Greatest Common Factor of 467/16, 933/80, 415/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 467/16, 933/80, 415/319

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 467/16,933/80,415/319

Given fractions are 467/16,933/80,415/319

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 467,933,415

Greatest Common Factor of Numerators i.e. GCF of 467,933,415 is 1 .

LCM of Denominators means LCM of 16,80,319 as per the given fractions.

LCM of 16,80,319 is 25520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 467,933,415

GCF of Fractions 467/16,933/80,415/319 is 1/25520

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

Greatest Common Factor of 467,933,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,933,415 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 467,933,415 . The biggest common factor number is the GCF number.
So the greatest common factor 467,933,415 is 1.

Lets's calculate LCM of 16,80,319

2 16, 80, 319
2 8, 40, 319
2 4, 20, 319
2 2, 10, 319
1, 5, 319

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 5 x 319 = 25520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25520

Therefore, the GCF of Fractions 467/16,933/80,415/319 is 1/25520

Least Common Multiple of 16,80,319 with GCF Formula

Least Common Multiple of 16,80,319 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 16,80,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,80,319) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(16,80,319) x common factors =1 x 16 = 16

LCM(16,80,319) = ( 16 × 80 × 319 ) / 16

LCM(16,80,319) = 408320 / 16

LCM(16,80,319) = 25520


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 467/16, 933/80, 415/319

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 467/16, 933/80, 415/319?

Answer: GCF of Numerators as per given numbers 467/16, 933/80, 415/319 is

GCF of Numerators i.e. for 467,933,415 is 1

LCM of denominators i.e. for 16,80,319 is 25520.

Thus, GCF of Fractions is 1/25520.Finally, GCF of Fractions for 467/16, 933/80, 415/319 is 1/25520.