3916 is 22

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 66/282, 3916/3230?

Answer: GCF of Numerators as per given numbers 66/282, 3916/3230 is

GCF of Numerators i.e. for 66,3916 is 22

LCM of denominators i.e. for 282,3230 is 455430.

Thus, GCF of Fractions is 22/455430.Finally, GCF of Fractions for 66/282, 3916/3230 is 22/455430.