Greatest Common Factor of 319/83, 364/76, 315/89

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 319/83, 364/76, 315/89

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 319/83,364/76,315/89

Given fractions are 319/83,364/76,315/89

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 319,364,315

Greatest Common Factor of Numerators i.e. GCF of 319,364,315 is 1 .

LCM of Denominators means LCM of 83,76,89 as per the given fractions.

LCM of 83,76,89 is 561412 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 319,364,315

GCF of Fractions 319/83,364/76,315/89 is 1/561412

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

Greatest Common Factor of 319,364,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 319,364,315 By Matching Biggest Common Factor Method

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 319,364,315 . The biggest common factor number is the GCF number.
So the greatest common factor 319,364,315 is 1.

Lets's calculate LCM of 83,76,89

Given numbers has no common factors except 1. So, there LCM is their product i.e 561412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/561412

Therefore, the GCF of Fractions 319/83,364/76,315/89 is 1/561412

Least Common Multiple of 83,76,89 with GCF Formula

Least Common Multiple of 83,76,89 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 83,76,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,76,89) = 1

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

GCF(83,76,89) x common factors =1 x 1 = 1

LCM(83,76,89) = ( 83 × 76 × 89 ) / 1

LCM(83,76,89) = 561412 / 1

LCM(83,76,89) = 561412


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 319/83, 364/76, 315/89

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 319/83, 364/76, 315/89?

Answer: GCF of Numerators as per given numbers 319/83, 364/76, 315/89 is

GCF of Numerators i.e. for 319,364,315 is 1

LCM of denominators i.e. for 83,76,89 is 561412.

Thus, GCF of Fractions is 1/561412.Finally, GCF of Fractions for 319/83, 364/76, 315/89 is 1/561412.