Greatest Common Factor of 42/400, 733/833, 945/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/400, 733/833, 945/786

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 42/400,733/833,945/786

Given fractions are 42/400,733/833,945/786

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 42,733,945

Greatest Common Factor of Numerators i.e. GCF of 42,733,945 is 1 .

LCM of Denominators means LCM of 400,833,786 as per the given fractions.

LCM of 400,833,786 is 130947600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,733,945

GCF of Fractions 42/400,733/833,945/786 is 1/130947600

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

Greatest Common Factor of 42,733,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,733,945 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 733

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

1,733

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 42,733,945 . The biggest common factor number is the GCF number.
So the greatest common factor 42,733,945 is 1.

Lets's calculate LCM of 400,833,786

2 400, 833, 786
200, 833, 393

∴ So the LCM of the given numbers is 2 x 200 x 833 x 393 = 130947600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130947600

Therefore, the GCF of Fractions 42/400,733/833,945/786 is 1/130947600

Least Common Multiple of 400,833,786 with GCF Formula

Least Common Multiple of 400,833,786 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 400,833,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,833,786) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(400,833,786) x common factors =1 x 2 = 2

LCM(400,833,786) = ( 400 × 833 × 786 ) / 2

LCM(400,833,786) = 261895200 / 2

LCM(400,833,786) = 130947600


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 42/400, 733/833, 945/786

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 42/400, 733/833, 945/786?

Answer: GCF of Numerators as per given numbers 42/400, 733/833, 945/786 is

GCF of Numerators i.e. for 42,733,945 is 1

LCM of denominators i.e. for 400,833,786 is 130947600.

Thus, GCF of Fractions is 1/130947600.Finally, GCF of Fractions for 42/400, 733/833, 945/786 is 1/130947600.