Greatest Common Factor of 9600/938, 4824/3429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9600/938, 4824/3429

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 9600/938,4824/3429

Given fractions are 9600/938,4824/3429

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 9600,4824

Greatest Common Factor of Numerators i.e. GCF of 9600,4824 is 24 .

LCM of Denominators means LCM of 938,3429 as per the given fractions.

LCM of 938,3429 is 3216402 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9600,4824

GCF of Fractions 9600/938,4824/3429 is 24/3216402

2 9600, 4824
2 4800, 2412
2 2400, 1206
3 1200, 603
400, 201

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 9600,4824 By Matching Biggest Common Factor Method

Greatest Common Factor of 9600,4824 By Matching Biggest Common Factor Method

Factors of 9600

List of positive integer factors of 9600 that divides 9600 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,128,150,160,192,200,240,300,320,384,400,480,600,640,800,960,1200,1600,1920,2400,3200,4800,9600

Factors of 4824

List of positive integer factors of 4824 that divides 4824 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,67,72,134,201,268,402,536,603,804,1206,1608,2412,4824

Greatest Common Factor

We found the factors 9600,4824 . The biggest common factor number is the GCF number.
So the greatest common factor 9600,4824 is 24.

Lets's calculate LCM of 938,3429

Given numbers has no common factors except 1. So, there LCM is their product i.e 3216402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/3216402

Therefore, the GCF of Fractions 9600/938,4824/3429 is 24/3216402

Least Common Multiple of 938,3429 with GCF Formula

Least Common Multiple of 938,3429 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 938,3429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,3429) = 1

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

GCF(938,3429) x common factors =1 x 1 = 1

LCM(938,3429) = ( 938 × 3429 ) / 1

LCM(938,3429) = 3216402 / 1

LCM(938,3429) = 3216402


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 9600/938, 4824/3429

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 9600/938, 4824/3429?

Answer: GCF of Numerators as per given numbers 9600/938, 4824/3429 is

GCF of Numerators i.e. for 9600,4824 is 24

LCM of denominators i.e. for 938,3429 is 3216402.

Thus, GCF of Fractions is 24/3216402.Finally, GCF of Fractions for 9600/938, 4824/3429 is 24/3216402.