Greatest Common Factor of 4865/25, 6185/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4865/25, 6185/186

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 4865/25,6185/186

Given fractions are 4865/25,6185/186

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 4865,6185

Greatest Common Factor of Numerators i.e. GCF of 4865,6185 is 5 .

LCM of Denominators means LCM of 25,186 as per the given fractions.

LCM of 25,186 is 4650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4865,6185

GCF of Fractions 4865/25,6185/186 is 5/4650

5 4865, 6185
973, 1237

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

Greatest Common Factor of 4865,6185 By Matching Biggest Common Factor Method

Greatest Common Factor of 4865,6185 By Matching Biggest Common Factor Method

Factors of 4865

List of positive integer factors of 4865 that divides 4865 without a remainder.

1,5,7,35,139,695,973,4865

Factors of 6185

List of positive integer factors of 6185 that divides 6185 without a remainder.

1,5,1237,6185

Greatest Common Factor

We found the factors 4865,6185 . The biggest common factor number is the GCF number.
So the greatest common factor 4865,6185 is 5.

Lets's calculate LCM of 25,186

Given numbers has no common factors except 1. So, there LCM is their product i.e 4650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4650

Therefore, the GCF of Fractions 4865/25,6185/186 is 5/4650

Least Common Multiple of 25,186 with GCF Formula

Least Common Multiple of 25,186 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 25,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,186) = 1

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

GCF(25,186) x common factors =1 x 1 = 1

LCM(25,186) = ( 25 × 186 ) / 1

LCM(25,186) = 4650 / 1

LCM(25,186) = 4650


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 4865/25, 6185/186

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 4865/25, 6185/186?

Answer: GCF of Numerators as per given numbers 4865/25, 6185/186 is

GCF of Numerators i.e. for 4865,6185 is 5

LCM of denominators i.e. for 25,186 is 4650.

Thus, GCF of Fractions is 5/4650.Finally, GCF of Fractions for 4865/25, 6185/186 is 5/4650.