Greatest Common Factor of 395/312, 345/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 395/312, 345/766

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 395/312,345/766

Given fractions are 395/312,345/766

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 395,345

Greatest Common Factor of Numerators i.e. GCF of 395,345 is 5 .

LCM of Denominators means LCM of 312,766 as per the given fractions.

LCM of 312,766 is 119496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 395,345

GCF of Fractions 395/312,345/766 is 5/119496

5 395, 345
79, 69

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

Greatest Common Factor of 395,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 395,345 By Matching Biggest Common Factor Method

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 395,345 . The biggest common factor number is the GCF number.
So the greatest common factor 395,345 is 5.

Lets's calculate LCM of 312,766

2 312, 766
156, 383

∴ So the LCM of the given numbers is 2 x 156 x 383 = 119496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/119496

Therefore, the GCF of Fractions 395/312,345/766 is 5/119496

Least Common Multiple of 312,766 with GCF Formula

Least Common Multiple of 312,766 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 312,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,766) = 2

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

GCF(312,766) x common factors =2 x 1 = 2

LCM(312,766) = ( 312 × 766 ) / 2

LCM(312,766) = 238992 / 2

LCM(312,766) = 119496


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 395/312, 345/766

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 395/312, 345/766?

Answer: GCF of Numerators as per given numbers 395/312, 345/766 is

GCF of Numerators i.e. for 395,345 is 5

LCM of denominators i.e. for 312,766 is 119496.

Thus, GCF of Fractions is 5/119496.Finally, GCF of Fractions for 395/312, 345/766 is 5/119496.