Greatest Common Factor of 903/43, 276/99, 426/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 903/43, 276/99, 426/786

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 903/43,276/99,426/786

Given fractions are 903/43,276/99,426/786

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 903,276,426

Greatest Common Factor of Numerators i.e. GCF of 903,276,426 is 3 .

LCM of Denominators means LCM of 43,99,786 as per the given fractions.

LCM of 43,99,786 is 1115334 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 903,276,426

GCF of Fractions 903/43,276/99,426/786 is 3/1115334

3 903, 276, 426
301, 92, 142

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 903,276,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 903,276,426 By Matching Biggest Common Factor Method

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 903,276,426 . The biggest common factor number is the GCF number.
So the greatest common factor 903,276,426 is 3.

Lets's calculate LCM of 43,99,786

3 43, 99, 786
43, 33, 262

∴ So the LCM of the given numbers is 3 x 43 x 33 x 262 = 1115334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1115334

Therefore, the GCF of Fractions 903/43,276/99,426/786 is 3/1115334

Least Common Multiple of 43,99,786 with GCF Formula

Least Common Multiple of 43,99,786 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 43,99,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,99,786) = 1

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

GCF(43,99,786) x common factors =1 x 3 = 3

LCM(43,99,786) = ( 43 × 99 × 786 ) / 3

LCM(43,99,786) = 3346002 / 3

LCM(43,99,786) = 1115334


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 903/43, 276/99, 426/786

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 903/43, 276/99, 426/786?

Answer: GCF of Numerators as per given numbers 903/43, 276/99, 426/786 is

GCF of Numerators i.e. for 903,276,426 is 3

LCM of denominators i.e. for 43,99,786 is 1115334.

Thus, GCF of Fractions is 3/1115334.Finally, GCF of Fractions for 903/43, 276/99, 426/786 is 3/1115334.