Greatest Common Factor of 4200/98, 1344/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4200/98, 1344/944

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 4200/98,1344/944

Given fractions are 4200/98,1344/944

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 4200,1344

Greatest Common Factor of Numerators i.e. GCF of 4200,1344 is 168 .

LCM of Denominators means LCM of 98,944 as per the given fractions.

LCM of 98,944 is 46256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4200,1344

GCF of Fractions 4200/98,1344/944 is 168/46256

2 4200, 1344
2 2100, 672
2 1050, 336
3 525, 168
7 175, 56
25, 8

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 7 = 168

Greatest Common Factor of 4200,1344 By Matching Biggest Common Factor Method

Greatest Common Factor of 4200,1344 By Matching Biggest Common Factor Method

Factors of 4200

List of positive integer factors of 4200 that divides 4200 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,25,28,30,35,40,42,50,56,60,70,75,84,100,105,120,140,150,168,175,200,210,280,300,350,420,525,600,700,840,1050,1400,2100,4200

Factors of 1344

List of positive integer factors of 1344 that divides 1344 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,168,192,224,336,448,672,1344

Greatest Common Factor

We found the factors 4200,1344 . The biggest common factor number is the GCF number.
So the greatest common factor 4200,1344 is 168.

Lets's calculate LCM of 98,944

2 98, 944
49, 472

∴ So the LCM of the given numbers is 2 x 49 x 472 = 46256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 168/46256

Therefore, the GCF of Fractions 4200/98,1344/944 is 168/46256

Least Common Multiple of 98,944 with GCF Formula

Least Common Multiple of 98,944 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 98,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,944) = 2

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

GCF(98,944) x common factors =2 x 1 = 2

LCM(98,944) = ( 98 × 944 ) / 2

LCM(98,944) = 92512 / 2

LCM(98,944) = 46256


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 4200/98, 1344/944

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 4200/98, 1344/944?

Answer: GCF of Numerators as per given numbers 4200/98, 1344/944 is

GCF of Numerators i.e. for 4200,1344 is 168

LCM of denominators i.e. for 98,944 is 46256.

Thus, GCF of Fractions is 168/46256.Finally, GCF of Fractions for 4200/98, 1344/944 is 168/46256.