Greatest Common Factor of 208/105, 3825/8292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 208/105, 3825/8292

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 208/105,3825/8292

Given fractions are 208/105,3825/8292

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 208,3825

Greatest Common Factor of Numerators i.e. GCF of 208,3825 is 1 .

LCM of Denominators means LCM of 105,8292 as per the given fractions.

LCM of 105,8292 is 290220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 208,3825

GCF of Fractions 208/105,3825/8292 is 1/290220

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 208,3825 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,3825 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 3825

List of positive integer factors of 3825 that divides 3825 without a remainder.

1,3,5,9,15,17,25,45,51,75,85,153,225,255,425,765,1275,3825

Greatest Common Factor

We found the factors 208,3825 . The biggest common factor number is the GCF number.
So the greatest common factor 208,3825 is 1.

Lets's calculate LCM of 105,8292

3 105, 8292
35, 2764

∴ So the LCM of the given numbers is 3 x 35 x 2764 = 290220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/290220

Therefore, the GCF of Fractions 208/105,3825/8292 is 1/290220

Least Common Multiple of 105,8292 with GCF Formula

Least Common Multiple of 105,8292 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 105,8292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,8292) = 3

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

GCF(105,8292) x common factors =3 x 1 = 3

LCM(105,8292) = ( 105 × 8292 ) / 3

LCM(105,8292) = 870660 / 3

LCM(105,8292) = 290220


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 208/105, 3825/8292

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 208/105, 3825/8292?

Answer: GCF of Numerators as per given numbers 208/105, 3825/8292 is

GCF of Numerators i.e. for 208,3825 is 1

LCM of denominators i.e. for 105,8292 is 290220.

Thus, GCF of Fractions is 1/290220.Finally, GCF of Fractions for 208/105, 3825/8292 is 1/290220.