Greatest Common Factor of 1520/467, 3838/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1520/467, 3838/190

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 1520/467,3838/190

Given fractions are 1520/467,3838/190

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 1520,3838

Greatest Common Factor of Numerators i.e. GCF of 1520,3838 is 38 .

LCM of Denominators means LCM of 467,190 as per the given fractions.

LCM of 467,190 is 88730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1520,3838

GCF of Fractions 1520/467,3838/190 is 38/88730

2 1520, 3838
19 760, 1919
40, 101

∴ So the GCF of the given numbers is 2 x 19 = 38

Greatest Common Factor of 1520,3838 By Matching Biggest Common Factor Method

Greatest Common Factor of 1520,3838 By Matching Biggest Common Factor Method

Factors of 1520

List of positive integer factors of 1520 that divides 1520 without a remainder.

1,2,4,5,8,10,16,19,20,38,40,76,80,95,152,190,304,380,760,1520

Factors of 3838

List of positive integer factors of 3838 that divides 3838 without a remainder.

1,2,19,38,101,202,1919,3838

Greatest Common Factor

We found the factors 1520,3838 . The biggest common factor number is the GCF number.
So the greatest common factor 1520,3838 is 38.

Lets's calculate LCM of 467,190

Given numbers has no common factors except 1. So, there LCM is their product i.e 88730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/88730

Therefore, the GCF of Fractions 1520/467,3838/190 is 38/88730

Least Common Multiple of 467,190 with GCF Formula

Least Common Multiple of 467,190 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 467,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,190) = 1

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

GCF(467,190) x common factors =1 x 1 = 1

LCM(467,190) = ( 467 × 190 ) / 1

LCM(467,190) = 88730 / 1

LCM(467,190) = 88730


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 1520/467, 3838/190

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 1520/467, 3838/190?

Answer: GCF of Numerators as per given numbers 1520/467, 3838/190 is

GCF of Numerators i.e. for 1520,3838 is 38

LCM of denominators i.e. for 467,190 is 88730.

Thus, GCF of Fractions is 38/88730.Finally, GCF of Fractions for 1520/467, 3838/190 is 38/88730.