Greatest Common Factor of 4298/33, 3721/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4298/33, 3721/625

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 4298/33,3721/625

Given fractions are 4298/33,3721/625

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 4298,3721

Greatest Common Factor of Numerators i.e. GCF of 4298,3721 is 1 .

LCM of Denominators means LCM of 33,625 as per the given fractions.

LCM of 33,625 is 20625 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4298,3721

GCF of Fractions 4298/33,3721/625 is 1/20625

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

Greatest Common Factor of 4298,3721 By Matching Biggest Common Factor Method

Greatest Common Factor of 4298,3721 By Matching Biggest Common Factor Method

Factors of 4298

List of positive integer factors of 4298 that divides 4298 without a remainder.

1,2,7,14,307,614,2149,4298

Factors of 3721

List of positive integer factors of 3721 that divides 3721 without a remainder.

1,61,3721

Greatest Common Factor

We found the factors 4298,3721 . The biggest common factor number is the GCF number.
So the greatest common factor 4298,3721 is 1.

Lets's calculate LCM of 33,625

Given numbers has no common factors except 1. So, there LCM is their product i.e 20625

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20625

Therefore, the GCF of Fractions 4298/33,3721/625 is 1/20625

Least Common Multiple of 33,625 with GCF Formula

Least Common Multiple of 33,625 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 33,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,625) = 1

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

GCF(33,625) x common factors =1 x 1 = 1

LCM(33,625) = ( 33 × 625 ) / 1

LCM(33,625) = 20625 / 1

LCM(33,625) = 20625


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 4298/33, 3721/625

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 4298/33, 3721/625?

Answer: GCF of Numerators as per given numbers 4298/33, 3721/625 is

GCF of Numerators i.e. for 4298,3721 is 1

LCM of denominators i.e. for 33,625 is 20625.

Thus, GCF of Fractions is 1/20625.Finally, GCF of Fractions for 4298/33, 3721/625 is 1/20625.