Greatest Common Factor of 3200/399, 9935/485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3200/399, 9935/485

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 3200/399,9935/485

Given fractions are 3200/399,9935/485

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 3200,9935

Greatest Common Factor of Numerators i.e. GCF of 3200,9935 is 5 .

LCM of Denominators means LCM of 399,485 as per the given fractions.

LCM of 399,485 is 193515 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3200,9935

GCF of Fractions 3200/399,9935/485 is 5/193515

5 3200, 9935
640, 1987

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3200,9935 By Matching Biggest Common Factor Method

Greatest Common Factor of 3200,9935 By Matching Biggest Common Factor Method

Factors of 3200

List of positive integer factors of 3200 that divides 3200 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,128,160,200,320,400,640,800,1600,3200

Factors of 9935

List of positive integer factors of 9935 that divides 9935 without a remainder.

1,5,1987,9935

Greatest Common Factor

We found the factors 3200,9935 . The biggest common factor number is the GCF number.
So the greatest common factor 3200,9935 is 5.

Lets's calculate LCM of 399,485

Given numbers has no common factors except 1. So, there LCM is their product i.e 193515

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/193515

Therefore, the GCF of Fractions 3200/399,9935/485 is 5/193515

Least Common Multiple of 399,485 with GCF Formula

Least Common Multiple of 399,485 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 399,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,485) = 1

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

GCF(399,485) x common factors =1 x 1 = 1

LCM(399,485) = ( 399 × 485 ) / 1

LCM(399,485) = 193515 / 1

LCM(399,485) = 193515


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 3200/399, 9935/485

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 3200/399, 9935/485?

Answer: GCF of Numerators as per given numbers 3200/399, 9935/485 is

GCF of Numerators i.e. for 3200,9935 is 5

LCM of denominators i.e. for 399,485 is 193515.

Thus, GCF of Fractions is 5/193515.Finally, GCF of Fractions for 3200/399, 9935/485 is 5/193515.