Greatest Common Factor of 306/370, 735/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 306/370, 735/788

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 306/370,735/788

Given fractions are 306/370,735/788

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 306,735

Greatest Common Factor of Numerators i.e. GCF of 306,735 is 3 .

LCM of Denominators means LCM of 370,788 as per the given fractions.

LCM of 370,788 is 145780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 306,735

GCF of Fractions 306/370,735/788 is 3/145780

3 306, 735
102, 245

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

Greatest Common Factor of 306,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,735 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

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 306,735 . The biggest common factor number is the GCF number.
So the greatest common factor 306,735 is 3.

Lets's calculate LCM of 370,788

2 370, 788
185, 394

∴ So the LCM of the given numbers is 2 x 185 x 394 = 145780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/145780

Therefore, the GCF of Fractions 306/370,735/788 is 3/145780

Least Common Multiple of 370,788 with GCF Formula

Least Common Multiple of 370,788 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 370,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,788) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(370,788) x common factors =2 x 1 = 2

LCM(370,788) = ( 370 × 788 ) / 2

LCM(370,788) = 291560 / 2

LCM(370,788) = 145780


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 306/370, 735/788

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 306/370, 735/788?

Answer: GCF of Numerators as per given numbers 306/370, 735/788 is

GCF of Numerators i.e. for 306,735 is 3

LCM of denominators i.e. for 370,788 is 145780.

Thus, GCF of Fractions is 3/145780.Finally, GCF of Fractions for 306/370, 735/788 is 3/145780.