Greatest Common Factor of 8330/603, 2695/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8330/603, 2695/898

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 8330/603,2695/898

Given fractions are 8330/603,2695/898

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 8330,2695

Greatest Common Factor of Numerators i.e. GCF of 8330,2695 is 245 .

LCM of Denominators means LCM of 603,898 as per the given fractions.

LCM of 603,898 is 541494 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8330,2695

GCF of Fractions 8330/603,2695/898 is 245/541494

5 8330, 2695
7 1666, 539
7 238, 77
34, 11

∴ So the GCF of the given numbers is 5 x 7 x 7 = 245

Greatest Common Factor of 8330,2695 By Matching Biggest Common Factor Method

Greatest Common Factor of 8330,2695 By Matching Biggest Common Factor Method

Factors of 8330

List of positive integer factors of 8330 that divides 8330 without a remainder.

1,2,5,7,10,14,17,34,35,49,70,85,98,119,170,238,245,490,595,833,1190,1666,4165,8330

Factors of 2695

List of positive integer factors of 2695 that divides 2695 without a remainder.

1,5,7,11,35,49,55,77,245,385,539,2695

Greatest Common Factor

We found the factors 8330,2695 . The biggest common factor number is the GCF number.
So the greatest common factor 8330,2695 is 245.

Lets's calculate LCM of 603,898

Given numbers has no common factors except 1. So, there LCM is their product i.e 541494

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 245/541494

Therefore, the GCF of Fractions 8330/603,2695/898 is 245/541494

Least Common Multiple of 603,898 with GCF Formula

Least Common Multiple of 603,898 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 603,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(603,898) = 1

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

GCF(603,898) x common factors =1 x 1 = 1

LCM(603,898) = ( 603 × 898 ) / 1

LCM(603,898) = 541494 / 1

LCM(603,898) = 541494


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 8330/603, 2695/898

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 8330/603, 2695/898?

Answer: GCF of Numerators as per given numbers 8330/603, 2695/898 is

GCF of Numerators i.e. for 8330,2695 is 245

LCM of denominators i.e. for 603,898 is 541494.

Thus, GCF of Fractions is 245/541494.Finally, GCF of Fractions for 8330/603, 2695/898 is 245/541494.