Greatest Common Factor of 524/33, 354/14, 141/24

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 524/33, 354/14, 141/24

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 524/33,354/14,141/24

Given fractions are 524/33,354/14,141/24

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 524,354,141

Greatest Common Factor of Numerators i.e. GCF of 524,354,141 is 1 .

LCM of Denominators means LCM of 33,14,24 as per the given fractions.

LCM of 33,14,24 is 1848 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 524,354,141

GCF of Fractions 524/33,354/14,141/24 is 1/1848

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

Greatest Common Factor of 524,354,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,354,141 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 524,354,141 . The biggest common factor number is the GCF number.
So the greatest common factor 524,354,141 is 1.

Lets's calculate LCM of 33,14,24

2 33, 14, 24
3 33, 7, 12
11, 7, 4

∴ So the LCM of the given numbers is 2 x 3 x 11 x 7 x 4 = 1848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1848

Therefore, the GCF of Fractions 524/33,354/14,141/24 is 1/1848

Least Common Multiple of 33,14,24 with GCF Formula

Least Common Multiple of 33,14,24 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 33,14,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,14,24) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(33,14,24) x common factors =1 x 6 = 6

LCM(33,14,24) = ( 33 × 14 × 24 ) / 6

LCM(33,14,24) = 11088 / 6

LCM(33,14,24) = 1848


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 524/33, 354/14, 141/24

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 524/33, 354/14, 141/24?

Answer: GCF of Numerators as per given numbers 524/33, 354/14, 141/24 is

GCF of Numerators i.e. for 524,354,141 is 1

LCM of denominators i.e. for 33,14,24 is 1848.

Thus, GCF of Fractions is 1/1848.Finally, GCF of Fractions for 524/33, 354/14, 141/24 is 1/1848.