Greatest Common Factor of 66/68, 63/78, 28/29, 61/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/68, 63/78, 28/29, 61/590

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 66/68,63/78,28/29,61/590

Given fractions are 66/68,63/78,28/29,61/590

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 66,63,28,61

Greatest Common Factor of Numerators i.e. GCF of 66,63,28,61 is 1 .

LCM of Denominators means LCM of 68,78,29,590 as per the given fractions.

LCM of 68,78,29,590 is 22687860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,63,28,61

GCF of Fractions 66/68,63/78,28/29,61/590 is 1/22687860

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

Greatest Common Factor of 66,63,28,61 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,63,28,61 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

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

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Greatest Common Factor

We found the factors 66,63,28,61 . The biggest common factor number is the GCF number.
So the greatest common factor 66,63,28,61 is 1.

Lets's calculate LCM of 68,78,29,590

2 68, 78, 29, 590
34, 39, 29, 295

∴ So the LCM of the given numbers is 2 x 34 x 39 x 29 x 295 = 22687860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22687860

Therefore, the GCF of Fractions 66/68,63/78,28/29,61/590 is 1/22687860

Least Common Multiple of 68,78,29,590 with GCF Formula

Least Common Multiple of 68,78,29,590 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 68,78,29,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,78,29,590) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(68,78,29,590) x common factors =1 x 4 = 4

LCM(68,78,29,590) = ( 68 × 78 × 29 × 590 ) / 4

LCM(68,78,29,590) = 90751440 / 4

LCM(68,78,29,590) = 22687860


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 66/68, 63/78, 28/29, 61/590

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 66/68, 63/78, 28/29, 61/590?

Answer: GCF of Numerators as per given numbers 66/68, 63/78, 28/29, 61/590 is

GCF of Numerators i.e. for 66,63,28,61 is 1

LCM of denominators i.e. for 68,78,29,590 is 22687860.

Thus, GCF of Fractions is 1/22687860.Finally, GCF of Fractions for 66/68, 63/78, 28/29, 61/590 is 1/22687860.