Greatest Common Factor of 790/306, 7105/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 790/306, 7105/398

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 790/306,7105/398

Given fractions are 790/306,7105/398

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 790,7105

Greatest Common Factor of Numerators i.e. GCF of 790,7105 is 5 .

LCM of Denominators means LCM of 306,398 as per the given fractions.

LCM of 306,398 is 60894 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 790,7105

GCF of Fractions 790/306,7105/398 is 5/60894

5 790, 7105
158, 1421

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 790,7105 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,7105 By Matching Biggest Common Factor Method

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 7105

List of positive integer factors of 7105 that divides 7105 without a remainder.

1,5,7,29,35,49,145,203,245,1015,1421,7105

Greatest Common Factor

We found the factors 790,7105 . The biggest common factor number is the GCF number.
So the greatest common factor 790,7105 is 5.

Lets's calculate LCM of 306,398

2 306, 398
153, 199

∴ So the LCM of the given numbers is 2 x 153 x 199 = 60894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/60894

Therefore, the GCF of Fractions 790/306,7105/398 is 5/60894

Least Common Multiple of 306,398 with GCF Formula

Least Common Multiple of 306,398 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 306,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,398) = 2

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

GCF(306,398) x common factors =2 x 1 = 2

LCM(306,398) = ( 306 × 398 ) / 2

LCM(306,398) = 121788 / 2

LCM(306,398) = 60894


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 790/306, 7105/398

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 790/306, 7105/398?

Answer: GCF of Numerators as per given numbers 790/306, 7105/398 is

GCF of Numerators i.e. for 790,7105 is 5

LCM of denominators i.e. for 306,398 is 60894.

Thus, GCF of Fractions is 5/60894.Finally, GCF of Fractions for 790/306, 7105/398 is 5/60894.