Greatest Common Factor of 9890/149, 3565/5382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9890/149, 3565/5382

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 9890/149,3565/5382

Given fractions are 9890/149,3565/5382

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 9890,3565

Greatest Common Factor of Numerators i.e. GCF of 9890,3565 is 115 .

LCM of Denominators means LCM of 149,5382 as per the given fractions.

LCM of 149,5382 is 801918 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9890,3565

GCF of Fractions 9890/149,3565/5382 is 115/801918

5 9890, 3565
23 1978, 713
86, 31

∴ So the GCF of the given numbers is 5 x 23 = 115

Greatest Common Factor of 9890,3565 By Matching Biggest Common Factor Method

Greatest Common Factor of 9890,3565 By Matching Biggest Common Factor Method

Factors of 9890

List of positive integer factors of 9890 that divides 9890 without a remainder.

1,2,5,10,23,43,46,86,115,215,230,430,989,1978,4945,9890

Factors of 3565

List of positive integer factors of 3565 that divides 3565 without a remainder.

1,5,23,31,115,155,713,3565

Greatest Common Factor

We found the factors 9890,3565 . The biggest common factor number is the GCF number.
So the greatest common factor 9890,3565 is 115.

Lets's calculate LCM of 149,5382

Given numbers has no common factors except 1. So, there LCM is their product i.e 801918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 115/801918

Therefore, the GCF of Fractions 9890/149,3565/5382 is 115/801918

Least Common Multiple of 149,5382 with GCF Formula

Least Common Multiple of 149,5382 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 149,5382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,5382) = 1

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

GCF(149,5382) x common factors =1 x 1 = 1

LCM(149,5382) = ( 149 × 5382 ) / 1

LCM(149,5382) = 801918 / 1

LCM(149,5382) = 801918


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 9890/149, 3565/5382

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 9890/149, 3565/5382?

Answer: GCF of Numerators as per given numbers 9890/149, 3565/5382 is

GCF of Numerators i.e. for 9890,3565 is 115

LCM of denominators i.e. for 149,5382 is 801918.

Thus, GCF of Fractions is 115/801918.Finally, GCF of Fractions for 9890/149, 3565/5382 is 115/801918.