Greatest Common Factor of 448/75, 933/83, 758/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 448/75, 933/83, 758/831

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 448/75,933/83,758/831

Given fractions are 448/75,933/83,758/831

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 448,933,758

Greatest Common Factor of Numerators i.e. GCF of 448,933,758 is 1 .

LCM of Denominators means LCM of 75,83,831 as per the given fractions.

LCM of 75,83,831 is 1724325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 448,933,758

GCF of Fractions 448/75,933/83,758/831 is 1/1724325

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

Greatest Common Factor of 448,933,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,933,758 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 448,933,758 . The biggest common factor number is the GCF number.
So the greatest common factor 448,933,758 is 1.

Lets's calculate LCM of 75,83,831

3 75, 83, 831
25, 83, 277

∴ So the LCM of the given numbers is 3 x 25 x 83 x 277 = 1724325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1724325

Therefore, the GCF of Fractions 448/75,933/83,758/831 is 1/1724325

Least Common Multiple of 75,83,831 with GCF Formula

Least Common Multiple of 75,83,831 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 75,83,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,83,831) = 1

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

GCF(75,83,831) x common factors =1 x 3 = 3

LCM(75,83,831) = ( 75 × 83 × 831 ) / 3

LCM(75,83,831) = 5172975 / 3

LCM(75,83,831) = 1724325


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 448/75, 933/83, 758/831

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 448/75, 933/83, 758/831?

Answer: GCF of Numerators as per given numbers 448/75, 933/83, 758/831 is

GCF of Numerators i.e. for 448,933,758 is 1

LCM of denominators i.e. for 75,83,831 is 1724325.

Thus, GCF of Fractions is 1/1724325.Finally, GCF of Fractions for 448/75, 933/83, 758/831 is 1/1724325.