Greatest Common Factor of 9830/432, 5810/8950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9830/432, 5810/8950

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 9830/432,5810/8950

Given fractions are 9830/432,5810/8950

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 9830,5810

Greatest Common Factor of Numerators i.e. GCF of 9830,5810 is 10 .

LCM of Denominators means LCM of 432,8950 as per the given fractions.

LCM of 432,8950 is 1933200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9830,5810

GCF of Fractions 9830/432,5810/8950 is 10/1933200

2 9830, 5810
5 4915, 2905
983, 581

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 9830,5810 By Matching Biggest Common Factor Method

Greatest Common Factor of 9830,5810 By Matching Biggest Common Factor Method

Factors of 9830

List of positive integer factors of 9830 that divides 9830 without a remainder.

1,2,5,10,983,1966,4915,9830

Factors of 5810

List of positive integer factors of 5810 that divides 5810 without a remainder.

1,2,5,7,10,14,35,70,83,166,415,581,830,1162,2905,5810

Greatest Common Factor

We found the factors 9830,5810 . The biggest common factor number is the GCF number.
So the greatest common factor 9830,5810 is 10.

Lets's calculate LCM of 432,8950

2 432, 8950
216, 4475

∴ So the LCM of the given numbers is 2 x 216 x 4475 = 1933200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1933200

Therefore, the GCF of Fractions 9830/432,5810/8950 is 10/1933200

Least Common Multiple of 432,8950 with GCF Formula

Least Common Multiple of 432,8950 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 432,8950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,8950) = 2

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

GCF(432,8950) x common factors =2 x 1 = 2

LCM(432,8950) = ( 432 × 8950 ) / 2

LCM(432,8950) = 3866400 / 2

LCM(432,8950) = 1933200


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 9830/432, 5810/8950

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 9830/432, 5810/8950?

Answer: GCF of Numerators as per given numbers 9830/432, 5810/8950 is

GCF of Numerators i.e. for 9830,5810 is 10

LCM of denominators i.e. for 432,8950 is 1933200.

Thus, GCF of Fractions is 10/1933200.Finally, GCF of Fractions for 9830/432, 5810/8950 is 10/1933200.