Greatest Common Factor of 44/74, 49/24, 15/15, 54/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/74, 49/24, 15/15, 54/862

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 44/74,49/24,15/15,54/862

Given fractions are 44/74,49/24,15/15,54/862

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 44,49,15,54

Greatest Common Factor of Numerators i.e. GCF of 44,49,15,54 is 1 .

LCM of Denominators means LCM of 74,24,15,862 as per the given fractions.

LCM of 74,24,15,862 is 1913640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,49,15,54

GCF of Fractions 44/74,49/24,15/15,54/862 is 1/1913640

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

Greatest Common Factor of 44,49,15,54 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,49,15,54 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Greatest Common Factor

We found the factors 44,49,15,54 . The biggest common factor number is the GCF number.
So the greatest common factor 44,49,15,54 is 1.

Lets's calculate LCM of 74,24,15,862

2 74, 24, 15, 862
3 37, 12, 15, 431
37, 4, 5, 431

∴ So the LCM of the given numbers is 2 x 3 x 37 x 4 x 5 x 431 = 1913640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1913640

Therefore, the GCF of Fractions 44/74,49/24,15/15,54/862 is 1/1913640

Least Common Multiple of 74,24,15,862 with GCF Formula

Least Common Multiple of 74,24,15,862 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 74,24,15,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,24,15,862) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(74,24,15,862) x common factors =1 x 12 = 12

LCM(74,24,15,862) = ( 74 × 24 × 15 × 862 ) / 12

LCM(74,24,15,862) = 22963680 / 12

LCM(74,24,15,862) = 1913640


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 44/74, 49/24, 15/15, 54/862

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 44/74, 49/24, 15/15, 54/862?

Answer: GCF of Numerators as per given numbers 44/74, 49/24, 15/15, 54/862 is

GCF of Numerators i.e. for 44,49,15,54 is 1

LCM of denominators i.e. for 74,24,15,862 is 1913640.

Thus, GCF of Fractions is 1/1913640.Finally, GCF of Fractions for 44/74, 49/24, 15/15, 54/862 is 1/1913640.