Greatest Common Factor of 856/195, 730/258, 765/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 856/195, 730/258, 765/395

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 856/195,730/258,765/395

Given fractions are 856/195,730/258,765/395

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 856,730,765

Greatest Common Factor of Numerators i.e. GCF of 856,730,765 is 1 .

LCM of Denominators means LCM of 195,258,395 as per the given fractions.

LCM of 195,258,395 is 1324830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 856,730,765

GCF of Fractions 856/195,730/258,765/395 is 1/1324830

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

Greatest Common Factor of 856,730,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,730,765 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 856,730,765 . The biggest common factor number is the GCF number.
So the greatest common factor 856,730,765 is 1.

Lets's calculate LCM of 195,258,395

3 195, 258, 395
5 65, 86, 395
13, 86, 79

∴ So the LCM of the given numbers is 3 x 5 x 13 x 86 x 79 = 1324830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1324830

Therefore, the GCF of Fractions 856/195,730/258,765/395 is 1/1324830

Least Common Multiple of 195,258,395 with GCF Formula

Least Common Multiple of 195,258,395 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 195,258,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,258,395) = 1

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

GCF(195,258,395) x common factors =1 x 15 = 15

LCM(195,258,395) = ( 195 × 258 × 395 ) / 15

LCM(195,258,395) = 19872450 / 15

LCM(195,258,395) = 1324830


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 856/195, 730/258, 765/395

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 856/195, 730/258, 765/395?

Answer: GCF of Numerators as per given numbers 856/195, 730/258, 765/395 is

GCF of Numerators i.e. for 856,730,765 is 1

LCM of denominators i.e. for 195,258,395 is 1324830.

Thus, GCF of Fractions is 1/1324830.Finally, GCF of Fractions for 856/195, 730/258, 765/395 is 1/1324830.