Greatest Common Factor of 1800/486, 7175/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1800/486, 7175/286

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 1800/486,7175/286

Given fractions are 1800/486,7175/286

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 1800,7175

Greatest Common Factor of Numerators i.e. GCF of 1800,7175 is 25 .

LCM of Denominators means LCM of 486,286 as per the given fractions.

LCM of 486,286 is 69498 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1800,7175

GCF of Fractions 1800/486,7175/286 is 25/69498

5 1800, 7175
5 360, 1435
72, 287

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 1800,7175 By Matching Biggest Common Factor Method

Greatest Common Factor of 1800,7175 By Matching Biggest Common Factor Method

Factors of 1800

List of positive integer factors of 1800 that divides 1800 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,150,180,200,225,300,360,450,600,900,1800

Factors of 7175

List of positive integer factors of 7175 that divides 7175 without a remainder.

1,5,7,25,35,41,175,205,287,1025,1435,7175

Greatest Common Factor

We found the factors 1800,7175 . The biggest common factor number is the GCF number.
So the greatest common factor 1800,7175 is 25.

Lets's calculate LCM of 486,286

2 486, 286
243, 143

∴ So the LCM of the given numbers is 2 x 243 x 143 = 69498

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/69498

Therefore, the GCF of Fractions 1800/486,7175/286 is 25/69498

Least Common Multiple of 486,286 with GCF Formula

Least Common Multiple of 486,286 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 486,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,286) = 2

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

GCF(486,286) x common factors =2 x 1 = 2

LCM(486,286) = ( 486 × 286 ) / 2

LCM(486,286) = 138996 / 2

LCM(486,286) = 69498


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 1800/486, 7175/286

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 1800/486, 7175/286?

Answer: GCF of Numerators as per given numbers 1800/486, 7175/286 is

GCF of Numerators i.e. for 1800,7175 is 25

LCM of denominators i.e. for 486,286 is 69498.

Thus, GCF of Fractions is 25/69498.Finally, GCF of Fractions for 1800/486, 7175/286 is 25/69498.