Greatest Common Factor of 4814/347, 9000/7475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4814/347, 9000/7475

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 4814/347,9000/7475

Given fractions are 4814/347,9000/7475

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 4814,9000

Greatest Common Factor of Numerators i.e. GCF of 4814,9000 is 2 .

LCM of Denominators means LCM of 347,7475 as per the given fractions.

LCM of 347,7475 is 2593825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4814,9000

GCF of Fractions 4814/347,9000/7475 is 2/2593825

2 4814, 9000
2407, 4500

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

Greatest Common Factor of 4814,9000 By Matching Biggest Common Factor Method

Greatest Common Factor of 4814,9000 By Matching Biggest Common Factor Method

Factors of 4814

List of positive integer factors of 4814 that divides 4814 without a remainder.

1,2,29,58,83,166,2407,4814

Factors of 9000

List of positive integer factors of 9000 that divides 9000 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,125,150,180,200,225,250,300,360,375,450,500,600,750,900,1000,1125,1500,1800,2250,3000,4500,9000

Greatest Common Factor

We found the factors 4814,9000 . The biggest common factor number is the GCF number.
So the greatest common factor 4814,9000 is 2.

Lets's calculate LCM of 347,7475

Given numbers has no common factors except 1. So, there LCM is their product i.e 2593825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2593825

Therefore, the GCF of Fractions 4814/347,9000/7475 is 2/2593825

Least Common Multiple of 347,7475 with GCF Formula

Least Common Multiple of 347,7475 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 347,7475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(347,7475) = 1

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

GCF(347,7475) x common factors =1 x 1 = 1

LCM(347,7475) = ( 347 × 7475 ) / 1

LCM(347,7475) = 2593825 / 1

LCM(347,7475) = 2593825


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 4814/347, 9000/7475

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 4814/347, 9000/7475?

Answer: GCF of Numerators as per given numbers 4814/347, 9000/7475 is

GCF of Numerators i.e. for 4814,9000 is 2

LCM of denominators i.e. for 347,7475 is 2593825.

Thus, GCF of Fractions is 2/2593825.Finally, GCF of Fractions for 4814/347, 9000/7475 is 2/2593825.