Greatest Common Factor of 55/24, 11/89, 451/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/24, 11/89, 451/465

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 55/24,11/89,451/465

Given fractions are 55/24,11/89,451/465

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 55,11,451

Greatest Common Factor of Numerators i.e. GCF of 55,11,451 is 11 .

LCM of Denominators means LCM of 24,89,465 as per the given fractions.

LCM of 24,89,465 is 331080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,11,451

GCF of Fractions 55/24,11/89,451/465 is 11/331080

11 55, 11, 451
5, 1, 41

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 55,11,451 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,11,451 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Greatest Common Factor

We found the factors 55,11,451 . The biggest common factor number is the GCF number.
So the greatest common factor 55,11,451 is 11.

Lets's calculate LCM of 24,89,465

3 24, 89, 465
8, 89, 155

∴ So the LCM of the given numbers is 3 x 8 x 89 x 155 = 331080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/331080

Therefore, the GCF of Fractions 55/24,11/89,451/465 is 11/331080

Least Common Multiple of 24,89,465 with GCF Formula

Least Common Multiple of 24,89,465 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 24,89,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,89,465) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(24,89,465) x common factors =1 x 3 = 3

LCM(24,89,465) = ( 24 × 89 × 465 ) / 3

LCM(24,89,465) = 993240 / 3

LCM(24,89,465) = 331080


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 55/24, 11/89, 451/465

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 55/24, 11/89, 451/465?

Answer: GCF of Numerators as per given numbers 55/24, 11/89, 451/465 is

GCF of Numerators i.e. for 55,11,451 is 11

LCM of denominators i.e. for 24,89,465 is 331080.

Thus, GCF of Fractions is 11/331080.Finally, GCF of Fractions for 55/24, 11/89, 451/465 is 11/331080.