Greatest Common Factor of 5185/461, 2855/9350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5185/461, 2855/9350

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 5185/461,2855/9350

Given fractions are 5185/461,2855/9350

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 5185,2855

Greatest Common Factor of Numerators i.e. GCF of 5185,2855 is 5 .

LCM of Denominators means LCM of 461,9350 as per the given fractions.

LCM of 461,9350 is 4310350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5185,2855

GCF of Fractions 5185/461,2855/9350 is 5/4310350

5 5185, 2855
1037, 571

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

Greatest Common Factor of 5185,2855 By Matching Biggest Common Factor Method

Greatest Common Factor of 5185,2855 By Matching Biggest Common Factor Method

Factors of 5185

List of positive integer factors of 5185 that divides 5185 without a remainder.

1,5,17,61,85,305,1037,5185

Factors of 2855

List of positive integer factors of 2855 that divides 2855 without a remainder.

1,5,571,2855

Greatest Common Factor

We found the factors 5185,2855 . The biggest common factor number is the GCF number.
So the greatest common factor 5185,2855 is 5.

Lets's calculate LCM of 461,9350

Given numbers has no common factors except 1. So, there LCM is their product i.e 4310350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4310350

Therefore, the GCF of Fractions 5185/461,2855/9350 is 5/4310350

Least Common Multiple of 461,9350 with GCF Formula

Least Common Multiple of 461,9350 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 461,9350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,9350) = 1

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

GCF(461,9350) x common factors =1 x 1 = 1

LCM(461,9350) = ( 461 × 9350 ) / 1

LCM(461,9350) = 4310350 / 1

LCM(461,9350) = 4310350


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 5185/461, 2855/9350

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 5185/461, 2855/9350?

Answer: GCF of Numerators as per given numbers 5185/461, 2855/9350 is

GCF of Numerators i.e. for 5185,2855 is 5

LCM of denominators i.e. for 461,9350 is 4310350.

Thus, GCF of Fractions is 5/4310350.Finally, GCF of Fractions for 5185/461, 2855/9350 is 5/4310350.