Greatest Common Factor of 3825/990, 5243/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3825/990, 5243/354

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 3825/990,5243/354

Given fractions are 3825/990,5243/354

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 3825,5243

Greatest Common Factor of Numerators i.e. GCF of 3825,5243 is 1 .

LCM of Denominators means LCM of 990,354 as per the given fractions.

LCM of 990,354 is 58410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3825,5243

GCF of Fractions 3825/990,5243/354 is 1/58410

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

Greatest Common Factor of 3825,5243 By Matching Biggest Common Factor Method

Greatest Common Factor of 3825,5243 By Matching Biggest Common Factor Method

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

Factors of 5243

List of positive integer factors of 5243 that divides 5243 without a remainder.

1,7,49,107,749,5243

Greatest Common Factor

We found the factors 3825,5243 . The biggest common factor number is the GCF number.
So the greatest common factor 3825,5243 is 1.

Lets's calculate LCM of 990,354

2 990, 354
3 495, 177
165, 59

∴ So the LCM of the given numbers is 2 x 3 x 165 x 59 = 58410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58410

Therefore, the GCF of Fractions 3825/990,5243/354 is 1/58410

Least Common Multiple of 990,354 with GCF Formula

Least Common Multiple of 990,354 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 990,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,354) = 6

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

GCF(990,354) x common factors =6 x 1 = 6

LCM(990,354) = ( 990 × 354 ) / 6

LCM(990,354) = 350460 / 6

LCM(990,354) = 58410


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 3825/990, 5243/354

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 3825/990, 5243/354?

Answer: GCF of Numerators as per given numbers 3825/990, 5243/354 is

GCF of Numerators i.e. for 3825,5243 is 1

LCM of denominators i.e. for 990,354 is 58410.

Thus, GCF of Fractions is 1/58410.Finally, GCF of Fractions for 3825/990, 5243/354 is 1/58410.