Greatest Common Factor of 9806/499, 3109/9380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9806/499, 3109/9380

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 9806/499,3109/9380

Given fractions are 9806/499,3109/9380

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 9806,3109

Greatest Common Factor of Numerators i.e. GCF of 9806,3109 is 1 .

LCM of Denominators means LCM of 499,9380 as per the given fractions.

LCM of 499,9380 is 4680620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9806,3109

GCF of Fractions 9806/499,3109/9380 is 1/4680620

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

Greatest Common Factor of 9806,3109 By Matching Biggest Common Factor Method

Greatest Common Factor of 9806,3109 By Matching Biggest Common Factor Method

Factors of 9806

List of positive integer factors of 9806 that divides 9806 without a remainder.

1,2,4903,9806

Factors of 3109

List of positive integer factors of 3109 that divides 3109 without a remainder.

1,3109

Greatest Common Factor

We found the factors 9806,3109 . The biggest common factor number is the GCF number.
So the greatest common factor 9806,3109 is 1.

Lets's calculate LCM of 499,9380

Given numbers has no common factors except 1. So, there LCM is their product i.e 4680620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4680620

Therefore, the GCF of Fractions 9806/499,3109/9380 is 1/4680620

Least Common Multiple of 499,9380 with GCF Formula

Least Common Multiple of 499,9380 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 499,9380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,9380) = 1

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

GCF(499,9380) x common factors =1 x 1 = 1

LCM(499,9380) = ( 499 × 9380 ) / 1

LCM(499,9380) = 4680620 / 1

LCM(499,9380) = 4680620


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 9806/499, 3109/9380

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 9806/499, 3109/9380?

Answer: GCF of Numerators as per given numbers 9806/499, 3109/9380 is

GCF of Numerators i.e. for 9806,3109 is 1

LCM of denominators i.e. for 499,9380 is 4680620.

Thus, GCF of Fractions is 1/4680620.Finally, GCF of Fractions for 9806/499, 3109/9380 is 1/4680620.