How to Find GCF of 66/744, 1887/6600?

GCF of 66/744, 1887/6600

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 66/744, 1887/6600 i.e 3/204600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/744, 1887/6600.

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 66/744,1887/6600?

Given fractions are 66/744,1887/6600

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 66/744,1887/6600, numerators are 66,1887

Denominators are 744,6600

The GCF of 66,1887 is 3 .

LCM of 744,6600 is 204600.

The greatest common factor of 66/744,1887/6600 = [GCF of 66,1887]/[LCM of 744,6600]= 3/204600

Therefore, the GCF of 66/744,1887/6600 is 3/204600.

Greatest Common Factor of 66,1887

To find the highest common factor of 66,1887, 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 1887 are 1, 3, 17, 37, 51, 111, 629, 1887

The HCF of 66,1887 is 3.

Lets's calculate GCF of 66,1887

Greatest Common Factor (GCF) of 66,1887 By Common Division

3	66, 1887
	22, 629

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 66,1887 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 1887

1,3,17,37,51,111,629,1887

Greatest Common Factor

We found the factors 66,1887 . The biggest common factor number is the GCF number.
So the greatest common factor 66,1887 is 3.

Lets's calculate LCM of 744,6600

Lowest Common Multiple of 744,6600 using Common Division

2	744, 6600
2	372, 3300
2	186, 1650
3	93, 825
	31, 275

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 31 x 275 = 204600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/204600

Therefore, the GCF of Fractions 66/744,1887/6600 is 3/204600

Least Common Multiple of 744,6600 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 744,6600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,6600) = 24

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

GCF(744,6600) x common factors =24 x 1 = 24

LCM(744,6600) = ( 744 × 6600 ) / 24

LCM(744,6600) = 4910400 / 24

LCM(744,6600) = 204600

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FAQs on GCF of Fractions of 66/744, 1887/6600

1. What is the HCF of 66,1887?

The HCF of 66,1887 is 3

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 66/744, 1887/6600?

Answer: GCF of Numerators as per given numbers 66/744, 1887/6600 is

GCF of Numerators i.e. for 66,1887 is 3

LCM of denominators i.e. for 744,6600 is 204600.

Thus, GCF of Fractions is 3/204600.Finally, GCF of Fractions for 66/744, 1887/6600 is 3/204600.