Greatest Common Factor of 3000/47, 4304/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3000/47, 4304/892

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 3000/47,4304/892

Given fractions are 3000/47,4304/892

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 3000,4304

Greatest Common Factor of Numerators i.e. GCF of 3000,4304 is 8 .

LCM of Denominators means LCM of 47,892 as per the given fractions.

LCM of 47,892 is 41924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3000,4304

GCF of Fractions 3000/47,4304/892 is 8/41924

2 3000, 4304
2 1500, 2152
2 750, 1076
375, 538

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 3000,4304 By Matching Biggest Common Factor Method

Greatest Common Factor of 3000,4304 By Matching Biggest Common Factor Method

Factors of 3000

List of positive integer factors of 3000 that divides 3000 without a remainder.

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

Factors of 4304

List of positive integer factors of 4304 that divides 4304 without a remainder.

1,2,4,8,16,269,538,1076,2152,4304

Greatest Common Factor

We found the factors 3000,4304 . The biggest common factor number is the GCF number.
So the greatest common factor 3000,4304 is 8.

Lets's calculate LCM of 47,892

Given numbers has no common factors except 1. So, there LCM is their product i.e 41924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/41924

Therefore, the GCF of Fractions 3000/47,4304/892 is 8/41924

Least Common Multiple of 47,892 with GCF Formula

Least Common Multiple of 47,892 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 47,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,892) = 1

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

GCF(47,892) x common factors =1 x 1 = 1

LCM(47,892) = ( 47 × 892 ) / 1

LCM(47,892) = 41924 / 1

LCM(47,892) = 41924


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 3000/47, 4304/892

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 3000/47, 4304/892?

Answer: GCF of Numerators as per given numbers 3000/47, 4304/892 is

GCF of Numerators i.e. for 3000,4304 is 8

LCM of denominators i.e. for 47,892 is 41924.

Thus, GCF of Fractions is 8/41924.Finally, GCF of Fractions for 3000/47, 4304/892 is 8/41924.