Greatest Common Factor of 3555/676, 2045/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3555/676, 2045/658

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 3555/676,2045/658

Given fractions are 3555/676,2045/658

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 3555,2045

Greatest Common Factor of Numerators i.e. GCF of 3555,2045 is 5 .

LCM of Denominators means LCM of 676,658 as per the given fractions.

LCM of 676,658 is 222404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3555,2045

GCF of Fractions 3555/676,2045/658 is 5/222404

5 3555, 2045
711, 409

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3555,2045 By Matching Biggest Common Factor Method

Greatest Common Factor of 3555,2045 By Matching Biggest Common Factor Method

Factors of 3555

List of positive integer factors of 3555 that divides 3555 without a remainder.

1,3,5,9,15,45,79,237,395,711,1185,3555

Factors of 2045

List of positive integer factors of 2045 that divides 2045 without a remainder.

1,5,409,2045

Greatest Common Factor

We found the factors 3555,2045 . The biggest common factor number is the GCF number.
So the greatest common factor 3555,2045 is 5.

Lets's calculate LCM of 676,658

2 676, 658
338, 329

∴ So the LCM of the given numbers is 2 x 338 x 329 = 222404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/222404

Therefore, the GCF of Fractions 3555/676,2045/658 is 5/222404

Least Common Multiple of 676,658 with GCF Formula

Least Common Multiple of 676,658 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 676,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,658) = 2

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

GCF(676,658) x common factors =2 x 1 = 2

LCM(676,658) = ( 676 × 658 ) / 2

LCM(676,658) = 444808 / 2

LCM(676,658) = 222404


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 3555/676, 2045/658

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 3555/676, 2045/658?

Answer: GCF of Numerators as per given numbers 3555/676, 2045/658 is

GCF of Numerators i.e. for 3555,2045 is 5

LCM of denominators i.e. for 676,658 is 222404.

Thus, GCF of Fractions is 5/222404.Finally, GCF of Fractions for 3555/676, 2045/658 is 5/222404.