Greatest Common Factor of 465/38, 4555/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 465/38, 4555/815

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 465/38,4555/815

Given fractions are 465/38,4555/815

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 465,4555

Greatest Common Factor of Numerators i.e. GCF of 465,4555 is 5 .

LCM of Denominators means LCM of 38,815 as per the given fractions.

LCM of 38,815 is 30970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 465,4555

GCF of Fractions 465/38,4555/815 is 5/30970

5 465, 4555
93, 911

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

Greatest Common Factor of 465,4555 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,4555 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 4555

List of positive integer factors of 4555 that divides 4555 without a remainder.

1,5,911,4555

Greatest Common Factor

We found the factors 465,4555 . The biggest common factor number is the GCF number.
So the greatest common factor 465,4555 is 5.

Lets's calculate LCM of 38,815

Given numbers has no common factors except 1. So, there LCM is their product i.e 30970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/30970

Therefore, the GCF of Fractions 465/38,4555/815 is 5/30970

Least Common Multiple of 38,815 with GCF Formula

Least Common Multiple of 38,815 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 38,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,815) = 1

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

GCF(38,815) x common factors =1 x 1 = 1

LCM(38,815) = ( 38 × 815 ) / 1

LCM(38,815) = 30970 / 1

LCM(38,815) = 30970


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 465/38, 4555/815

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 465/38, 4555/815?

Answer: GCF of Numerators as per given numbers 465/38, 4555/815 is

GCF of Numerators i.e. for 465,4555 is 5

LCM of denominators i.e. for 38,815 is 30970.

Thus, GCF of Fractions is 5/30970.Finally, GCF of Fractions for 465/38, 4555/815 is 5/30970.