Greatest Common Factor of 2199/498, 9052/3569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2199/498, 9052/3569

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 2199/498,9052/3569

Given fractions are 2199/498,9052/3569

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 2199,9052

Greatest Common Factor of Numerators i.e. GCF of 2199,9052 is 1 .

LCM of Denominators means LCM of 498,3569 as per the given fractions.

LCM of 498,3569 is 21414 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2199,9052

GCF of Fractions 2199/498,9052/3569 is 1/21414

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

Greatest Common Factor of 2199,9052 By Matching Biggest Common Factor Method

Greatest Common Factor of 2199,9052 By Matching Biggest Common Factor Method

Factors of 2199

List of positive integer factors of 2199 that divides 2199 without a remainder.

1,3,733,2199

Factors of 9052

List of positive integer factors of 9052 that divides 9052 without a remainder.

1,2,4,31,62,73,124,146,292,2263,4526,9052

Greatest Common Factor

We found the factors 2199,9052 . The biggest common factor number is the GCF number.
So the greatest common factor 2199,9052 is 1.

Lets's calculate LCM of 498,3569

83 498, 3569
6, 43

∴ So the LCM of the given numbers is 83 x 6 x 43 = 21414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21414

Therefore, the GCF of Fractions 2199/498,9052/3569 is 1/21414

Least Common Multiple of 498,3569 with GCF Formula

Least Common Multiple of 498,3569 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 498,3569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,3569) = 83

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

GCF(498,3569) x common factors =83 x 1 = 83

LCM(498,3569) = ( 498 × 3569 ) / 83

LCM(498,3569) = 1777362 / 83

LCM(498,3569) = 21414


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 2199/498, 9052/3569

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 2199/498, 9052/3569?

Answer: GCF of Numerators as per given numbers 2199/498, 9052/3569 is

GCF of Numerators i.e. for 2199,9052 is 1

LCM of denominators i.e. for 498,3569 is 21414.

Thus, GCF of Fractions is 1/21414.Finally, GCF of Fractions for 2199/498, 9052/3569 is 1/21414.