Greatest Common Factor of 733/86, 400/24, 374/24

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 733/86, 400/24, 374/24

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 733/86,400/24,374/24

Given fractions are 733/86,400/24,374/24

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 733,400,374

Greatest Common Factor of Numerators i.e. GCF of 733,400,374 is 1 .

LCM of Denominators means LCM of 86,24,24 as per the given fractions.

LCM of 86,24,24 is 1032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 733,400,374

GCF of Fractions 733/86,400/24,374/24 is 1/1032

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

Greatest Common Factor of 733,400,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 733,400,374 By Matching Biggest Common Factor Method

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 733,400,374 . The biggest common factor number is the GCF number.
So the greatest common factor 733,400,374 is 1.

Lets's calculate LCM of 86,24,24

2 86, 24, 24
2 43, 12, 12
2 43, 6, 6
3 43, 3, 3
43, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 43 x 1 x 1 = 1032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1032

Therefore, the GCF of Fractions 733/86,400/24,374/24 is 1/1032

Least Common Multiple of 86,24,24 with GCF Formula

Least Common Multiple of 86,24,24 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 86,24,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,24,24) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(86,24,24) x common factors =2 x 24 = 48

LCM(86,24,24) = ( 86 × 24 × 24 ) / 48

LCM(86,24,24) = 49536 / 48

LCM(86,24,24) = 1032


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 733/86, 400/24, 374/24

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 733/86, 400/24, 374/24?

Answer: GCF of Numerators as per given numbers 733/86, 400/24, 374/24 is

GCF of Numerators i.e. for 733,400,374 is 1

LCM of denominators i.e. for 86,24,24 is 1032.

Thus, GCF of Fractions is 1/1032.Finally, GCF of Fractions for 733/86, 400/24, 374/24 is 1/1032.