Greatest Common Factor of 990/509, 4475/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 990/509, 4475/470

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 990/509,4475/470

Given fractions are 990/509,4475/470

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 990,4475

Greatest Common Factor of Numerators i.e. GCF of 990,4475 is 5 .

LCM of Denominators means LCM of 509,470 as per the given fractions.

LCM of 509,470 is 239230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 990,4475

GCF of Fractions 990/509,4475/470 is 5/239230

5 990, 4475
198, 895

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 990,4475 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,4475 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 4475

List of positive integer factors of 4475 that divides 4475 without a remainder.

1,5,25,179,895,4475

Greatest Common Factor

We found the factors 990,4475 . The biggest common factor number is the GCF number.
So the greatest common factor 990,4475 is 5.

Lets's calculate LCM of 509,470

Given numbers has no common factors except 1. So, there LCM is their product i.e 239230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/239230

Therefore, the GCF of Fractions 990/509,4475/470 is 5/239230

Least Common Multiple of 509,470 with GCF Formula

Least Common Multiple of 509,470 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 509,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,470) = 1

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

GCF(509,470) x common factors =1 x 1 = 1

LCM(509,470) = ( 509 × 470 ) / 1

LCM(509,470) = 239230 / 1

LCM(509,470) = 239230


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 990/509, 4475/470

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 990/509, 4475/470?

Answer: GCF of Numerators as per given numbers 990/509, 4475/470 is

GCF of Numerators i.e. for 990,4475 is 5

LCM of denominators i.e. for 509,470 is 239230.

Thus, GCF of Fractions is 5/239230.Finally, GCF of Fractions for 990/509, 4475/470 is 5/239230.