Greatest Common Factor of 81/88, 45/55, 51/66, 651/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/88, 45/55, 51/66, 651/82

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 81/88,45/55,51/66,651/82

Given fractions are 81/88,45/55,51/66,651/82

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 81,45,51,651

Greatest Common Factor of Numerators i.e. GCF of 81,45,51,651 is 3 .

LCM of Denominators means LCM of 88,55,66,82 as per the given fractions.

LCM of 88,55,66,82 is 54120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,45,51,651

GCF of Fractions 81/88,45/55,51/66,651/82 is 3/54120

3 81, 45, 51, 651
27, 15, 17, 217

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

Greatest Common Factor of 81,45,51,651 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,45,51,651 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Greatest Common Factor

We found the factors 81,45,51,651 . The biggest common factor number is the GCF number.
So the greatest common factor 81,45,51,651 is 3.

Lets's calculate LCM of 88,55,66,82

2 88, 55, 66, 82
11 44, 55, 33, 41
4, 5, 3, 41

∴ So the LCM of the given numbers is 2 x 11 x 4 x 5 x 3 x 41 = 54120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/54120

Therefore, the GCF of Fractions 81/88,45/55,51/66,651/82 is 3/54120

Least Common Multiple of 88,55,66,82 with GCF Formula

Least Common Multiple of 88,55,66,82 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 88,55,66,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,55,66,82) = 1

common factors(in case of two or more numbers have common factors) = 484

GCF(88,55,66,82) x common factors =1 x 484 = 484

LCM(88,55,66,82) = ( 88 × 55 × 66 × 82 ) / 484

LCM(88,55,66,82) = 26194080 / 484

LCM(88,55,66,82) = 54120


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 81/88, 45/55, 51/66, 651/82

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 81/88, 45/55, 51/66, 651/82?

Answer: GCF of Numerators as per given numbers 81/88, 45/55, 51/66, 651/82 is

GCF of Numerators i.e. for 81,45,51,651 is 3

LCM of denominators i.e. for 88,55,66,82 is 54120.

Thus, GCF of Fractions is 3/54120.Finally, GCF of Fractions for 81/88, 45/55, 51/66, 651/82 is 3/54120.