Greatest Common Factor of 17/800, 710/205, 900/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/800, 710/205, 900/410

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 17/800,710/205,900/410

Given fractions are 17/800,710/205,900/410

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 17,710,900

Greatest Common Factor of Numerators i.e. GCF of 17,710,900 is 1 .

LCM of Denominators means LCM of 800,205,410 as per the given fractions.

LCM of 800,205,410 is 32800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,710,900

GCF of Fractions 17/800,710/205,900/410 is 1/32800

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

Greatest Common Factor of 17,710,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,710,900 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 17,710,900 . The biggest common factor number is the GCF number.
So the greatest common factor 17,710,900 is 1.

Lets's calculate LCM of 800,205,410

2 800, 205, 410
5 400, 205, 205
41 80, 41, 41
80, 1, 1

∴ So the LCM of the given numbers is 2 x 5 x 41 x 80 x 1 x 1 = 32800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32800

Therefore, the GCF of Fractions 17/800,710/205,900/410 is 1/32800

Least Common Multiple of 800,205,410 with GCF Formula

Least Common Multiple of 800,205,410 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 800,205,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,205,410) = 5

common factors(in case of two or more numbers have common factors) = 410

GCF(800,205,410) x common factors =5 x 410 = 2050

LCM(800,205,410) = ( 800 × 205 × 410 ) / 2050

LCM(800,205,410) = 67240000 / 2050

LCM(800,205,410) = 32800


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 17/800, 710/205, 900/410

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 17/800, 710/205, 900/410?

Answer: GCF of Numerators as per given numbers 17/800, 710/205, 900/410 is

GCF of Numerators i.e. for 17,710,900 is 1

LCM of denominators i.e. for 800,205,410 is 32800.

Thus, GCF of Fractions is 1/32800.Finally, GCF of Fractions for 17/800, 710/205, 900/410 is 1/32800.