LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 66/76, 736/66, 264/792

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 66/76, 736/66, 264/792 i.e 2/15048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/76, 736/66, 264/792.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 66/76,736/66,264/792?

Given fractions are 66/76,736/66,264/792

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 66/76,736/66,264/792, numerators are 66,736,264

Denominators are 76,66,792

The GCF of 66,736,264 is 2 .

LCM of 76,66,792 is 15048.

The greatest common factor of 66/76,736/66,264/792 = [GCF of 66,736,264]/[LCM of 76,66,792]= 2/15048

Therefore, the GCF of 66/76,736/66,264/792 is 2/15048.

Greatest Common Factor of 66,736,264

To find the highest common factor of 66,736,264, 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 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

The factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

The HCF of 66,736,264 is 2.

Lets's calculate GCF of 66,736,264

Greatest Common Factor (GCF) of 66,736,264 By Common Division

2 66, 736, 264
33, 368, 132

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 66,736,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,736,264 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 736

:

1,2,4,8,16,23,32,46,92,184,368,736

Now, list down the factors of 264

:

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 66,736,264 . The biggest common factor number is the GCF number.
So the greatest common factor 66,736,264 is 2.


Lets's calculate LCM of 76,66,792

Lowest Common Multiple of 76,66,792 using Common Division

2 76, 66, 792
2 38, 33, 396
3 19, 33, 198
11 19, 11, 66
19, 1, 6

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 19 x 1 x 6 = 15048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15048

Therefore, the GCF of Fractions 66/76,736/66,264/792 is 2/15048

Least Common Multiple of 76,66,792 with GCF Formula

Least Common Multiple of 76,66,792 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 76,66,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,66,792) = 2

common factors(in case of two or more numbers have common factors) = 132

GCF(76,66,792) x common factors =2 x 132 = 264

LCM(76,66,792) = ( 76 × 66 × 792 ) / 264

LCM(76,66,792) = 3972672 / 264

LCM(76,66,792) = 15048


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 66/76, 736/66, 264/792

1. What is the HCF of 66,736,264?

The HCF of 66,736,264 is 2

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 66/76, 736/66, 264/792?

Answer: GCF of Numerators as per given numbers 66/76, 736/66, 264/792 is

GCF of Numerators i.e. for 66,736,264 is 2

LCM of denominators i.e. for 76,66,792 is 15048.

Thus, GCF of Fractions is 2/15048.Finally, GCF of Fractions for 66/76, 736/66, 264/792 is 2/15048.