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GCF of 6000/836, 9446/865

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 6000/836, 9446/865 i.e 2/723140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6000/836, 9446/865.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 6000/836,9446/865?

Given fractions are 6000/836,9446/865

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 6000/836,9446/865, numerators are 6000,9446

Denominators are 836,865

The GCF of 6000,9446 is 2 .

LCM of 836,865 is 723140.

The greatest common factor of 6000/836,9446/865 = [GCF of 6000,9446]/[LCM of 836,865]= 2/723140

Therefore, the GCF of 6000/836,9446/865 is 2/723140.

Greatest Common Factor of 6000,9446

To find the highest common factor of 6000,9446, we have to find the factors of both numbers and list the highest common factor.

The factors of 6000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 750, 1000, 1200, 1500, 2000, 3000, 6000

The factors of 9446 are 1, 2, 4723, 9446

The HCF of 6000,9446 is 2.

Lets's calculate GCF of 6000,9446

Greatest Common Factor (GCF) of 6000,9446 By Common Division

2 6000, 9446
3000, 4723

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6000,9446 By Matching Biggest Common Factor Method

Greatest Common Factor of 6000,9446 By Matching Biggest Common Factor Method

Now, list down the factors of 6000

:

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,125,150,200,240,250,300,375,400,500,600,750,1000,1200,1500,2000,3000,6000

Now, list down the factors of 9446

:

1,2,4723,9446

Greatest Common Factor

We found the factors 6000,9446 . The biggest common factor number is the GCF number.
So the greatest common factor 6000,9446 is 2.


Lets's calculate LCM of 836,865

Lowest Common Multiple of 836,865 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 723140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/723140

Therefore, the GCF of Fractions 6000/836,9446/865 is 2/723140

Least Common Multiple of 836,865 with GCF Formula

Least Common Multiple of 836,865 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 836,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,865) = 1

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

GCF(836,865) x common factors =1 x 1 = 1

LCM(836,865) = ( 836 × 865 ) / 1

LCM(836,865) = 723140 / 1

LCM(836,865) = 723140


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 6000/836, 9446/865

1. What is the HCF of 6000,9446?

The HCF of 6000,9446 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 6000/836, 9446/865?

Answer: GCF of Numerators as per given numbers 6000/836, 9446/865 is

GCF of Numerators i.e. for 6000,9446 is 2

LCM of denominators i.e. for 836,865 is 723140.

Thus, GCF of Fractions is 2/723140.Finally, GCF of Fractions for 6000/836, 9446/865 is 2/723140.