Greatest Common Factor of 9485/22, 8000/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9485/22, 8000/830

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 9485/22,8000/830

Given fractions are 9485/22,8000/830

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 9485,8000

Greatest Common Factor of Numerators i.e. GCF of 9485,8000 is 5 .

LCM of Denominators means LCM of 22,830 as per the given fractions.

LCM of 22,830 is 9130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9485,8000

GCF of Fractions 9485/22,8000/830 is 5/9130

5 9485, 8000
1897, 1600

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

Greatest Common Factor of 9485,8000 By Matching Biggest Common Factor Method

Greatest Common Factor of 9485,8000 By Matching Biggest Common Factor Method

Factors of 9485

List of positive integer factors of 9485 that divides 9485 without a remainder.

1,5,7,35,271,1355,1897,9485

Factors of 8000

List of positive integer factors of 8000 that divides 8000 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,125,160,200,250,320,400,500,800,1000,1600,2000,4000,8000

Greatest Common Factor

We found the factors 9485,8000 . The biggest common factor number is the GCF number.
So the greatest common factor 9485,8000 is 5.

Lets's calculate LCM of 22,830

2 22, 830
11, 415

∴ So the LCM of the given numbers is 2 x 11 x 415 = 9130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/9130

Therefore, the GCF of Fractions 9485/22,8000/830 is 5/9130

Least Common Multiple of 22,830 with GCF Formula

Least Common Multiple of 22,830 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 22,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,830) = 2

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

GCF(22,830) x common factors =2 x 1 = 2

LCM(22,830) = ( 22 × 830 ) / 2

LCM(22,830) = 18260 / 2

LCM(22,830) = 9130


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 9485/22, 8000/830

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 9485/22, 8000/830?

Answer: GCF of Numerators as per given numbers 9485/22, 8000/830 is

GCF of Numerators i.e. for 9485,8000 is 5

LCM of denominators i.e. for 22,830 is 9130.

Thus, GCF of Fractions is 5/9130.Finally, GCF of Fractions for 9485/22, 8000/830 is 5/9130.