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 66/188, 2758/2984

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 66/188, 2758/2984 i.e 2/140248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/188, 2758/2984.

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 66/188,2758/2984?

Given fractions are 66/188,2758/2984

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 66/188,2758/2984, numerators are 66,2758

Denominators are 188,2984

The GCF of 66,2758 is 2 .

LCM of 188,2984 is 140248.

The greatest common factor of 66/188,2758/2984 = [GCF of 66,2758]/[LCM of 188,2984]= 2/140248

Therefore, the GCF of 66/188,2758/2984 is 2/140248.

Greatest Common Factor of 66,2758

To find the highest common factor of 66,2758, 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 2758 are 1, 2, 7, 14, 197, 394, 1379, 2758

The HCF of 66,2758 is 2.

Lets's calculate GCF of 66,2758

Greatest Common Factor (GCF) of 66,2758 By Common Division

2 66, 2758
33, 1379

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

Greatest Common Factor of 66,2758 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,2758 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 2758

:

1,2,7,14,197,394,1379,2758

Greatest Common Factor

We found the factors 66,2758 . The biggest common factor number is the GCF number.
So the greatest common factor 66,2758 is 2.

Lets's calculate LCM of 188,2984

Lowest Common Multiple of 188,2984 using Common Division

2 188, 2984
2 94, 1492
47, 746

∴ So the LCM of the given numbers is 2 x 2 x 47 x 746 = 140248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/140248

Therefore, the GCF of Fractions 66/188,2758/2984 is 2/140248

Least Common Multiple of 188,2984 with GCF Formula

Least Common Multiple of 188,2984 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 188,2984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,2984) = 4

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

GCF(188,2984) x common factors =4 x 1 = 4

LCM(188,2984) = ( 188 × 2984 ) / 4

LCM(188,2984) = 560992 / 4

LCM(188,2984) = 140248


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 66/188, 2758/2984

1. What is the HCF of 66,2758?

The HCF of 66,2758 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 66/188, 2758/2984?

Answer: GCF of Numerators as per given numbers 66/188, 2758/2984 is

GCF of Numerators i.e. for 66,2758 is 2

LCM of denominators i.e. for 188,2984 is 140248.

Thus, GCF of Fractions is 2/140248.Finally, GCF of Fractions for 66/188, 2758/2984 is 2/140248.