Greatest Common Factor of 42/350, 383/255, 735/933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/350, 383/255, 735/933

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 42/350,383/255,735/933

Given fractions are 42/350,383/255,735/933

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 42,383,735

Greatest Common Factor of Numerators i.e. GCF of 42,383,735 is 1 .

LCM of Denominators means LCM of 350,255,933 as per the given fractions.

LCM of 350,255,933 is 5551350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,383,735

GCF of Fractions 42/350,383/255,735/933 is 1/5551350

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

Greatest Common Factor of 42,383,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,383,735 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 42,383,735 . The biggest common factor number is the GCF number.
So the greatest common factor 42,383,735 is 1.

Lets's calculate LCM of 350,255,933

3 350, 255, 933
5 350, 85, 311
70, 17, 311

∴ So the LCM of the given numbers is 3 x 5 x 70 x 17 x 311 = 5551350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5551350

Therefore, the GCF of Fractions 42/350,383/255,735/933 is 1/5551350

Least Common Multiple of 350,255,933 with GCF Formula

Least Common Multiple of 350,255,933 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 350,255,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(350,255,933) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(350,255,933) x common factors =1 x 15 = 15

LCM(350,255,933) = ( 350 × 255 × 933 ) / 15

LCM(350,255,933) = 83270250 / 15

LCM(350,255,933) = 5551350


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 42/350, 383/255, 735/933

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 42/350, 383/255, 735/933?

Answer: GCF of Numerators as per given numbers 42/350, 383/255, 735/933 is

GCF of Numerators i.e. for 42,383,735 is 1

LCM of denominators i.e. for 350,255,933 is 5551350.

Thus, GCF of Fractions is 1/5551350.Finally, GCF of Fractions for 42/350, 383/255, 735/933 is 1/5551350.