Greatest Common Factor of 4433/49, 3904/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4433/49, 3904/425

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 4433/49,3904/425

Given fractions are 4433/49,3904/425

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 4433,3904

Greatest Common Factor of Numerators i.e. GCF of 4433,3904 is 1 .

LCM of Denominators means LCM of 49,425 as per the given fractions.

LCM of 49,425 is 20825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4433,3904

GCF of Fractions 4433/49,3904/425 is 1/20825

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

Greatest Common Factor of 4433,3904 By Matching Biggest Common Factor Method

Greatest Common Factor of 4433,3904 By Matching Biggest Common Factor Method

Factors of 4433

List of positive integer factors of 4433 that divides 4433 without a remainder.

1,11,13,31,143,341,403,4433

Factors of 3904

List of positive integer factors of 3904 that divides 3904 without a remainder.

1,2,4,8,16,32,61,64,122,244,488,976,1952,3904

Greatest Common Factor

We found the factors 4433,3904 . The biggest common factor number is the GCF number.
So the greatest common factor 4433,3904 is 1.

Lets's calculate LCM of 49,425

Given numbers has no common factors except 1. So, there LCM is their product i.e 20825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20825

Therefore, the GCF of Fractions 4433/49,3904/425 is 1/20825

Least Common Multiple of 49,425 with GCF Formula

Least Common Multiple of 49,425 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 49,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,425) = 1

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

GCF(49,425) x common factors =1 x 1 = 1

LCM(49,425) = ( 49 × 425 ) / 1

LCM(49,425) = 20825 / 1

LCM(49,425) = 20825


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 4433/49, 3904/425

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 4433/49, 3904/425?

Answer: GCF of Numerators as per given numbers 4433/49, 3904/425 is

GCF of Numerators i.e. for 4433,3904 is 1

LCM of denominators i.e. for 49,425 is 20825.

Thus, GCF of Fractions is 1/20825.Finally, GCF of Fractions for 4433/49, 3904/425 is 1/20825.