Greatest Common Factor of 7/66, 67/41, 22/188, 366/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/66, 67/41, 22/188, 366/296

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 7/66,67/41,22/188,366/296

Given fractions are 7/66,67/41,22/188,366/296

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7,67,22,366

Greatest Common Factor of Numerators i.e. GCF of 7,67,22,366 is 1 .

LCM of Denominators means LCM of 66,41,188,296 as per the given fractions.

LCM of 66,41,188,296 is 18822936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,67,22,366

GCF of Fractions 7/66,67/41,22/188,366/296 is 1/18822936

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7,67,22,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,67,22,366 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 7,67,22,366 . The biggest common factor number is the GCF number.
So the greatest common factor 7,67,22,366 is 1.

Lets's calculate LCM of 66,41,188,296

2 66, 41, 188, 296
2 33, 41, 94, 148
33, 41, 47, 74

∴ So the LCM of the given numbers is 2 x 2 x 33 x 41 x 47 x 74 = 18822936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18822936

Therefore, the GCF of Fractions 7/66,67/41,22/188,366/296 is 1/18822936

Least Common Multiple of 66,41,188,296 with GCF Formula

Least Common Multiple of 66,41,188,296 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 66,41,188,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,41,188,296) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(66,41,188,296) x common factors =1 x 8 = 8

LCM(66,41,188,296) = ( 66 × 41 × 188 × 296 ) / 8

LCM(66,41,188,296) = 150583488 / 8

LCM(66,41,188,296) = 18822936


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7/66, 67/41, 22/188, 366/296

1. 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.

2. What is the GCF of Fractions for 7/66, 67/41, 22/188, 366/296?

Answer: GCF of Numerators as per given numbers 7/66, 67/41, 22/188, 366/296 is

GCF of Numerators i.e. for 7,67,22,366 is 1

LCM of denominators i.e. for 66,41,188,296 is 18822936.

Thus, GCF of Fractions is 1/18822936.Finally, GCF of Fractions for 7/66, 67/41, 22/188, 366/296 is 1/18822936.