Greatest Common Factor of 9985/104, 2558/3698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9985/104, 2558/3698

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 9985/104,2558/3698

Given fractions are 9985/104,2558/3698

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 9985,2558

Greatest Common Factor of Numerators i.e. GCF of 9985,2558 is 1 .

LCM of Denominators means LCM of 104,3698 as per the given fractions.

LCM of 104,3698 is 192296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9985,2558

GCF of Fractions 9985/104,2558/3698 is 1/192296

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

Greatest Common Factor of 9985,2558 By Matching Biggest Common Factor Method

Greatest Common Factor of 9985,2558 By Matching Biggest Common Factor Method

Factors of 9985

List of positive integer factors of 9985 that divides 9985 without a remainder.

1,5,1997,9985

Factors of 2558

List of positive integer factors of 2558 that divides 2558 without a remainder.

1,2,1279,2558

Greatest Common Factor

We found the factors 9985,2558 . The biggest common factor number is the GCF number.
So the greatest common factor 9985,2558 is 1.

Lets's calculate LCM of 104,3698

2 104, 3698
52, 1849

∴ So the LCM of the given numbers is 2 x 52 x 1849 = 192296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192296

Therefore, the GCF of Fractions 9985/104,2558/3698 is 1/192296

Least Common Multiple of 104,3698 with GCF Formula

Least Common Multiple of 104,3698 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 104,3698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(104,3698) = 2

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

GCF(104,3698) x common factors =2 x 1 = 2

LCM(104,3698) = ( 104 × 3698 ) / 2

LCM(104,3698) = 384592 / 2

LCM(104,3698) = 192296


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 9985/104, 2558/3698

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 9985/104, 2558/3698?

Answer: GCF of Numerators as per given numbers 9985/104, 2558/3698 is

GCF of Numerators i.e. for 9985,2558 is 1

LCM of denominators i.e. for 104,3698 is 192296.

Thus, GCF of Fractions is 1/192296.Finally, GCF of Fractions for 9985/104, 2558/3698 is 1/192296.