Greatest Common Factor of 5085/38, 5965/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5085/38, 5965/457

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 5085/38,5965/457

Given fractions are 5085/38,5965/457

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 5085,5965

Greatest Common Factor of Numerators i.e. GCF of 5085,5965 is 5 .

LCM of Denominators means LCM of 38,457 as per the given fractions.

LCM of 38,457 is 17366 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5085,5965

GCF of Fractions 5085/38,5965/457 is 5/17366

5 5085, 5965
1017, 1193

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

Greatest Common Factor of 5085,5965 By Matching Biggest Common Factor Method

Greatest Common Factor of 5085,5965 By Matching Biggest Common Factor Method

Factors of 5085

List of positive integer factors of 5085 that divides 5085 without a remainder.

1,3,5,9,15,45,113,339,565,1017,1695,5085

Factors of 5965

List of positive integer factors of 5965 that divides 5965 without a remainder.

1,5,1193,5965

Greatest Common Factor

We found the factors 5085,5965 . The biggest common factor number is the GCF number.
So the greatest common factor 5085,5965 is 5.

Lets's calculate LCM of 38,457

Given numbers has no common factors except 1. So, there LCM is their product i.e 17366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/17366

Therefore, the GCF of Fractions 5085/38,5965/457 is 5/17366

Least Common Multiple of 38,457 with GCF Formula

Least Common Multiple of 38,457 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 38,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,457) = 1

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

GCF(38,457) x common factors =1 x 1 = 1

LCM(38,457) = ( 38 × 457 ) / 1

LCM(38,457) = 17366 / 1

LCM(38,457) = 17366


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 5085/38, 5965/457

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 5085/38, 5965/457?

Answer: GCF of Numerators as per given numbers 5085/38, 5965/457 is

GCF of Numerators i.e. for 5085,5965 is 5

LCM of denominators i.e. for 38,457 is 17366.

Thus, GCF of Fractions is 5/17366.Finally, GCF of Fractions for 5085/38, 5965/457 is 5/17366.