Greatest Common Factor of 3415/39, 3875/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3415/39, 3875/549

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 3415/39,3875/549

Given fractions are 3415/39,3875/549

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 3415,3875

Greatest Common Factor of Numerators i.e. GCF of 3415,3875 is 5 .

LCM of Denominators means LCM of 39,549 as per the given fractions.

LCM of 39,549 is 7137 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3415,3875

GCF of Fractions 3415/39,3875/549 is 5/7137

5 3415, 3875
683, 775

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

Greatest Common Factor of 3415,3875 By Matching Biggest Common Factor Method

Greatest Common Factor of 3415,3875 By Matching Biggest Common Factor Method

Factors of 3415

List of positive integer factors of 3415 that divides 3415 without a remainder.

1,5,683,3415

Factors of 3875

List of positive integer factors of 3875 that divides 3875 without a remainder.

1,5,25,31,125,155,775,3875

Greatest Common Factor

We found the factors 3415,3875 . The biggest common factor number is the GCF number.
So the greatest common factor 3415,3875 is 5.

Lets's calculate LCM of 39,549

3 39, 549
13, 183

∴ So the LCM of the given numbers is 3 x 13 x 183 = 7137

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/7137

Therefore, the GCF of Fractions 3415/39,3875/549 is 5/7137

Least Common Multiple of 39,549 with GCF Formula

Least Common Multiple of 39,549 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 39,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,549) = 3

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

GCF(39,549) x common factors =3 x 1 = 3

LCM(39,549) = ( 39 × 549 ) / 3

LCM(39,549) = 21411 / 3

LCM(39,549) = 7137


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 3415/39, 3875/549

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 3415/39, 3875/549?

Answer: GCF of Numerators as per given numbers 3415/39, 3875/549 is

GCF of Numerators i.e. for 3415,3875 is 5

LCM of denominators i.e. for 39,549 is 7137.

Thus, GCF of Fractions is 5/7137.Finally, GCF of Fractions for 3415/39, 3875/549 is 5/7137.