Greatest Common Factor of 471/30, 317/16, 410/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 471/30, 317/16, 410/315

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 471/30,317/16,410/315

Given fractions are 471/30,317/16,410/315

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 471,317,410

Greatest Common Factor of Numerators i.e. GCF of 471,317,410 is 1 .

LCM of Denominators means LCM of 30,16,315 as per the given fractions.

LCM of 30,16,315 is 5040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 471,317,410

GCF of Fractions 471/30,317/16,410/315 is 1/5040

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

Greatest Common Factor of 471,317,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 471,317,410 By Matching Biggest Common Factor Method

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 471,317,410 . The biggest common factor number is the GCF number.
So the greatest common factor 471,317,410 is 1.

Lets's calculate LCM of 30,16,315

2 30, 16, 315
3 15, 8, 315
5 5, 8, 105
1, 8, 21

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 8 x 21 = 5040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5040

Therefore, the GCF of Fractions 471/30,317/16,410/315 is 1/5040

Least Common Multiple of 30,16,315 with GCF Formula

Least Common Multiple of 30,16,315 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 30,16,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,16,315) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(30,16,315) x common factors =1 x 30 = 30

LCM(30,16,315) = ( 30 × 16 × 315 ) / 30

LCM(30,16,315) = 151200 / 30

LCM(30,16,315) = 5040


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 471/30, 317/16, 410/315

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 471/30, 317/16, 410/315?

Answer: GCF of Numerators as per given numbers 471/30, 317/16, 410/315 is

GCF of Numerators i.e. for 471,317,410 is 1

LCM of denominators i.e. for 30,16,315 is 5040.

Thus, GCF of Fractions is 1/5040.Finally, GCF of Fractions for 471/30, 317/16, 410/315 is 1/5040.