Greatest Common Factor of 413/348, 3750/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 413/348, 3750/906

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 413/348,3750/906

Given fractions are 413/348,3750/906

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 413,3750

Greatest Common Factor of Numerators i.e. GCF of 413,3750 is 1 .

LCM of Denominators means LCM of 348,906 as per the given fractions.

LCM of 348,906 is 52548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 413,3750

GCF of Fractions 413/348,3750/906 is 1/52548

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

Greatest Common Factor of 413,3750 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,3750 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 3750

List of positive integer factors of 3750 that divides 3750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,625,750,1250,1875,3750

Greatest Common Factor

We found the factors 413,3750 . The biggest common factor number is the GCF number.
So the greatest common factor 413,3750 is 1.

Lets's calculate LCM of 348,906

2 348, 906
3 174, 453
58, 151

∴ So the LCM of the given numbers is 2 x 3 x 58 x 151 = 52548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52548

Therefore, the GCF of Fractions 413/348,3750/906 is 1/52548

Least Common Multiple of 348,906 with GCF Formula

Least Common Multiple of 348,906 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 348,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,906) = 6

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

GCF(348,906) x common factors =6 x 1 = 6

LCM(348,906) = ( 348 × 906 ) / 6

LCM(348,906) = 315288 / 6

LCM(348,906) = 52548


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 413/348, 3750/906

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 413/348, 3750/906?

Answer: GCF of Numerators as per given numbers 413/348, 3750/906 is

GCF of Numerators i.e. for 413,3750 is 1

LCM of denominators i.e. for 348,906 is 52548.

Thus, GCF of Fractions is 1/52548.Finally, GCF of Fractions for 413/348, 3750/906 is 1/52548.