Greatest Common Factor of 3860/585, 3505/5068

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3860/585, 3505/5068

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 3860/585,3505/5068

Given fractions are 3860/585,3505/5068

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 3860,3505

Greatest Common Factor of Numerators i.e. GCF of 3860,3505 is 5 .

LCM of Denominators means LCM of 585,5068 as per the given fractions.

LCM of 585,5068 is 2964780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3860,3505

GCF of Fractions 3860/585,3505/5068 is 5/2964780

5 3860, 3505
772, 701

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

Greatest Common Factor of 3860,3505 By Matching Biggest Common Factor Method

Greatest Common Factor of 3860,3505 By Matching Biggest Common Factor Method

Factors of 3860

List of positive integer factors of 3860 that divides 3860 without a remainder.

1,2,4,5,10,20,193,386,772,965,1930,3860

Factors of 3505

List of positive integer factors of 3505 that divides 3505 without a remainder.

1,5,701,3505

Greatest Common Factor

We found the factors 3860,3505 . The biggest common factor number is the GCF number.
So the greatest common factor 3860,3505 is 5.

Lets's calculate LCM of 585,5068

Given numbers has no common factors except 1. So, there LCM is their product i.e 2964780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2964780

Therefore, the GCF of Fractions 3860/585,3505/5068 is 5/2964780

Least Common Multiple of 585,5068 with GCF Formula

Least Common Multiple of 585,5068 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 585,5068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,5068) = 1

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

GCF(585,5068) x common factors =1 x 1 = 1

LCM(585,5068) = ( 585 × 5068 ) / 1

LCM(585,5068) = 2964780 / 1

LCM(585,5068) = 2964780


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 3860/585, 3505/5068

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 3860/585, 3505/5068?

Answer: GCF of Numerators as per given numbers 3860/585, 3505/5068 is

GCF of Numerators i.e. for 3860,3505 is 5

LCM of denominators i.e. for 585,5068 is 2964780.

Thus, GCF of Fractions is 5/2964780.Finally, GCF of Fractions for 3860/585, 3505/5068 is 5/2964780.